From 6d53a2451e25a8cb831b4f6700104ad4ef9da41c Mon Sep 17 00:00:00 2001 From: dboyarov Date: Thu, 24 Sep 2026 18:31:50 +0300 Subject: [PATCH] lab1 --- config/utils.typ | 12 + config/variables.typ | 19 +- img/mcu-tr.png | Bin 0 -> 31818 bytes img/nand-sch.png | Bin 0 -> 36019 bytes img/nand-tr.png | Bin 0 -> 25804 bytes img/nor-sch.png | Bin 0 -> 36272 bytes img/nor-tr.png | Bin 0 -> 25626 bytes img/sdnf-sch.png | Bin 0 -> 43178 bytes img/sdnf-tr.png | Bin 0 -> 20039 bytes main.typ | 19 +- pages/content.typ | 508 +- pages/title_page.typ | 8 +- .../MicroCap/LR2601_1_SDNF_primitives.cir | 757 +++ .../MicroCap/LR2601_2_min_7400_NAND.cir | 702 +++ .../MicroCap/LR2601_3_min_7402_NOR.cir | 702 +++ .../MicroCap/LR2601_4_7400_MCU_seq.cir | 763 +++ raw-data/лаба-по-схемачу/desktop.ini | 2 + .../micropython/__pycache__/main_20kHz.cpython-311.pyc | Bin 0 -> 433 bytes .../__pycache__/main_truth_table.cpython-311.pyc | Bin 0 -> 1845 bytes .../лаба-по-схемачу/micropython/main_20kHz.py | 38 + .../micropython/main_truth_table.py | 49 + raw-data/лаба-по-схемачу/notes.txt | 1 + .../лаба-по-схемачу/Отчёт_ЛР2601_Бояров.docx | Bin 0 -> 274893 bytes .../лаба-по-схемачу/Отчёт_ЛР2601_Бояров.typ | 4551 +++++++++++++++++ 24 files changed, 8106 insertions(+), 25 deletions(-) create mode 100644 config/utils.typ create mode 100644 img/mcu-tr.png create mode 100644 img/nand-sch.png create mode 100644 img/nand-tr.png create mode 100644 img/nor-sch.png create mode 100644 img/nor-tr.png create mode 100644 img/sdnf-sch.png create mode 100644 img/sdnf-tr.png create mode 100644 raw-data/лаба-по-схемачу/MicroCap/LR2601_1_SDNF_primitives.cir create mode 100644 raw-data/лаба-по-схемачу/MicroCap/LR2601_2_min_7400_NAND.cir create mode 100644 raw-data/лаба-по-схемачу/MicroCap/LR2601_3_min_7402_NOR.cir create mode 100644 raw-data/лаба-по-схемачу/MicroCap/LR2601_4_7400_MCU_seq.cir create mode 100644 raw-data/лаба-по-схемачу/desktop.ini create mode 100644 raw-data/лаба-по-схемачу/micropython/__pycache__/main_20kHz.cpython-311.pyc create mode 100644 raw-data/лаба-по-схемачу/micropython/__pycache__/main_truth_table.cpython-311.pyc create mode 100644 raw-data/лаба-по-схемачу/micropython/main_20kHz.py create mode 100644 raw-data/лаба-по-схемачу/micropython/main_truth_table.py create mode 100644 raw-data/лаба-по-схемачу/notes.txt create mode 100644 raw-data/лаба-по-схемачу/Отчёт_ЛР2601_Бояров.docx create mode 100644 raw-data/лаба-по-схемачу/Отчёт_ЛР2601_Бояров.typ diff --git a/config/utils.typ b/config/utils.typ new file mode 100644 index 0000000..d805680 --- /dev/null +++ b/config/utils.typ @@ -0,0 +1,12 @@ +#let fill-in(body) = highlight(fill: rgb("#FFF200"), text(style: "italic")[\[#body\]]) +#let hdr(..cells) = cells.pos().map(c => table.cell(fill: luma(217), strong(c))) +#let one = rgb("#C6EFCE") +#let zero = rgb("#FFD7D7") + +#let placeholder(what) = block( + width: 100%, + height: 5cm, + stroke: 0.6pt, + inset: 8pt, + align(center + horizon, fill-in[Вставьте сюда #what]), +) \ No newline at end of file diff --git a/config/variables.typ b/config/variables.typ index 2fc4fa8..0d2f44e 100644 --- a/config/variables.typ +++ b/config/variables.typ @@ -1,12 +1,13 @@ -#let student_name = "Иванов И.И." -#let group = "ФФФ1234" -#let teacher_name = "Александров А.А." +#import "utils.typ": fill-in + +#let student_name = "Бояров Данила" +#let group = fill-in[группа] +#let teacher_name = fill-in[И.О. Фамилия] #let teacher_grade = "старший преподаватель" -#let department = "«Теории электрических цепей»" -#let faculty = "того самого" - -#let lab_num = 42069 -#let discipline = "сложной" -#let theme = "Исследование чего-то там" +#let department = "«радиооборудования и схемотехники»" +#let faculty = fill-in[факультет] +#let lab_num = 2601 +#let discipline = "«Цифровая схемотехника»" +#let theme = "«Базовые логические элементы»" \ No newline at end of file diff --git a/img/mcu-tr.png b/img/mcu-tr.png new file mode 100644 index 0000000000000000000000000000000000000000..a6b4c68010a51b8dccabfb853d5276ba9baa807e GIT binary patch literal 31818 zcmZtt2Uru`7xs+?0|AkufM8Grl#bL;r7O~V5T*AZU5e5>f=KT{dN)Y1&>?_G6M`TT zK)N8kgQ1si`~2VUocCPU;Sv&)$;@QW-fP|Kx9*A3(Nd-)XC#L}Ae5>qih2+TtOx>u zB8Z{j72#r+C*VO)M??S7#lN59;Qi{JmEs_vzJ&VaY%@cb4AZ39$7Zw4@AWI z{4|PXBTpZlVVNz?$$N!4*;tLjdF*<*!EzFOrNHT6LCf~=%d{LC=>LCD zFyb683ggb36Oa;9A-6fntq-}eK{s!B)kwwIr?)`ckh@j;oE|4qkl^?HITCKT`#p7) 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zSF#xlM%CLBqsq?NTi3u@|A@}^Z%_O%aIv+cp+b!qjKO!Q4{0~OP_J8Gxwf;sPXA*n>`L}xIDX7y$|mwFAIT0fd-()y2yrmcF7cZt?(TF21p4Q22{ShuL)pxXiL zQ#qmV#4q;h`uL$OcfEAV8S2}6X8yAB{au;lM-F|$r%DXQ;Az996P*muiUg2=2E&y3 z9|p{A&0sJX3 { + set text(size: 12pt) + set par(first-line-indent: 0pt) + if it.kind == table { align(left, it) } else { it } +} +#set figure.caption(separator: [ – ]) +#show figure: set block(breakable: true) +#set table(stroke: 0.5pt, inset: (x: 5pt, y: 4pt)) +#show table: set text(size: 12pt) +#show table: set par(justify: false, first-line-indent: 0pt) + #show heading: it => { it par(first-line-indent: 1.25cm)[#text()[]] @@ -29,7 +45,8 @@ #pagebreak() #outline( - title: [Содержание] + title: [Содержание], + depth: 1, ) #pagebreak() diff --git a/pages/content.typ b/pages/content.typ index 40d1c03..99c0ea8 100644 --- a/pages/content.typ +++ b/pages/content.typ @@ -1,23 +1,507 @@ -= Цель работы +#import "../config/utils.typ": * -[Цель работы] +#par(first-line-indent: 0pt)[#fill-in[Жёлтым маркером отмечены места, которые заполняются по результатам работы на стенде (измерения, осциллограммы, снимки DSView), а также номер группы и ФИО преподавателя]] -= Предварительный расчёт +// ===================================================================== += 1 Цель работы -[Предварительный расчёт] +Ознакомиться с базовыми логическими элементами, реализующими логические операции НЕ, И-НЕ, ИЛИ-НЕ, и их особенностями на примере микросхем серии 74HC: научиться по таблице истинности строить и минимизировать логическую функцию, реализовывать её в базисах 2И-НЕ и 2ИЛИ-НЕ, моделировать схему в Micro-Cap, измерять задержку распространения сигнала и наблюдать ложные срабатывания (состязания сигналов). -= Экспериментальный расчёт +// ===================================================================== += 2 Краткие теоретические сведения -[Экспериментальный расчёт] +Логический элемент – схема, выходной сигнал которой (0 или 1) определяется логической функцией от входных сигналов. В работе используются микросхемы серии 74HC (КМОП): 74HC04 – шесть инверторов (НЕ), 74HC00 – четыре элемента 2И-НЕ, 74HC02 – четыре элемента 2ИЛИ-НЕ, 74HC14 – шесть инверторов с триггером Шмитта. -= Обработка результатов машинного эксперимента +#figure( + table(columns: (2cm, 2cm, 3cm, 3.5cm, 3.5cm), align: center, + ..hdr[A][B][НЕ A][A И-НЕ B][A ИЛИ-НЕ B], + [0], [0], [1], [1], [1], + [0], [1], [1], [1], [0], + [1], [0], [0], [1], [0], + [1], [1], [0], [0], [0]), + caption: [Базовые логические элементы]) -[Обработка результатов] +Элементы И-НЕ и ИЛИ-НЕ называют универсальными: из элементов одного такого типа можно построить любую логическую функцию. Инвертор получают, соединив оба входа элемента вместе: И-НЕ(A, A) = ИЛИ-НЕ(A, A) = $overline(A)$. -= Вывод +Для перевода выражения в базис И-НЕ или ИЛИ-НЕ используют правила де Моргана: +$ overline(A dot B) = overline(A) + overline(B), quad quad overline(A + B) = overline(A) dot overline(B). $ -[Вывод] +Минимизация функции выполняется с помощью карты Карно – таблицы, в которой соседние клетки отличаются значением только одной переменной (строки и столбцы нумеруются кодом Грея 00, 01, 11, 10). Соседние единицы (или нули) объединяются в прямоугольные группы по 2, 4, 8 клеток; переменные, которые внутри группы меняются, из соответствующего слагаемого исчезают. Клетки, значение которых по условию не задано («безразличные», обозначены «–»), можно доопределять нулём или единицей так, как удобнее для укрупнения групп. -= Ответы на вопросы для самопроверки +Задержка распространения $t_"pd"$ – время между изменением входного сигнала и соответствующим изменением выходного (измеряется по уровню 50 %). Для 74HC она зависит от напряжения питания: чем оно ниже, тем медленнее переключается элемент. При последовательном включении $N$ элементов задержки складываются. -[Ответы на вопросы] +Ложное срабатывание (риск сбоя, «глитч») – короткий импульс на выходе комбинационной схемы, которого не должно быть по таблице истинности. Он возникает, когда при смене входного набора сигналы приходят на входы элемента разными путями с разной задержкой (состязания, гонки сигналов), или когда входные сигналы сами меняются не одновременно. Триггер Шмитта – элемент с гистерезисом: у него разные пороги переключения при нарастании ($V_(T+)$) и спаде ($V_(T-)$) входного напряжения, поэтому короткие «недоросшие» импульсы и шум на медленных фронтах он не пропускает. + +// ===================================================================== += 3 Модель индивидуального варианта + +== 3.1 Формирование индивидуального варианта + +Студент: Бояров Данила. Первые четыре буквы имени: Д, А, Н, И – им соответствует значение $Y = 1$. Первые четыре буквы фамилии: Б, О, Я, Р – им соответствует $Y = 0$. + +Номер буквы берётся по алфавиту, номер строки таблицы – как остаток от деления номера буквы на 16. Нумерация выполнена так же, как в примере методички (Пётр Иванов: П = 1, Е = 6, Т = 4, Р = 2, И = 10, В = 3, А = 1, Н = 15). Этот пример получается только при нумерации по полному алфавиту из 33 букв (А = 1, …, Е = 6, Ё = 7, Ж = 8, …, И = 10, …, Я = 33), а указание «удалить букву ё» относится к самим имени и фамилии (Пётр → Петр). Строки таблицы нумеруются с единицы: номер 1 – строка 0000, номер 2 – строка 0001, …, номер 16 (остаток 0) – строка 1111. При совпадении номеров (коллизии) занимается следующая свободная строка. Сначала расставляются буквы имени, затем фамилии. + +#figure( + table(columns: (1.6cm, 2.4cm, 2.8cm, 2.6cm, 4.4cm, 1.2cm), align: center + horizon, + ..hdr[Буква][Номер в алфавите][Остаток от деления на 16][Строка по номеру][Занятая строка (X4X3X2X1)][Y], + [Д], [5], [5], [5], [5 (0100)], [1], + [А], [1], [1], [1], [1 (0000)], [1], + [Н], [15], [15], [15], [15 (1110)], [1], + [И], [10], [10], [10], [10 (1001)], [1], + [Б], [2], [2], [2], [2 (0001)], [0], + [О], [16], [0], [16], [16 (1111)], [0], + [Я], [33], [1], [1 – занята], [1, 2 заняты → 3 (0010)], [0], + [Р], [18], [2], [2 – занята], [2, 3 заняты → 4 (0011)], [0]), + caption: [Определение строк таблицы истинности]) + +== 3.2 Таблица истинности + +#figure( + table(columns: (1.2cm, 1.5cm, 1.5cm, 1.5cm, 1.5cm, 1.5cm, 1.8cm), align: center, + ..hdr[№][X4][X3][X2][X1][Y][Буква], + [1], [0], [0], [0], [0], table.cell(fill: one)[1], [А], + [2], [0], [0], [0], [1], table.cell(fill: zero)[0], [Б], + [3], [0], [0], [1], [0], table.cell(fill: zero)[0], [Я], + [4], [0], [0], [1], [1], table.cell(fill: zero)[0], [Р], + [5], [0], [1], [0], [0], table.cell(fill: one)[1], [Д], + [6], [0], [1], [0], [1], [–], [], + [7], [0], [1], [1], [0], [–], [], + [8], [0], [1], [1], [1], [–], [], + [9], [1], [0], [0], [0], [–], [], + [10], [1], [0], [0], [1], table.cell(fill: one)[1], [И], + [11], [1], [0], [1], [0], [–], [], + [12], [1], [0], [1], [1], [–], [], + [13], [1], [1], [0], [0], [–], [], + [14], [1], [1], [0], [1], [–], [], + [15], [1], [1], [1], [0], table.cell(fill: one)[1], [Н], + [16], [1], [1], [1], [1], table.cell(fill: zero)[0], [О], + ), + caption: [Таблица истинности индивидуального варианта («–» – значение не задано)]) + +X4 – старший разряд, X1 – младший, т. е. набор X4X3X2X1 – это двоичная запись числа (номер строки минус 1). + +== 3.3 Логическое выражение (СДНФ) + +Функция равна единице на четырёх наборах: 0000, 0100, 1001, 1110. Для каждого такого набора записывается произведение всех переменных, причём переменная, равная в наборе нулю, берётся с инверсией. Сумма этих произведений – совершенная дизъюнктивная нормальная форма (СДНФ): +$ Y = overline(X_4) thin overline(X_3) thin overline(X_2) thin overline(X_1) + overline(X_4) X_3 overline(X_2) thin overline(X_1) + X_4 overline(X_3) thin overline(X_2) X_1 + X_4 X_3 X_2 overline(X_1). $ + +== 3.4 Минимизация по единицам (карта Карно) + +Строки карты – X2X1, столбцы – X4X3, порядок в коде Грея (00, 01, 11, 10), поэтому любые две соседние клетки, в том числе крайние (карта «сворачивается» в тор), отличаются одной переменной. Замечание: в примере методички строки и столбцы записаны в порядке 00, 01, 10, 11 – группы там объединены правильно по смыслу, но визуально соседние клетки не всегда являются логически соседними, поэтому здесь использован стандартный порядок кода Грея. + +#figure( + table(columns: (3.4cm, 2.4cm, 2.4cm, 2.4cm, 2.4cm), align: center, + ..hdr[X2X1 \\ X4X3][00][01][11][10], + [00], table.cell(fill: one)[1], table.cell(fill: one)[1], [–], [–], + [01], table.cell(fill: zero)[0], [–], [–], table.cell(fill: one)[1], + [11], table.cell(fill: zero)[0], [–], table.cell(fill: zero)[0], [–], + [10], table.cell(fill: zero)[0], [–], table.cell(fill: one)[1], [–], + ), + caption: [Карта Карно исходной функции]) + +Безразличные клетки доопределяются единицами там, где это позволяет укрупнить группы, при этом ни одна группа не должна захватить заданный нуль (клетки 0001, 0010, 0011, 1111). Получаются три группы по 4 клетки: + +#figure( + table(columns: (3.4cm, 2.4cm, 2.4cm, 2.4cm, 2.4cm), align: center, + ..hdr[X2X1 \\ X4X3][00][01][11][10], + [00], table.cell(fill: one)[1], table.cell(fill: one)[1], table.cell(fill: one)[1\*], table.cell(fill: one)[1\*], + [01], [0], [0\*], table.cell(fill: one)[1\*], table.cell(fill: one)[1], + [11], [0], [0\*], [0], [0\*], + [10], [0], [0\*], table.cell(fill: one)[1], table.cell(fill: one)[1\*], + ), + caption: [Карта Карно после доопределения (оптимизация по единицам; добавленные единицы отмечены «1\*»)]) + +#figure( + table(columns: (1.8cm, 5.2cm, 4.4cm, 3.6cm), align: center + horizon, + ..hdr[Группа][Клетки (X4X3X2X1)][Что не меняется][Слагаемое], + [1], [0000, 0100, 1100, 1000], [X2 = 0, X1 = 0], [$overline(X_2) thin overline(X_1)$], + [2], [1000, 1001, 1100, 1101], [X4 = 1, X2 = 0], [$X_4 overline(X_2)$], + [3], [1000, 1010, 1100, 1110], [X4 = 1, X1 = 0], [$X_4 overline(X_1)$]), + caption: [Группы единиц]) + +Группа 1 покрывает единицы 0000 и 0100, группа 2 – единицу 1001, группа 3 – единицу 1110. Минимальная дизъюнктивная нормальная форма (МДНФ): +$ Y = overline(X_2) thin overline(X_1) + X_4 overline(X_2) + X_4 overline(X_1). $ + +Переменная X3 из функции исчезла: при выбранном доопределении выход от X3 не зависит. Меньше трёх слагаемых получить нельзя: единицы 1001 и 1110 отличаются тремя разрядами, и единственная группа, содержащая обе клетки ($X_4 = 1$, 8 клеток), захватывает заданный нуль 1111. + +== 3.5 Минимизация по нулям + +Аналогично объединяются нули; безразличные клетки доопределяются так же (иначе функции по единицам и по нулям не совпадали бы). Каждая группа нулей даёт сомножитель-сумму, в которой переменная, равная в группе единице, берётся с инверсией: + +#figure( + table(columns: (3.4cm, 2.4cm, 2.4cm, 2.4cm, 2.4cm), align: center, + ..hdr[X2X1 \\ X4X3][00][01][11][10], + [00], [1], [1], [1\*], [1\*], + [01], table.cell(fill: zero)[0], table.cell(fill: zero)[0\*], [1\*], [1], + [11], table.cell(fill: zero)[0], table.cell(fill: zero)[0\*], table.cell(fill: zero)[0], table.cell(fill: zero)[0\*], + [10], table.cell(fill: zero)[0], table.cell(fill: zero)[0\*], [1], [1\*], + ), + caption: [Карта Карно, оптимизация по нулям (добавленные нули отмечены «0\*»)]) + +#figure( + table(columns: (1.8cm, 5.2cm, 4.4cm, 3.6cm), align: center + horizon, + ..hdr[Группа][Клетки (X4X3X2X1)][Что не меняется][Сомножитель], + [1], [0001, 0011, 0101, 0111], [X4 = 0, X1 = 1], [$(X_4 + overline(X_1))$], + [2], [0010, 0011, 0110, 0111], [X4 = 0, X2 = 1], [$(X_4 + overline(X_2))$], + [3], [0011, 0111, 1011, 1111], [X2 = 1, X1 = 1], [$(overline(X_2) + overline(X_1))$]), + caption: [Группы нулей]) + +$ Y = (X_4 + overline(X_1)) (X_4 + overline(X_2)) (overline(X_2) + overline(X_1)). $ + +Проверка: раскрыв скобки, получаем то же выражение, что и в п. 3.4. Функция является функцией «большинства» (мажоритарной) от трёх сигналов $X_4$, $overline(X_1)$, $overline(X_2)$: $Y = 1$, когда хотя бы два из них равны единице. + +== 3.6 Перевод в базисы 2И-НЕ и 2ИЛИ-НЕ + +Доступны только двухвходовые элементы И-НЕ (74HC00) и ИЛИ-НЕ (74HC02); обычные И и ИЛИ недоступны, инверторы делаются из тех же элементов с объединёнными входами. Ниже для краткости используется функциональная запись: И-НЕ(a, b) = $overline(a dot b)$, ИЛИ-НЕ(a, b) = $overline(a + b)$. + ++ МДНФ в базисе 2И-НЕ (двойная инверсия и правило де Моргана): + $ Y = overline(overline(overline(X_2) thin overline(X_1)) dot overline(X_4 overline(X_2)) dot overline(X_4 overline(X_1))) = "И-НЕ"_3 ("И-НЕ"(overline(X_2), overline(X_1)), "И-НЕ"(X_4, overline(X_2)), "И-НЕ"(X_4, overline(X_1))). $ + Трёхвходовое И-НЕ из двухвходовых требует ещё трёх элементов, итого: 2 инвертора + 3 + 3 = 8 элементов. ++ МДНФ в базисе 2ИЛИ-НЕ: каждое произведение превращается в ИЛИ-НЕ от инверсий ($X_4 overline(X_2)$ = ИЛИ-НЕ($overline(X_4)$, $X_2$) и т. д.), затем нужна сумма трёх слагаемых – итого 8 элементов. ++ МКНФ в базисе 2ИЛИ-НЕ: $Y$ = ИЛИ-НЕ#sub[3]\(ИЛИ-НЕ($X_4$, $overline(X_1)$), ИЛИ-НЕ($X_4$, $overline(X_2)$), ИЛИ-НЕ($overline(X_2)$, $overline(X_1)$)) – 8 элементов. ++ МКНФ в базисе 2И-НЕ: сомножители $X_4 + overline(X_1)$ = И-НЕ($overline(X_4)$, $X_1$) и т. д., затем И трёх сомножителей – 8 элементов. + +Число элементов можно уменьшить, если вынести общий множитель за скобки (скобочная форма): +$ Y = X_4 (overline(X_1) + overline(X_2)) + overline(X_1) thin overline(X_2) = X_4 overline(X_1 X_2) + overline(X_1) thin overline(X_2), $ +$ Y = (X_4 + overline(X_1) thin overline(X_2)) (overline(X_1) + overline(X_2)). $ + +Отсюда по правилам де Моргана: +$ Y = "И-НЕ"("И-НЕ"(X_4, "И-НЕ"(X_1, X_2)), "И-НЕ"(overline(X_1), overline(X_2))), quad overline(X_i) = "И-НЕ"(X_i, X_i); $ +$ Y = "ИЛИ-НЕ"("ИЛИ-НЕ"(X_4, "ИЛИ-НЕ"(X_1, X_2)), "ИЛИ-НЕ"(overline(X_1), overline(X_2))), quad overline(X_i) = "ИЛИ-НЕ"(X_i, X_i). $ + +Проверка второй формулы: ИЛИ-НЕ($X_1$, $X_2$) = $overline(X_1) thin overline(X_2)$; ИЛИ-НЕ($X_4$, $overline(X_1) thin overline(X_2)$) = $overline(X_4 + overline(X_1) thin overline(X_2))$; ИЛИ-НЕ($overline(X_1)$, $overline(X_2)$) = $X_1 X_2 = overline(overline(X_1) + overline(X_2))$; внешнее ИЛИ-НЕ двух инверсий даёт произведение $(X_4 + overline(X_1) thin overline(X_2))(overline(X_1) + overline(X_2)) = Y$. + +#figure( + table(columns: (4.2cm, 3.4cm, 3.4cm, 2.4cm, 2.6cm), align: center + horizon, + ..hdr[Вариант][Базис][Число 2-входовых элементов][Число микросхем][Ступеней в пути], + [МДНФ, «в лоб»], [2И-НЕ], [8], [2], [4], + [МДНФ, «в лоб»], [2ИЛИ-НЕ], [8], [2], [5], + [МКНФ, «в лоб»], [2ИЛИ-НЕ], [8], [2], [4], + [МКНФ, «в лоб»], [2И-НЕ], [8], [2], [5], + [Скобочная форма], [2И-НЕ (7400)], table.cell(fill: one)[6], [2], [3], + [Скобочная форма], [2ИЛИ-НЕ (7402)], table.cell(fill: one)[6], [2], [3]), + caption: [Сравнение вариантов реализации]) + +Наименьшее число действий – 6 элементов – дают скобочные формы, причём в обоих базисах одинаково. То, что меньше шести двухвходовых элементов не бывает, дополнительно проверено полным перебором всех схем из 1…5 элементов И-НЕ (и отдельно ИЛИ-НЕ) на компьютере: ни одна не реализует функцию. Обе схемы имеют одинаковую структуру (@fig:nand-sch и @fig:nor-sch), поэтому промоделированы обе; на стенде можно собрать любую, основной выбрана схема на 2И-НЕ. + +#figure( + table(columns: (2.3cm,) + (1.4cm,) * 8, align: center, + ..hdr[X4X3X2X1][0000][0001][0010][0011][0100][0101][0110][0111], + [*Y*], [1], [0], [0], [0], [1], [0], [0], [0], + ..hdr[X4X3X2X1][1000][1001][1010][1011][1100][1101][1110][1111], + [*Y*], [1], [1], [1], [0], [1], [1], [1], [0], + ), + caption: [Полная таблица реализованной функции (с учётом доопределения)]) + +== 3.7 Моделирование в Micro-Cap 12 + +=== 3.7.1 Генератор входных сигналов + +На схему помещается генератор Stim4 (Component → Digital Primitives → Stimulus Generators → Stim4). Его выходы подключены так: Out3 → X4 (старший разряд), Out2 → X3, Out1 → X2, Out0 → X1. Атрибут COMMAND = SixteenCount, FORMAT = 1111 (двоичные значения), а на странице Text схемы записана команда из методички: + +``` +.define SixteenCount ++0ns 0000 ++label=start ++100ns Incr By 0001 ++200ns goto start Until GE 1111 +``` + +Генератор перебирает наборы 0000 → 1111, каждый держится 100 нс; после 1,5 мкс остаётся 1111. Анализ Transient: Maximum Run Time = 2u, графики d(X4), d(X3), d(X2), d(X1), d(OUT). Number of Points = 4001 (шаг вывода 0,5 нс) – увеличено по сравнению с методичкой, чтобы по числовому выводу точно измерить задержки; на вид графиков это не влияет. + +=== 3.7.2 Исходная функция (СДНФ) на цифровых примитивах + +Схема собрана из примитивов Inverter, And4, Or4 (модель задержки D0\_GATE – идеальные элементы без задержки): четыре инвертора формируют $overline(X_4)$, $overline(X_3)$, $overline(X_2)$, $overline(X_1)$, четыре элемента 4И реализуют четыре произведения СДНФ, элемент 4ИЛИ их складывает. + +#figure(image("../img/sdnf-sch.png", width: 14.5cm), caption: [Схема исходной функции (СДНФ) в Micro-Cap]) + +#figure(image("../img/sdnf-tr.png", width: 100%), caption: [Временные диаграммы схемы СДНФ (шаг набора 100 нс)]) + +Выход OUT равен единице на интервалах 0–100 нс (набор 0000), 400–500 нс (0100), 900–1000 нс (1001), 1400–1500 нс (1110) и нулю на всех остальных. Это в точности совпадает с таблицей истинности (@tab:truth): все заданные единицы и нули на месте, индивидуальный вариант построен верно. Задержек нет, так как примитивы с моделью D0\_GATE идеальные. + +=== 3.7.3 Минимальная функция на элементах 7400 (2И-НЕ) + +Схема собрана из моделей реальных микросхем (Component → Digital Library → 74xx00 → 00 → 7400). В Micro-Cap каждый символ 7400 – это один элемент 2И-НЕ из четырёх, имеющихся в корпусе. Элементы X1, X2 – инверторы (входы объединены), X3 = И-НЕ($X_1$, $X_2$) = A, X4 = И-НЕ($overline(X_1)$, $overline(X_2)$) = C, X5 = И-НЕ($X_4$, A) = B, X6 = И-НЕ(C, B) = OUT. Для наглядности на диаграмму выведены и промежуточные сигналы. + +#figure(image("../img/nand-sch.png", width: 14.5cm), caption: [Схема минимальной функции в базисе 2И-НЕ (7400)]) + +#figure(image("../img/nand-tr.png", width: 100%), caption: [Временные диаграммы схемы на 7400]) + +=== 3.7.4 Минимальная функция на элементах 7402 (2ИЛИ-НЕ) + +Та же структура, но все элементы – 2ИЛИ-НЕ (Digital Library → 74xx00 → 02 → 7402). + +#figure(image("../img/nor-sch.png", width: 14.5cm), caption: [Схема минимальной функции в базисе 2ИЛИ-НЕ (7402)]) + +#figure(image("../img/nor-tr.png", width: 100%), caption: [Временные диаграммы схемы на 7402]) + +=== 3.7.5 Анализ результатов моделирования + +Значения выхода схем на 7400 и 7402 проверены по числовому выводу Micro-Cap (файл .TNO) в конце каждого 100-наносекундного интервала: на всех 16 наборах они совпадают с полной таблицей реализованной функции (@tab:full), в том числе на всех восьми заданных клетках варианта. Значит, минимизация выполнена верно. + +#figure( + table(columns: (5.4cm, 3.6cm, 3.6cm, 3.4cm), align: center + horizon, + ..hdr[Схема][Задержка 1 → 0 на выходе, нс][Задержка 0 → 1 на выходе, нс][Ложные срабатывания], + [СДНФ, примитивы D0\_GATE], [0], [0], [нет], + [7400 (2И-НЕ), 3 ступени], [25], [29], [нет], + [7402 (2ИЛИ-НЕ), 3 ступени], [28], [32], [нет]), + caption: [Задержки, полученные при моделировании (по числовому выводу)]) + +Задержка схемы на реальных элементах составляет 25–32 нс – это сумма задержек трёх последовательных элементов (около 7–11 нс на элемент у модели ТТЛ-микросхемы 7400). Переход 0 → 1 на выходе дольше, чем 1 → 0, так как у ТТЛ-элементов время включения $t_"PLH"$ больше времени выключения $t_"PHL"$. Выходной сигнал оказывается сдвинутым вправо относительно входных наборов (сравните @fig:sdnf-tr и @fig:nand-tr). + +В отличие от примера методички, ложных срабатываний в модели нет. Причина – в устройстве схемы: при смене набора выход может «дёрнуться» только если на входы одного элемента приходят два меняющихся сигнала с разной задержкой. Такие места в схеме есть: + +- переход 0001 → 0010 (X1 падает, X2 растёт, $Y = 0 → 0$): на элемент C приходят $overline(X_1)$ (растёт) и $overline(X_2)$ (падает). Если бы $overline(X_1)$ вырос раньше, чем упадёт $overline(X_2)$, на короткое время оба были бы равны 1, $C = 0$, и на выходе появился бы ложный импульс «1». У модели 7400 спад ($t_"PHL" approx 7$ нс) быстрее нарастания ($t_"PLH" approx 11$ нс), поэтому $overline(X_2)$ успевает упасть первым и импульса нет; +- переход 1001 → 1010 ($Y = 1 → 1$): элемент A = И-НЕ($X_1$, $X_2$) получает сразу два меняющихся входа; генератор Stim4 меняет их строго одновременно, поэтому провала нет. + +У реальных микросхем 74HC времена $t_"PLH"$ и $t_"PHL"$ почти одинаковы, а входные сигналы от микроконтроллера меняются не одновременно, поэтому на стенде в этих местах ложные срабатывания вполне возможны (см. раздел 7). + +// ===================================================================== += 4 Экспериментальная часть: измеренные задержки + +Измерения выполняются на лабораторном стенде: на вход цепочки инверторов 74HC04 подаётся меандр 20 кГц с микроконтроллера ESP32-C3 (программа – Приложение А), осциллограф Hantek DSO2D10 подключается каналом CH1 ко входу цепочки, каналом CH2 – к выходу. Задержка измеряется между уровнями 50 % фронтов (курсорами по времени или автоматическим измерением Delay CH1→CH2). Подробный порядок действий – в Приложении Б. + +Справочные значения для 74HC04 (Texas Instruments, $C_L = 50$ пФ, 25 °C): $t_"pd"$ тип. = 45 нс при 2 В, 9 нс при 4,5 В, 8 нс при 6 В; максимум 19 нс при 4,5 В. Для 3,3 В в справочнике нет строки – по интерполяции типовое значение порядка 12–15 нс. На плате нагрузка меньше 50 пФ (вход следующего элемента + щуп), поэтому реальные задержки могут быть меньше справочных. + +#figure( + table(columns: (2.6cm, 2.2cm, 3.8cm, 3.6cm, 3.6cm), align: center + horizon, + ..hdr[Число инверторов][Питание, В][Ожидаемая задержка (оценка), нс][Измеренная задержка, нс][Задержка на один инвертор, нс], + [2], [3,3], [24 … 30], [#fill-in[]], [#fill-in[]], + [2], [5,0], [16 … 18], [#fill-in[]], [#fill-in[]], + [6], [3,3], [72 … 90], [#fill-in[]], [#fill-in[]], + [6], [5,0], [48 … 54], [#fill-in[]], [#fill-in[]]), + caption: [Задержка распространения цепочки инверторов 74HC04]) + +Задержка на один инвертор = измеренная задержка / число инверторов. Ожидается, что: 1) задержка цепочки из 6 инверторов примерно втрое больше, чем из 2; 2) при 3,3 В задержка заметно (в 1,4–1,7 раза) больше, чем при 5 В. + +*Важное замечание для измерений при 5 В.* Микроконтроллер выдаёт сигнал 3,3 В, а при питании 74HC от 5 В гарантированный порог «единицы» на входе $V_"IH"$ = 3,5 В. Обычно элемент всё равно переключается (реальный порог около $V_"CC"$/2 ≈ 2,5 В), но задержка первого инвертора при этом может немного отличаться – это стоит отметить при обсуждении результатов. + +// ===================================================================== += 5 Осциллограммы сигналов + +На каждой осциллограмме должны быть видны вход (CH1) и выход (CH2) цепочки и измеренное значение задержки. Удобно растянуть по времени один фронт (развёртка 10–20 нс/дел.). Снимок экрана осциллографа сохраняется на флешку (кнопка Save/Print) или фотографируется. + +#figure(placeholder[осциллограмму: 2 инвертора, 3,3 В], caption: [Вход и выход цепочки из 2 инверторов, питание 3,3 В]) +#figure(placeholder[осциллограмму: 2 инвертора, 5 В], caption: [Вход и выход цепочки из 2 инверторов, питание 5 В]) +#figure(placeholder[осциллограмму: 6 инверторов, 3,3 В], caption: [Вход и выход цепочки из 6 инверторов, питание 3,3 В]) +#figure(placeholder[осциллограмму: 6 инверторов, 5 В], caption: [Вход и выход цепочки из 6 инверторов, питание 5 В]) + +// ===================================================================== += 6 Временные диаграммы, измеренные через DSView + +На плате собирается схема минимальной функции на элементах 2И-НЕ (@fig:nand-sch). Выводы микроконтроллера подключаются к входам: GPIO6 → X1, GPIO7 → X2, GPIO8 → X3 (в схеме не используется, но записывается анализатором), GPIO10 → X4. Логический анализатор DSLogic: каналы 0–3 → X1…X4, канал 4 → выход Y, земля анализатора – на GND платы. Программа перебирает наборы 0000…1111, каждый длится 100 мкс (10 кГц). В DSView частота выборки – не ниже 100 МГц, чтобы были видны короткие (десятки наносекунд) ложные импульсы. + +#figure( + table(columns: (5.4cm, 2.0cm, 4.4cm, 3.6cm), align: center + horizon, + ..hdr[Элемент схемы][Функция][Входы][Выход], + [X1 (1-й элемент 1-й микросхемы)], [$overline(X_1)$], [X1, X1 (выв. 1, 2)], [$overline(X_1)$ (выв. 3)], + [X2 (2-й элемент 1-й микросхемы)], [$overline(X_2)$], [X2, X2 (выв. 4, 5)], [$overline(X_2)$ (выв. 6)], + [X3 (3-й элемент 1-й микросхемы)], [A], [X1, X2 (выв. 9, 10)], [A (выв. 8)], + [X4 (4-й элемент 1-й микросхемы)], [C], [$overline(X_1)$, $overline(X_2)$ (выв. 12, 13)], [C (выв. 11)], + [X5 (1-й элемент 2-й микросхемы)], [B], [X4, A (выв. 1, 2)], [B (выв. 3)], + [X6 (2-й элемент 2-й микросхемы)], [Y], [C, B (выв. 4, 5)], [Y (выв. 6)]), + caption: [Подключение элементов 74HC00 на плате (пример; номера выводов – по даташиту 74HC00)]) + +На плате выводы микросхем выведены на штыревые разъёмы (см. разводку в Приложении 2 методички), поэтому соединения делаются перемычками между соответствующими контактами. + +#figure(placeholder[снимок DSView: весь цикл 1,6 мс], caption: [Временная диаграмма схемы индивидуального варианта, снятая в DSView (полный перебор 0000…1111)]) +#figure(placeholder[снимок DSView: увеличенный фрагмент с ложным импульсом], caption: [Ложное срабатывание крупным планом (DSView)]) +#figure(placeholder[снимок DSView после включения 74HC14], caption: [Устранение ложного срабатывания триггером Шмитта 74HC14 (DSView)]) + +Устранение ложного срабатывания (пп. 29–31 порядка выполнения). Выход схемы подключается ко входу инвертора с триггером Шмитта 74HC14; так как элемент инвертирующий, для получения прямого сигнала $Y$ ставят два таких инвертора последовательно (или анализируют $overline(Y)$). Короткий импульс длительностью в единицы наносекунд не успевает перезарядить входную ёмкость до верхнего порога $V_(T+)$ (≈ 2,5 В при 4,5 В питания), и триггер Шмитта его не пропускает. Если импульс длиннее, между выходом схемы и входом 74HC14 включают RC-цепочку (например, $R = 1$ кОм, $C = 100$ пФ, $tau = 100$ нс): она «растягивает» фронты, а гистерезис триггера Шмитта не даёт медленному фронту вызвать дребезг. Ложные импульсы короче ≈ $tau$ при этом подавляются, а полезный сигнал 10 кГц (100 мкс) лишь задерживается на ≈ 0,1 мкс. + +#par(first-line-indent: 0pt)[#fill-in[опишите, какой вариант был выбран, сколько было ложных срабатываний до и после включения 74HC14]] + +// ===================================================================== += 7 Сравнение модели с результатом в DSView + +Модель Micro-Cap из раздела 3 предполагает, что все входы меняются строго одновременно. Микроконтроллер при записи через `Pin.value()` меняет выводы по очереди, с интервалом в несколько микросекунд. Чтобы предсказать, что покажет DSView, выполнено дополнительное моделирование: генератор меняет X1, X2, X3, X4 по очереди с шагом 8 мкс, новый набор – каждые 100 мкс (10 кГц), схема – та же, на 7400. + +#figure(image("../img/mcu-tr.png", width: 100%), caption: [Прогноз для стенда: выводы МК переключаются по очереди (шаг 8 мкс), 10 кГц]) + +#figure( + table(columns: (3.0cm, 4.2cm, 3.6cm, 5.2cm), align: center + horizon, + ..hdr[Переход][Промежуточные наборы][Y по пути][Результат], + [0001 → 0010], [0000], [0 → 1 → 0], table.cell(fill: zero)[ложный импульс «1» ≈ 8 мкс], + [0011 → 0100], [0010, 0000], [0 → 0 → 1 → 1], [выход переключается раньше], + [0101 → 0110], [0100], [0 → 1 → 0], table.cell(fill: zero)[ложный импульс «1» ≈ 8 мкс], + [0111 → 1000], [0110, 0100, 0000], [0 → 0 → 1 → 1 → 1], [выход переключается раньше], + [1001 → 1010], [1000], [1 → 1 → 1], [без изменений], + [1011 → 1100], [1010, 1000], [0 → 1 → 1 → 1], [выход переключается раньше], + [1101 → 1110], [1100], [1 → 1 → 1], [без изменений]), + caption: [Промежуточные наборы при последовательной записи X1 → X2 → X3 → X4]) + +Моделирование (@fig:mcu) подтверждает анализ: на выходе появляются два ложных импульса – в моменты 200 мкс (0001 → 0010) и 600 мкс (0101 → 0110), каждый длительностью ≈ 8 мкс. Если в программе использовать одновременную запись всех четырёх битов в регистр GPIO (переменная `SIMULTANEOUS = True`, Приложение А), эти импульсы исчезают, и остаются только возможные наносекундные ложные срабатывания из-за разных задержек элементов (раздел 3.7.5). Такие импульсы триггер Шмитта (с RC-цепочкой) подавить может, а микросекундные – нет: они по сути являются «настоящими» промежуточными входными наборами. + +#figure( + table(columns: (6.2cm, 4.8cm, 5.0cm), align: center + horizon, + ..hdr[Параметр][Модель Micro-Cap][DSView (эксперимент)], + [Значения Y на 16 наборах], [совпадают с @tab:full], [#fill-in[]], + [Задержка выхода относительно входа], [25–29 нс (ТТЛ 7400)], [#fill-in[]], + [Ложные срабатывания при одновременной смене входов], [нет], [#fill-in[]], + [Ложные срабатывания при записи битов по очереди], [2 (на 200 и 600 мкс, ≈ 8 мкс)], [#fill-in[]], + [После включения 74HC14], [—], [#fill-in[]]), + caption: [Сравнение модели и эксперимента]) + +#par(first-line-indent: 0pt)[#fill-in[сравните: совпали ли значения Y с моделью, сколько ложных срабатываний и где, их длительность]] + +// ===================================================================== += 8 Вывод + +1. Для студента Бояров Данила по буквам имени и фамилии построена таблица истинности функции четырёх переменных (единицы на наборах 0000, 0100, 1001, 1110; нули на 0001, 0010, 0011, 1111), записана СДНФ. + +2. С помощью карт Карно с доопределением безразличных наборов функция минимизирована по единицам ($Y = overline(X_2) thin overline(X_1) + X_4 overline(X_2) + X_4 overline(X_1)$) и по нулям ($Y = (X_4 + overline(X_1))(X_4 + overline(X_2))(overline(X_2) + overline(X_1))$); функция не зависит от X3. Прямой перевод этих форм в базисы 2И-НЕ и 2ИЛИ-НЕ требует по 8 элементов, а скобочные формы – по 6 элементов; перебором подтверждено, что 6 – минимум. + +3. Моделирование в Micro-Cap подтвердило правильность варианта: схема СДНФ на идеальных примитивах и минимальные схемы на 7400 и 7402 дают на всех заданных наборах требуемые значения. У схем на реальных элементах выход запаздывает на 25–29 нс (7400) и 28–32 нс (7402), ложных срабатываний при одновременной смене входов в модели нет. Показано, что при последовательной записи битов микроконтроллером следует ожидать два ложных импульса. + +4. Экспериментальная часть: #fill-in[задержка одного инвертора 74HC04 при 3,3 В составила … нс, при 5 В – … нс; задержка растёт пропорционально числу инверторов и уменьшается с ростом напряжения питания; в DSView наблюдалось … ложных срабатываний, после включения триггера Шмитта …] + +// ===================================================================== +#pagebreak() += Приложение А. Программы для микроконтроллера + +Микроконтроллер – ESP32-C3 Super Mini с MicroPython. Используемые выводы выведены на разъём J1 платы (GPIO6, 7, 8, 9, 10, 20, 21). GPIO20 и GPIO21 заняты последовательным портом (консолью) и не используются. + +#par(first-line-indent: 0pt)[*А.1 Меандр 20 кГц (п. 3 порядка выполнения), файл main.py:*] + +#block(fill: luma(242), stroke: 0.5pt, inset: 6pt, width: 100%)[ +```python +# ЛР2601, п. 3 порядка выполнения: меандр 20 кГц на выводе микроконтроллера +# Плата: ESP32-C3 Super Mini, MicroPython. +# Сигнал снимается с GPIO6 (разъём J1, контакт 8) и подаётся на вход первого инвертора. +# +# Используется аппаратный ШИМ: частота выдерживается точно +# и не зависит от скорости интерпретатора Python. + +from machine import Pin, PWM + +OUT_PIN = 6 # номер GPIO, при необходимости поменять +FREQ = 20_000 # 20 кГц -> период 50 мкс + +pwm = PWM(Pin(OUT_PIN, Pin.OUT), freq=FREQ, duty_u16=32768) # скважность 50 % + +# Программа ничего больше не делает: ШИМ работает сам по себе. +# Остановить: pwm.deinit() + + +# --------------------------------------------------------------------------- +# Вариант только на классе Pin (как в Приложении 3 методички). +# Частота получится НЕ ровно 20 кГц: каждая команда Python на ESP32-C3 +# выполняется несколько микросекунд. Используйте, если преподаватель +# требует решение именно через Pin.on()/Pin.off(). +# +# from machine import Pin +# import time +# p = Pin(OUT_PIN, Pin.OUT) +# half = 25 # полпериода 25 мкс +# t = time.ticks_us() +# while True: +# p.on() +# t = time.ticks_add(t, half) +# while time.ticks_diff(t, time.ticks_us()) > 0: +# pass +# p.off() +# t = time.ticks_add(t, half) +# while time.ticks_diff(t, time.ticks_us()) > 0: +# pass +``` +] + +Используется аппаратный ШИМ: частота ровно 20 кГц и не зависит от скорости интерпретатора. Вариант через `Pin.on()`/`Pin.off()` приведён в комментарии – он даст частоту чуть ниже 20 кГц из-за времени выполнения команд Python. + +#par(first-line-indent: 0pt)[*А.2 Перебор таблицы истинности с частотой 10 кГц (п. 22), файл main.py:*] + +#block(fill: luma(242), stroke: 0.5pt, inset: 6pt, width: 100%)[ +```python +# ЛР2601, п. 22 порядка выполнения: перебор таблицы истинности 0000..1111 +# с частотой 10 кГц (новый входной набор каждые 100 мкс). +# Плата: ESP32-C3 Super Mini, MicroPython. +# +# Подключение (разъём J1): +# X1 (младший разряд) -> GPIO6 (J1, конт. 8) +# X2 -> GPIO7 (J1, конт. 7) +# X3 -> GPIO8 (J1, конт. 6) +# X4 (старший разряд) -> GPIO10 (J1, конт. 4) +# GPIO20/21 не используем: это UART, через него работает консоль MicroPython. + +from machine import Pin +import time + +PINS = [6, 7, 8, 10] # X1, X2, X3, X4 +STEP_US = 100 # 10 кГц -> 100 мкс на один набор + +x = [Pin(n, Pin.OUT, value=0) for n in PINS] + +SIMULTANEOUS = True # True - все 4 бита меняются одной записью в регистр + +# Регистр выходов GPIO ESP32-C3 (Technical Reference Manual, глава GPIO): +GPIO_OUT_REG = 0x60004004 +MASK = 0 +for n in PINS: + MASK |= 1 << n + + +def write_code(code): + if SIMULTANEOUS: + from machine import mem32 + v = mem32[GPIO_OUT_REG] & ~MASK + for i, n in enumerate(PINS): + if code >> i & 1: + v |= 1 << n + mem32[GPIO_OUT_REG] = v # все выводы переключаются одновременно + else: + for i, p in enumerate(x): # по очереди X1, X2, X3, X4 (как в Приложении 3) + p.value(code >> i & 1) + + +t = time.ticks_us() +code = 0 +while True: + write_code(code) + code = (code + 1) & 0x0F # 0000 -> 0001 -> ... -> 1111 -> 0000 + t = time.ticks_add(t, STEP_US) + while time.ticks_diff(t, time.ticks_us()) > 0: + pass +``` +] + +При `SIMULTANEOUS = True` все четыре бита меняются одной записью в регистр выходов GPIO (адрес по техническому руководству ESP32-C3), при `False` – по очереди через `Pin.value()`, как в Приложении 3 методички. Сравнение этих двух режимов в DSView наглядно показывает, откуда берутся ложные срабатывания (раздел 7). + +// ===================================================================== += Приложение Б. Памятка: как выполнить работу на стенде + +#par(first-line-indent: 0pt)[_Порядок соответствует пунктам методички._] + +#set par(first-line-indent: 0pt) ++ Получить у преподавателя плату, анализатор DSLogic, провода-перемычки и джамперы. ++ Запустить Visual Studio Code, открыть проект `/home/ros/Documents/DigitalLab`. ++ Создать в проекте файл main.py и вставить в него программу А.1 (меандр 20 кГц на GPIO6). ++ Подключить плату кабелем USB Type-C – USB Type-A к компьютеру, загрузить main.py на микроконтроллер (как именно – по инструктажу преподавателя, обычно кнопка Upload расширения MicroPython/Pymakr). Отключить плату. ++ Перемычками соединить последовательно 2 инвертора в секции «НЕ» (74HC04): выход 1-го → вход 2-го. ++ Джампер J3 поставить в положение 3,3 В (J3 выбирает, от чего питаются микросхемы: 5 В или 3,3 В). ++ Перемычкой соединить GPIO6 (J1) со входом первого инвертора. ++ Осциллограф: CH1 – на вход цепочки, CH2 – на выход, «крокодилы» щупов – на GND платы. ++ Подать питание на плату от блока питания USB Type-C. На осциллографе: синхронизация по CH1, по фронту; развёртка сначала 10 мкс/дел. (видно меандр 20 кГц), затем 10–20 нс/дел. (виден один фронт с задержкой). ++ Измерить задержку курсорами между точками 50 % амплитуды на CH1 и CH2 (или функцией Measure → Delay). Записать в @tab:delays, сохранить снимок экрана. ++ Переставить J3 на 5 В, повторить измерение. ++ Вернуть 3,3 В, собрать цепочку из 6 инверторов, повторить измерения при 3,3 В и 5 В. Вернуть 3,3 В. Отключить питание. ++ Записать в main.py программу А.2. Собрать на элементах 2И-НЕ схему @fig:nand-sch по @tab:wiring (две микросхемы 74HC00: инверторы X1, X2 и элементы A, C в первой, B и Y во второй). ++ Подключить GPIO6/7/8/10 к входам X1/X2/X3/X4, DSLogic: каналы 0–3 на X1–X4, канал 4 на выход Y, GND на GND. ++ Подключить плату к ПК, запустить программу. В DSView выставить частоту выборки 100 МГц или выше, длительность записи ≈ 2–5 мс, пороговое напряжение 1,6 В (для 3,3 В логики), нажать Start, сохранить диаграмму. ++ Повторить для вариантов других студентов бригады; выбрать вариант с наименьшим (но не нулевым) числом ложных срабатываний. ++ Включить после выхода схемы инвертирующий триггер Шмитта 74HC14 (при необходимости – с RC-цепочкой, раздел 6), зафиксировать в DSView, что ложное срабатывание исчезло. ++ Отключить плату от ПК и сдать преподавателю. + +_Если ложных срабатываний в режиме `SIMULTANEOUS = True` не видно, переключите `SIMULTANEOUS = False` – по прогнозу (@fig:mcu) появятся два ложных импульса по несколько микросекунд._ + +// ===================================================================== += Приложение В. Файлы, прилагаемые к отчёту + +- *MicroCap/LR2601\_1\_SDNF\_primitives.cir* – исходная функция (СДНФ) на примитивах (@fig:sdnf-sch, @fig:sdnf-tr); +- *MicroCap/LR2601\_2\_min\_7400\_NAND.cir* – минимальная функция на 7400 (@fig:nand-sch, @fig:nand-tr); +- *MicroCap/LR2601\_3\_min\_7402\_NOR.cir* – минимальная функция на 7402 (@fig:nor-sch, @fig:nor-tr); +- *MicroCap/LR2601\_4\_7400\_MCU\_seq.cir* – прогноз для стенда (последовательная запись битов, @fig:mcu); +- *micropython/main\_20kHz.py* – меандр 20 кГц; +- *micropython/main\_truth\_table.py* – перебор таблицы истинности 10 кГц. + +Файлы .cir открываются в Micro-Cap 12 (File → Open); анализ запускается через Analysis → Transient → Run (F2). \ No newline at end of file diff --git a/pages/title_page.typ b/pages/title_page.typ index 7d053cf..2c60879 100644 --- a/pages/title_page.typ +++ b/pages/title_page.typ @@ -32,13 +32,15 @@ #block[ #set align(left) - Выполнил: студент группы #group факультета #faculty #h(1fr) #student_name \ - Проверил: #teacher_grade #h(1fr) #teacher_name + Выполнил: студент группы #group факультета #faculty \ + #h(1fr) #student_name \ + Проверил: #teacher_grade \ + #h(1fr) #teacher_name ] #v(1fr) #block[ - Москва 2025г. + Москва 2026г. ] ] diff --git a/raw-data/лаба-по-схемачу/MicroCap/LR2601_1_SDNF_primitives.cir b/raw-data/лаба-по-схемачу/MicroCap/LR2601_1_SDNF_primitives.cir new file mode 100644 index 0000000..56bea58 --- /dev/null +++ b/raw-data/лаба-по-схемачу/MicroCap/LR2601_1_SDNF_primitives.cir @@ -0,0 +1,757 @@ +[Main] +FileType=CIR +Version=9.00 +Program=Micro-Cap +Screen=1280,1024 +MCAPVersion=9.0.1.0 +Key ID=208 332 945 +NLCnt=2 +TXCnt=2 + +[Circuit] +Window Placement=2,3, -1,-1, -8,-31, 0,0,1400,800 +Default Object=Color=#000080 +Default Object Font=Height=-15,FStyle=0,Color=#000080,Name=Arial +WinBackGround Color=#FFFFFF +Select Color=#FF0000 +Select Box Color=#000080 +Grid Text Color=Height=-15,FStyle=0,Color=#0000FF,Name=Arial +Component Color=#0000FF +Attribute Text=Height=-13,FStyle=0,Color=#008000,Name=Arial +Wire Color=#008000 +Bus Color=#008000 +Pin Connection=Height=-10,FStyle=0,Color=#FF0000,Name=Arial +Node Number=Height=-11,FStyle=0,Color=#FF00FF,Name=Arial +Digital 0 Color=#000000 +Digital 1 Color=#FF0000 +Digital X Color=#C0C0C0 +Digital Z Color=#808080 +SpiceType=AMBIGUOUS +Title_Block=False +Show Nodes=False +Show Voltages=False +Show Current=False +Show Power=False +Show Condition=False +Show Pin Connections=False +Show Cross=False +Show Attribute Text=True +Show Grid Text=True + +[Comp] +Name=Stim4 +Grid=2,2 + +[Attr] +ONV=4,28,PART,U1 +Style=8192 + +[Attr] +ONV=0,54,FORMAT,1111 + +[Attr] +ONV=0,68,COMMAND,SixteenCount + +[Attr] +ONV=0,82,I/O MODEL,IO_STD + +[Attr] +ONV=0,96,TIMESTEP,0 + +[Attr] +ONV=0,110,IO_LEVEL,0 + +[Attr] +ONV=0,124,POWER NODE,$G_DPWR + +[Attr] +ONV=0,138,GROUND NODE,$G_DGND + +[Comp] +Name=Inverter +Grid=26,7 + +[Attr] +ONV=14,-30,PART,U2 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Comp] +Name=Inverter +Grid=26,13 + +[Attr] +ONV=14,-30,PART,U3 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Comp] +Name=Inverter +Grid=26,19 + +[Attr] +ONV=14,-30,PART,U4 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Comp] +Name=Inverter +Grid=26,25 + +[Attr] +ONV=14,-30,PART,U5 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Comp] +Name=And4 +Grid=44,30 + +[Attr] +ONV=14,-20,PART,U6 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Comp] +Name=And4 +Grid=44,37 + +[Attr] +ONV=14,-20,PART,U7 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Comp] +Name=And4 +Grid=44,44 + +[Attr] +ONV=14,-20,PART,U8 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Comp] +Name=And4 +Grid=44,51 + +[Attr] +ONV=14,-20,PART,U9 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Comp] +Name=Or4 +Grid=56,40 + +[Attr] +ONV=14,-20,PART,U10 +Style=8192 + +[Attr] +ONV=0,54,TIMING MODEL,D0_GATE + +[Attr] +ONV=0,68,I/O MODEL,IO_STD + +[Attr] +ONV=0,82,MNTYMXDLY,0 + +[Attr] +ONV=0,96,IO_LEVEL,0 + +[Attr] +ONV=0,110,POWER NODE,$G_DPWR + +[Attr] +ONV=0,124,GROUND NODE,$G_DGND + +[Wire] +Grids=22,7,26,7 + +[Wire] +Grids=32,7,40,7 + +[Wire] +Grids=19,13,26,13 + +[Wire] +Grids=32,13,38,13 + +[Wire] +Grids=16,19,26,19 + +[Wire] +Grids=32,19,36,19 + +[Wire] +Grids=13,25,26,25 + +[Wire] +Grids=32,25,34,25 + +[Wire] +Grids=40,30,44,30 + +[Wire] +Grids=38,31,44,31 + +[Wire] +Grids=36,33,44,33 + +[Wire] +Grids=34,34,44,34 + +[Wire] +Grids=40,37,44,37 + +[Wire] +Grids=19,38,44,38 + +[Wire] +Grids=36,40,44,40 + +[Wire] +Grids=34,41,44,41 + +[Wire] +Grids=22,44,44,44 + +[Wire] +Grids=38,45,44,45 + +[Wire] +Grids=36,47,44,47 + +[Wire] +Grids=13,48,44,48 + +[Wire] +Grids=22,51,44,51 + +[Wire] +Grids=19,52,44,52 + +[Wire] +Grids=16,54,44,54 + +[Wire] +Grids=34,55,44,55 + +[Wire] +Grids=11,4,13,4 + +[Wire] +Grids=13,4,13,25 + +[Wire] +Grids=13,25,13,48 + +[Wire] +Grids=34,25,34,34 + +[Wire] +Grids=34,34,34,41 + +[Wire] +Grids=34,41,34,55 + +[Wire] +Grids=11,3,16,3 + +[Wire] +Grids=16,3,16,19 + +[Wire] +Grids=16,19,16,54 + +[Wire] +Grids=36,19,36,33 + +[Wire] +Grids=36,33,36,40 + +[Wire] +Grids=36,40,36,47 + +[Wire] +Grids=11,2,19,2 + +[Wire] +Grids=19,2,19,13 + +[Wire] +Grids=19,13,19,38 + +[Wire] +Grids=19,38,19,52 + +[Wire] +Grids=38,13,38,31 + +[Wire] +Grids=38,31,38,45 + +[Wire] +Grids=11,1,22,1 + +[Wire] +Grids=22,1,22,7 + +[Wire] +Grids=22,7,22,44 + +[Wire] +Grids=22,44,22,51 + +[Wire] +Grids=40,7,40,30 + +[Wire] +Grids=40,30,40,37 + +[Wire] +Grids=50,32,54,32 + +[Wire] +Grids=54,32,54,40 + +[Wire] +Grids=54,40,56,40 + +[Wire] +Grids=50,39,53,39 + +[Wire] +Grids=53,39,53,41 + +[Wire] +Grids=53,41,56,41 + +[Wire] +Grids=50,46,53,46 + +[Wire] +Grids=53,43,53,46 + +[Wire] +Grids=53,43,56,43 + +[Wire] +Grids=50,53,54,53 + +[Wire] +Grids=54,44,54,53 + +[Wire] +Grids=54,44,56,44 + +[Wire] +Grids=62,42,66,42 + +[Grid Text] +Text="NX4" +Grid=40,7 +CBorder=NONE + +[Grid Text] +Text="NX3" +Grid=38,13 +CBorder=NONE + +[Grid Text] +Text="NX2" +Grid=36,19 +CBorder=NONE + +[Grid Text] +Text="NX1" +Grid=34,25 +CBorder=NONE + +[Grid Text] +Text="X1" +Grid=13,4 +CBorder=NONE + +[Grid Text] +Text="X2" +Grid=16,3 +CBorder=NONE + +[Grid Text] +Text="X3" +Grid=19,2 +CBorder=NONE + +[Grid Text] +Text="X4" +Grid=22,1 +CBorder=NONE + +[Grid Text] +Text="OUT" +Grid=66,42 +CBorder=NONE + +[Grid Text] +Text="2601. . () D0_GATE" +Grid=2,59 +Height=-15 +FStyle=1 +Color=#000000 +CBorder=NONE + +[Grid Text] +Text="Y = ~X4~X3~X2~X1 + ~X4X3~X2~X1 + X4~X3~X2X1 + X4X3X2~X1" +Grid=2,61 +Height=-13 +FStyle=0 +Color=#000000 +CBorder=NONE + +[Schematic] +CurrentSection 0=0 +Scale=2 +PrinterScale=1 +GridUser=10 +ShapeGroups="Main","Euro","DeMorgan","Polarity","Electrolytic" + +[Section] +Index=0 +Name="Main" +Type=Main +Enable=True +CurrentPage 0=0 + +[Page] +Index=0 +Section=0 +Print=True +Enable=True +Name=Page 1 +Scale 0=2 +Grid=0,0 + +[Page] +Index=1 +Section=0 +Type=Text +Print=True +Enable=True +Name=Text + +[Page] +Index=2 +Section=0 +Type=Text +Print=False +Enable=True +Name=Models + +[Page] +Index=3 +Section=0 +Type=Info +Print=False +Enable=True +Name=Info + +[Text Area] +Section=0 +Page=1 +Font=Height=-15,FStyle=0,Color=#000000,Name=Courier New +Comment Color=#008000 +Background Color=#FFFFFF +Len=99 +.define SixteenCount ++0ns 0000 ++label=start ++100ns Incr By 0001 ++200ns goto start Until GE 1111 + +[Text Area] +Section=0 +Page=2 +Font=Height=-15,FStyle=0,Color=#000000,Name=Courier New +Comment Color=#008000 +Background Color=#FFFFFF +Len=0 + + +[Transient] +WinBackGround Color=#FFFFFF +Title +AutoTitle=Yes +Grid Color=#808080 +Grid Weight=1 +Grid Pattern=Dot +Graph Background=#FFFFFF +OperPoint=True +AutoScaleRanges=True +XAxisGrids=True +YAxisGrids=True +Number of Grids X=10 +Number of Grids Y=5 +Num Out Write=True +Num Out Write Values=True +Num Out Delimiter=32 + +[APage] +Analysis=Transient +Name="Main" + +[Limits] +Analysis=Transient +TRange=2u +TStep=0 +NPts=4001 +Temp=27 +StateVar=Zero +RunOption=Normal +Temperature Type=Linear +Accumulate Plots=False + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=1 +XExp=T +YExp=d(X4) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#0000FF +Text Color=#0000FF +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=2 +XExp=T +YExp=d(X3) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#FF0000 +Text Color=#FF0000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=3 +XExp=T +YExp=d(X2) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#008000 +Text Color=#008000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=4 +XExp=T +YExp=d(X1) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#FF00FF +Text Color=#FF00FF +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=5 +XExp=T +YExp=d(OUT) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#000000 +Text Color=#000000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[Pane] +Analysis=Transient + diff --git a/raw-data/лаба-по-схемачу/MicroCap/LR2601_2_min_7400_NAND.cir b/raw-data/лаба-по-схемачу/MicroCap/LR2601_2_min_7400_NAND.cir new file mode 100644 index 0000000..a511bb8 --- /dev/null +++ b/raw-data/лаба-по-схемачу/MicroCap/LR2601_2_min_7400_NAND.cir @@ -0,0 +1,702 @@ +[Main] +FileType=CIR +Version=9.00 +Program=Micro-Cap +Screen=1280,1024 +MCAPVersion=9.0.1.0 +Key ID=208 332 945 +NLCnt=2 +TXCnt=2 + +[Circuit] +Window Placement=2,3, -1,-1, -8,-31, 0,0,1400,800 +Default Object=Color=#000080 +Default Object Font=Height=-15,FStyle=0,Color=#000080,Name=Arial +WinBackGround Color=#FFFFFF +Select Color=#FF0000 +Select Box Color=#000080 +Grid Text Color=Height=-15,FStyle=0,Color=#0000FF,Name=Arial +Component Color=#0000FF +Attribute Text=Height=-13,FStyle=0,Color=#008000,Name=Arial +Wire Color=#008000 +Bus Color=#008000 +Pin Connection=Height=-10,FStyle=0,Color=#FF0000,Name=Arial +Node Number=Height=-11,FStyle=0,Color=#FF00FF,Name=Arial +Digital 0 Color=#000000 +Digital 1 Color=#FF0000 +Digital X Color=#C0C0C0 +Digital Z Color=#808080 +SpiceType=AMBIGUOUS +Title_Block=False +Show Nodes=False +Show Voltages=False +Show Current=False +Show Power=False +Show Condition=False +Show Pin Connections=False +Show Cross=False +Show Attribute Text=True +Show Grid Text=True + +[Comp] +Name=Stim4 +Grid=2,2 + +[Attr] +ONV=4,28,PART,U1 +Style=8192 + +[Attr] +ONV=0,54,FORMAT,1111 + +[Attr] +ONV=0,68,COMMAND,SixteenCount + +[Attr] +ONV=0,82,I/O MODEL,IO_STD + +[Attr] +ONV=0,96,TIMESTEP,0 + +[Attr] +ONV=0,110,IO_LEVEL,0 + +[Attr] +ONV=0,124,POWER NODE,$G_DPWR + +[Attr] +ONV=0,138,GROUND NODE,$G_DGND + +[Comp] +Name=7400 +Grid=24,8 + +[Attr] +ONV=14,-20,PART,X1 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=24,14 + +[Attr] +ONV=14,-20,PART,X2 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=24,20 + +[Attr] +ONV=14,-20,PART,X3 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=38,11 + +[Attr] +ONV=14,-20,PART,X4 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=38,25 + +[Attr] +ONV=14,-20,PART,X5 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=52,18 + +[Attr] +ONV=14,-20,PART,X6 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Wire] +Grids=11,2,12,2 + +[Wire] +Grids=11,1,18,1 + +[Wire] +Grids=18,1,18,25 + +[Wire] +Grids=11,3,16,3 + +[Wire] +Grids=16,3,16,14 + +[Wire] +Grids=16,14,16,22 + +[Wire] +Grids=11,4,14,4 + +[Wire] +Grids=14,4,14,8 + +[Wire] +Grids=14,8,14,20 + +[Wire] +Grids=14,8,22,8 + +[Wire] +Grids=22,8,24,8 + +[Wire] +Grids=22,8,22,10 + +[Wire] +Grids=22,10,24,10 + +[Wire] +Grids=16,14,22,14 + +[Wire] +Grids=22,14,24,14 + +[Wire] +Grids=22,14,22,16 + +[Wire] +Grids=22,16,24,16 + +[Wire] +Grids=14,20,24,20 + +[Wire] +Grids=16,22,24,22 + +[Wire] +Grids=30,9,34,9 + +[Wire] +Grids=34,9,34,11 + +[Wire] +Grids=34,11,38,11 + +[Wire] +Grids=30,15,34,15 + +[Wire] +Grids=34,13,34,15 + +[Wire] +Grids=34,13,38,13 + +[Wire] +Grids=18,25,38,25 + +[Wire] +Grids=30,21,34,21 + +[Wire] +Grids=34,21,34,27 + +[Wire] +Grids=34,27,38,27 + +[Wire] +Grids=44,12,48,12 + +[Wire] +Grids=48,12,48,18 + +[Wire] +Grids=48,18,52,18 + +[Wire] +Grids=44,26,48,26 + +[Wire] +Grids=48,20,48,26 + +[Wire] +Grids=48,20,52,20 + +[Wire] +Grids=58,19,62,19 + +[Grid Text] +Text="X3" +Grid=12,2 +CBorder=NONE + +[Grid Text] +Text="X4" +Grid=18,25 +CBorder=NONE + +[Grid Text] +Text="X2" +Grid=16,22 +CBorder=NONE + +[Grid Text] +Text="X1" +Grid=14,20 +CBorder=NONE + +[Grid Text] +Text="NX1" +Grid=34,9 +CBorder=NONE + +[Grid Text] +Text="NX2" +Grid=34,15 +CBorder=NONE + +[Grid Text] +Text="A" +Grid=34,21 +CBorder=NONE + +[Grid Text] +Text="C" +Grid=48,12 +CBorder=NONE + +[Grid Text] +Text="B" +Grid=48,26 +CBorder=NONE + +[Grid Text] +Text="OUT" +Grid=62,19 +CBorder=NONE + +[Grid Text] +Text="2601. . 2- (7400)" +Grid=2,32 +Height=-15 +FStyle=1 +Color=#000000 +CBorder=NONE + +[Grid Text] +Text="Y = NAND( NAND(X4, NAND(X1,X2)), NAND(~X1,~X2) )" +Grid=2,34 +Height=-13 +FStyle=0 +Color=#000000 +CBorder=NONE + +[Schematic] +CurrentSection 0=0 +Scale=2 +PrinterScale=1 +GridUser=10 +ShapeGroups="Main","Euro","DeMorgan","Polarity","Electrolytic" + +[Section] +Index=0 +Name="Main" +Type=Main +Enable=True +CurrentPage 0=0 + +[Page] +Index=0 +Section=0 +Print=True +Enable=True +Name=Page 1 +Scale 0=2 +Grid=0,0 + +[Page] +Index=1 +Section=0 +Type=Text +Print=True +Enable=True +Name=Text + +[Page] +Index=2 +Section=0 +Type=Text +Print=False +Enable=True +Name=Models + +[Page] +Index=3 +Section=0 +Type=Info +Print=False +Enable=True +Name=Info + +[Text Area] +Section=0 +Page=1 +Font=Height=-15,FStyle=0,Color=#000000,Name=Courier New +Comment Color=#008000 +Background Color=#FFFFFF +Len=99 +.define SixteenCount ++0ns 0000 ++label=start ++100ns Incr By 0001 ++200ns goto start Until GE 1111 + +[Text Area] +Section=0 +Page=2 +Font=Height=-15,FStyle=0,Color=#000000,Name=Courier New +Comment Color=#008000 +Background Color=#FFFFFF +Len=0 + + +[Transient] +WinBackGround Color=#FFFFFF +Title +AutoTitle=Yes +Grid Color=#808080 +Grid Weight=1 +Grid Pattern=Dot +Graph Background=#FFFFFF +OperPoint=True +AutoScaleRanges=True +XAxisGrids=True +YAxisGrids=True +Number of Grids X=10 +Number of Grids Y=5 +Num Out Write=True +Num Out Write Values=True +Num Out Delimiter=32 + +[APage] +Analysis=Transient +Name="Main" + +[Limits] +Analysis=Transient +TRange=2u +TStep=0 +NPts=4001 +Temp=27 +StateVar=Zero +RunOption=Normal +Temperature Type=Linear +Accumulate Plots=False + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=1 +XExp=T +YExp=d(X4) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#0000FF +Text Color=#0000FF +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=2 +XExp=T +YExp=d(X3) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#FF0000 +Text Color=#FF0000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=3 +XExp=T +YExp=d(X2) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#008000 +Text Color=#008000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=4 +XExp=T +YExp=d(X1) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#FF00FF +Text Color=#FF00FF +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=5 +XExp=T +YExp=d(OUT) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#000000 +Text Color=#000000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=6 +XExp=T +YExp=d(NX1) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#804000 +Text Color=#804000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=7 +XExp=T +YExp=d(NX2) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#008080 +Text Color=#008080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=8 +XExp=T +YExp=d(A) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#800080 +Text Color=#800080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=9 +XExp=T +YExp=d(B) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#808000 +Text Color=#808000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=10 +XExp=T +YExp=d(C) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#000080 +Text Color=#000080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[Pane] +Analysis=Transient + diff --git a/raw-data/лаба-по-схемачу/MicroCap/LR2601_3_min_7402_NOR.cir b/raw-data/лаба-по-схемачу/MicroCap/LR2601_3_min_7402_NOR.cir new file mode 100644 index 0000000..c2795ec --- /dev/null +++ b/raw-data/лаба-по-схемачу/MicroCap/LR2601_3_min_7402_NOR.cir @@ -0,0 +1,702 @@ +[Main] +FileType=CIR +Version=9.00 +Program=Micro-Cap +Screen=1280,1024 +MCAPVersion=9.0.1.0 +Key ID=208 332 945 +NLCnt=2 +TXCnt=2 + +[Circuit] +Window Placement=2,3, -1,-1, -8,-31, 0,0,1400,800 +Default Object=Color=#000080 +Default Object Font=Height=-15,FStyle=0,Color=#000080,Name=Arial +WinBackGround Color=#FFFFFF +Select Color=#FF0000 +Select Box Color=#000080 +Grid Text Color=Height=-15,FStyle=0,Color=#0000FF,Name=Arial +Component Color=#0000FF +Attribute Text=Height=-13,FStyle=0,Color=#008000,Name=Arial +Wire Color=#008000 +Bus Color=#008000 +Pin Connection=Height=-10,FStyle=0,Color=#FF0000,Name=Arial +Node Number=Height=-11,FStyle=0,Color=#FF00FF,Name=Arial +Digital 0 Color=#000000 +Digital 1 Color=#FF0000 +Digital X Color=#C0C0C0 +Digital Z Color=#808080 +SpiceType=AMBIGUOUS +Title_Block=False +Show Nodes=False +Show Voltages=False +Show Current=False +Show Power=False +Show Condition=False +Show Pin Connections=False +Show Cross=False +Show Attribute Text=True +Show Grid Text=True + +[Comp] +Name=Stim4 +Grid=2,2 + +[Attr] +ONV=4,28,PART,U1 +Style=8192 + +[Attr] +ONV=0,54,FORMAT,1111 + +[Attr] +ONV=0,68,COMMAND,SixteenCount + +[Attr] +ONV=0,82,I/O MODEL,IO_STD + +[Attr] +ONV=0,96,TIMESTEP,0 + +[Attr] +ONV=0,110,IO_LEVEL,0 + +[Attr] +ONV=0,124,POWER NODE,$G_DPWR + +[Attr] +ONV=0,138,GROUND NODE,$G_DGND + +[Comp] +Name=7402 +Grid=24,8 + +[Attr] +ONV=14,-20,PART,X1 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7402 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7402 +Grid=24,14 + +[Attr] +ONV=14,-20,PART,X2 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7402 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7402 +Grid=24,20 + +[Attr] +ONV=14,-20,PART,X3 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7402 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7402 +Grid=38,11 + +[Attr] +ONV=14,-20,PART,X4 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7402 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7402 +Grid=38,25 + +[Attr] +ONV=14,-20,PART,X5 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7402 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7402 +Grid=52,18 + +[Attr] +ONV=14,-20,PART,X6 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7402 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Wire] +Grids=11,2,12,2 + +[Wire] +Grids=11,1,18,1 + +[Wire] +Grids=18,1,18,25 + +[Wire] +Grids=11,3,16,3 + +[Wire] +Grids=16,3,16,14 + +[Wire] +Grids=16,14,16,22 + +[Wire] +Grids=11,4,14,4 + +[Wire] +Grids=14,4,14,8 + +[Wire] +Grids=14,8,14,20 + +[Wire] +Grids=14,8,22,8 + +[Wire] +Grids=22,8,24,8 + +[Wire] +Grids=22,8,22,10 + +[Wire] +Grids=22,10,24,10 + +[Wire] +Grids=16,14,22,14 + +[Wire] +Grids=22,14,24,14 + +[Wire] +Grids=22,14,22,16 + +[Wire] +Grids=22,16,24,16 + +[Wire] +Grids=14,20,24,20 + +[Wire] +Grids=16,22,24,22 + +[Wire] +Grids=30,9,34,9 + +[Wire] +Grids=34,9,34,11 + +[Wire] +Grids=34,11,38,11 + +[Wire] +Grids=30,15,34,15 + +[Wire] +Grids=34,13,34,15 + +[Wire] +Grids=34,13,38,13 + +[Wire] +Grids=18,25,38,25 + +[Wire] +Grids=30,21,34,21 + +[Wire] +Grids=34,21,34,27 + +[Wire] +Grids=34,27,38,27 + +[Wire] +Grids=44,12,48,12 + +[Wire] +Grids=48,12,48,18 + +[Wire] +Grids=48,18,52,18 + +[Wire] +Grids=44,26,48,26 + +[Wire] +Grids=48,20,48,26 + +[Wire] +Grids=48,20,52,20 + +[Wire] +Grids=58,19,62,19 + +[Grid Text] +Text="X3" +Grid=12,2 +CBorder=NONE + +[Grid Text] +Text="X4" +Grid=18,25 +CBorder=NONE + +[Grid Text] +Text="X2" +Grid=16,22 +CBorder=NONE + +[Grid Text] +Text="X1" +Grid=14,20 +CBorder=NONE + +[Grid Text] +Text="NX1" +Grid=34,9 +CBorder=NONE + +[Grid Text] +Text="NX2" +Grid=34,15 +CBorder=NONE + +[Grid Text] +Text="A" +Grid=34,21 +CBorder=NONE + +[Grid Text] +Text="C" +Grid=48,12 +CBorder=NONE + +[Grid Text] +Text="B" +Grid=48,26 +CBorder=NONE + +[Grid Text] +Text="OUT" +Grid=62,19 +CBorder=NONE + +[Grid Text] +Text="2601. . 2- (7402)" +Grid=2,32 +Height=-15 +FStyle=1 +Color=#000000 +CBorder=NONE + +[Grid Text] +Text="Y = NOR( NOR(X4, NOR(X1,X2)), NOR(~X1,~X2) )" +Grid=2,34 +Height=-13 +FStyle=0 +Color=#000000 +CBorder=NONE + +[Schematic] +CurrentSection 0=0 +Scale=2 +PrinterScale=1 +GridUser=10 +ShapeGroups="Main","Euro","DeMorgan","Polarity","Electrolytic" + +[Section] +Index=0 +Name="Main" +Type=Main +Enable=True +CurrentPage 0=0 + +[Page] +Index=0 +Section=0 +Print=True +Enable=True +Name=Page 1 +Scale 0=2 +Grid=0,0 + +[Page] +Index=1 +Section=0 +Type=Text +Print=True +Enable=True +Name=Text + +[Page] +Index=2 +Section=0 +Type=Text +Print=False +Enable=True +Name=Models + +[Page] +Index=3 +Section=0 +Type=Info +Print=False +Enable=True +Name=Info + +[Text Area] +Section=0 +Page=1 +Font=Height=-15,FStyle=0,Color=#000000,Name=Courier New +Comment Color=#008000 +Background Color=#FFFFFF +Len=99 +.define SixteenCount ++0ns 0000 ++label=start ++100ns Incr By 0001 ++200ns goto start Until GE 1111 + +[Text Area] +Section=0 +Page=2 +Font=Height=-15,FStyle=0,Color=#000000,Name=Courier New +Comment Color=#008000 +Background Color=#FFFFFF +Len=0 + + +[Transient] +WinBackGround Color=#FFFFFF +Title +AutoTitle=Yes +Grid Color=#808080 +Grid Weight=1 +Grid Pattern=Dot +Graph Background=#FFFFFF +OperPoint=True +AutoScaleRanges=True +XAxisGrids=True +YAxisGrids=True +Number of Grids X=10 +Number of Grids Y=5 +Num Out Write=True +Num Out Write Values=True +Num Out Delimiter=32 + +[APage] +Analysis=Transient +Name="Main" + +[Limits] +Analysis=Transient +TRange=2u +TStep=0 +NPts=4001 +Temp=27 +StateVar=Zero +RunOption=Normal +Temperature Type=Linear +Accumulate Plots=False + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=1 +XExp=T +YExp=d(X4) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#0000FF +Text Color=#0000FF +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=2 +XExp=T +YExp=d(X3) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#FF0000 +Text Color=#FF0000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=3 +XExp=T +YExp=d(X2) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#008000 +Text Color=#008000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=4 +XExp=T +YExp=d(X1) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#FF00FF +Text Color=#FF00FF +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=5 +XExp=T +YExp=d(OUT) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#000000 +Text Color=#000000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=6 +XExp=T +YExp=d(NX1) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#804000 +Text Color=#804000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=7 +XExp=T +YExp=d(NX2) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#008080 +Text Color=#008080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=8 +XExp=T +YExp=d(A) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#800080 +Text Color=#800080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=9 +XExp=T +YExp=d(B) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#808000 +Text Color=#808000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=10 +XExp=T +YExp=d(C) +XRng=2e-6,0,2e-7 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#000080 +Text Color=#000080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[Pane] +Analysis=Transient + diff --git a/raw-data/лаба-по-схемачу/MicroCap/LR2601_4_7400_MCU_seq.cir b/raw-data/лаба-по-схемачу/MicroCap/LR2601_4_7400_MCU_seq.cir new file mode 100644 index 0000000..3713b4b --- /dev/null +++ b/raw-data/лаба-по-схемачу/MicroCap/LR2601_4_7400_MCU_seq.cir @@ -0,0 +1,763 @@ +[Main] +FileType=CIR +Version=9.00 +Program=Micro-Cap +Screen=1280,1024 +MCAPVersion=9.0.1.0 +Key ID=208 332 945 +NLCnt=2 +TXCnt=2 + +[Circuit] +Window Placement=2,3, -1,-1, -8,-31, 0,0,1400,800 +Default Object=Color=#000080 +Default Object Font=Height=-15,FStyle=0,Color=#000080,Name=Arial +WinBackGround Color=#FFFFFF +Select Color=#FF0000 +Select Box Color=#000080 +Grid Text Color=Height=-15,FStyle=0,Color=#0000FF,Name=Arial +Component Color=#0000FF +Attribute Text=Height=-13,FStyle=0,Color=#008000,Name=Arial +Wire Color=#008000 +Bus Color=#008000 +Pin Connection=Height=-10,FStyle=0,Color=#FF0000,Name=Arial +Node Number=Height=-11,FStyle=0,Color=#FF00FF,Name=Arial +Digital 0 Color=#000000 +Digital 1 Color=#FF0000 +Digital X Color=#C0C0C0 +Digital Z Color=#808080 +SpiceType=AMBIGUOUS +Title_Block=False +Show Nodes=False +Show Voltages=False +Show Current=False +Show Power=False +Show Condition=False +Show Pin Connections=False +Show Cross=False +Show Attribute Text=True +Show Grid Text=True + +[Comp] +Name=Stim4 +Grid=2,2 + +[Attr] +ONV=4,28,PART,U1 +Style=8192 + +[Attr] +ONV=0,54,FORMAT,1111 + +[Attr] +ONV=0,68,COMMAND,MCU + +[Attr] +ONV=0,82,I/O MODEL,IO_STD + +[Attr] +ONV=0,96,TIMESTEP,0 + +[Attr] +ONV=0,110,IO_LEVEL,0 + +[Attr] +ONV=0,124,POWER NODE,$G_DPWR + +[Attr] +ONV=0,138,GROUND NODE,$G_DGND + +[Comp] +Name=7400 +Grid=24,8 + +[Attr] +ONV=14,-20,PART,X1 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=24,14 + +[Attr] +ONV=14,-20,PART,X2 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=24,20 + +[Attr] +ONV=14,-20,PART,X3 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=38,11 + +[Attr] +ONV=14,-20,PART,X4 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=38,25 + +[Attr] +ONV=14,-20,PART,X5 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Comp] +Name=7400 +Grid=52,18 + +[Attr] +ONV=14,-20,PART,X6 +Style=8192 + +[Attr] +ONV=34,-20,NAME,7400 +Style=8192 + +[Attr] +ONV=0,68,FILE, + +[Attr] +ONV=0,82,PARAMS:, + +[Attr] +ONV=0,96,TEXT:, + +[Attr] +ONV=0,110,PACKAGE,DIP14 + +[Wire] +Grids=11,2,12,2 + +[Wire] +Grids=11,1,18,1 + +[Wire] +Grids=18,1,18,25 + +[Wire] +Grids=11,3,16,3 + +[Wire] +Grids=16,3,16,14 + +[Wire] +Grids=16,14,16,22 + +[Wire] +Grids=11,4,14,4 + +[Wire] +Grids=14,4,14,8 + +[Wire] +Grids=14,8,14,20 + +[Wire] +Grids=14,8,22,8 + +[Wire] +Grids=22,8,24,8 + +[Wire] +Grids=22,8,22,10 + +[Wire] +Grids=22,10,24,10 + +[Wire] +Grids=16,14,22,14 + +[Wire] +Grids=22,14,24,14 + +[Wire] +Grids=22,14,22,16 + +[Wire] +Grids=22,16,24,16 + +[Wire] +Grids=14,20,24,20 + +[Wire] +Grids=16,22,24,22 + +[Wire] +Grids=30,9,34,9 + +[Wire] +Grids=34,9,34,11 + +[Wire] +Grids=34,11,38,11 + +[Wire] +Grids=30,15,34,15 + +[Wire] +Grids=34,13,34,15 + +[Wire] +Grids=34,13,38,13 + +[Wire] +Grids=18,25,38,25 + +[Wire] +Grids=30,21,34,21 + +[Wire] +Grids=34,21,34,27 + +[Wire] +Grids=34,27,38,27 + +[Wire] +Grids=44,12,48,12 + +[Wire] +Grids=48,12,48,18 + +[Wire] +Grids=48,18,52,18 + +[Wire] +Grids=44,26,48,26 + +[Wire] +Grids=48,20,48,26 + +[Wire] +Grids=48,20,52,20 + +[Wire] +Grids=58,19,62,19 + +[Grid Text] +Text="X3" +Grid=12,2 +CBorder=NONE + +[Grid Text] +Text="X4" +Grid=18,25 +CBorder=NONE + +[Grid Text] +Text="X2" +Grid=16,22 +CBorder=NONE + +[Grid Text] +Text="X1" +Grid=14,20 +CBorder=NONE + +[Grid Text] +Text="NX1" +Grid=34,9 +CBorder=NONE + +[Grid Text] +Text="NX2" +Grid=34,15 +CBorder=NONE + +[Grid Text] +Text="A" +Grid=34,21 +CBorder=NONE + +[Grid Text] +Text="C" +Grid=48,12 +CBorder=NONE + +[Grid Text] +Text="B" +Grid=48,26 +CBorder=NONE + +[Grid Text] +Text="OUT" +Grid=62,19 +CBorder=NONE + +[Grid Text] +Text="2601. : X1..X4 ( 8 ), 10 " +Grid=2,32 +Height=-15 +FStyle=1 +Color=#000000 +CBorder=NONE + +[Grid Text] +Text="Y = NAND( NAND(X4, NAND(X1,X2)), NAND(~X1,~X2) )" +Grid=2,34 +Height=-13 +FStyle=0 +Color=#000000 +CBorder=NONE + +[Schematic] +CurrentSection 0=0 +Scale=2 +PrinterScale=1 +GridUser=10 +ShapeGroups="Main","Euro","DeMorgan","Polarity","Electrolytic" + +[Section] +Index=0 +Name="Main" +Type=Main +Enable=True +CurrentPage 0=0 + +[Page] +Index=0 +Section=0 +Print=True +Enable=True +Name=Page 1 +Scale 0=2 +Grid=0,0 + +[Page] +Index=1 +Section=0 +Type=Text +Print=True +Enable=True +Name=Text + +[Page] +Index=2 +Section=0 +Type=Text +Print=False +Enable=True +Name=Models + +[Page] +Index=3 +Section=0 +Type=Info +Print=False +Enable=True +Name=Info + +[Text Area] +Section=0 +Page=1 +Font=Height=-15,FStyle=0,Color=#000000,Name=Courier New +Comment Color=#008000 +Background Color=#FFFFFF +Len=882 +.define MCU ++0us 0000 ++100us 0001 ++108us 0001 ++116us 0001 ++124us 0001 ++200us 0000 ++208us 0010 ++216us 0010 ++224us 0010 ++300us 0011 ++308us 0011 ++316us 0011 ++324us 0011 ++400us 0010 ++408us 0000 ++416us 0100 ++424us 0100 ++500us 0101 ++508us 0101 ++516us 0101 ++524us 0101 ++600us 0100 ++608us 0110 ++616us 0110 ++624us 0110 ++700us 0111 ++708us 0111 ++716us 0111 ++724us 0111 ++800us 0110 ++808us 0100 ++816us 0000 ++824us 1000 ++900us 1001 ++908us 1001 ++916us 1001 ++924us 1001 ++1000us 1000 ++1008us 1010 ++1016us 1010 ++1024us 1010 ++1100us 1011 ++1108us 1011 ++1116us 1011 ++1124us 1011 ++1200us 1010 ++1208us 1000 ++1216us 1100 ++1224us 1100 ++1300us 1101 ++1308us 1101 ++1316us 1101 ++1324us 1101 ++1400us 1100 ++1408us 1110 ++1416us 1110 ++1424us 1110 ++1500us 1111 ++1508us 1111 ++1516us 1111 ++1524us 1111 ++1600us 1110 ++1608us 1100 ++1616us 1000 ++1624us 0000 + +[Text Area] +Section=0 +Page=2 +Font=Height=-15,FStyle=0,Color=#000000,Name=Courier New +Comment Color=#008000 +Background Color=#FFFFFF +Len=0 + + +[Transient] +WinBackGround Color=#FFFFFF +Title +AutoTitle=Yes +Grid Color=#808080 +Grid Weight=1 +Grid Pattern=Dot +Graph Background=#FFFFFF +OperPoint=True +AutoScaleRanges=True +XAxisGrids=True +YAxisGrids=True +Number of Grids X=10 +Number of Grids Y=5 +Num Out Write=True +Num Out Write Values=True +Num Out Delimiter=32 + +[APage] +Analysis=Transient +Name="Main" + +[Limits] +Analysis=Transient +TRange=1.7m +TStep=0 +NPts=17001 +Temp=27 +StateVar=Zero +RunOption=Normal +Temperature Type=Linear +Accumulate Plots=False + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=1 +XExp=T +YExp=d(X4) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#0000FF +Text Color=#0000FF +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=2 +XExp=T +YExp=d(X3) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#FF0000 +Text Color=#FF0000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=3 +XExp=T +YExp=d(X2) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#008000 +Text Color=#008000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=4 +XExp=T +YExp=d(X1) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#FF00FF +Text Color=#FF00FF +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=5 +XExp=T +YExp=d(OUT) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#000000 +Text Color=#000000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=6 +XExp=T +YExp=d(NX1) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#804000 +Text Color=#804000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=7 +XExp=T +YExp=d(NX2) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#008080 +Text Color=#008080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=8 +XExp=T +YExp=d(A) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#800080 +Text Color=#800080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=9 +XExp=T +YExp=d(B) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#808000 +Text Color=#808000 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[WaveForm] +Analysis=Transient +Plt=1 +AliasID=10 +XExp=T +YExp=d(C) +XRng=1.7e-3,0,1e-4 +YRng=N/A +Options=OUTPUT,LINEARX,LINEARY +Line Color=#000080 +Text Color=#000080 +Rainbow=False +VFmtX=3 +VFmtY=3 +ScaleFactorX="None" +ScaleFactorY="None" +ScaleUnitsX="Auto" +ScaleUnitsY="Auto" +SFmtX=2 +SFmtY=2 + +[Pane] +Analysis=Transient + diff --git a/raw-data/лаба-по-схемачу/desktop.ini b/raw-data/лаба-по-схемачу/desktop.ini new file mode 100644 index 0000000..618fdff --- /dev/null +++ b/raw-data/лаба-по-схемачу/desktop.ini @@ -0,0 +1,2 @@ +[LocalizedFileNames] +2601.pdf=@2601.pdf,0 diff --git a/raw-data/лаба-по-схемачу/micropython/__pycache__/main_20kHz.cpython-311.pyc b/raw-data/лаба-по-схемачу/micropython/__pycache__/main_20kHz.cpython-311.pyc new file mode 100644 index 0000000000000000000000000000000000000000..b4da2228cf7e8d0dfd8951e186015d7530d38dff GIT binary patch literal 433 zcmZ3^%ge<81V7EUW?8T^FgylvV1NzE_#6RbOlL@8NMX!j$YqRT%w>vVVq{2RiegS- 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(как в Приложении 3 методички). +# Частота получится НЕ ровно 20 кГц: каждая команда Python на ESP32-C3 +# выполняется несколько микросекунд. Используйте, если преподаватель +# требует решение именно через Pin.on()/Pin.off(). +# +# from machine import Pin +# import time +# p = Pin(OUT_PIN, Pin.OUT) +# half = 25 # полпериода 25 мкс +# t = time.ticks_us() +# while True: +# p.on() +# t = time.ticks_add(t, half) +# while time.ticks_diff(t, time.ticks_us()) > 0: +# pass +# p.off() +# t = time.ticks_add(t, half) +# while time.ticks_diff(t, time.ticks_us()) > 0: +# pass diff --git a/raw-data/лаба-по-схемачу/micropython/main_truth_table.py b/raw-data/лаба-по-схемачу/micropython/main_truth_table.py new file mode 100644 index 0000000..86410ed --- /dev/null +++ b/raw-data/лаба-по-схемачу/micropython/main_truth_table.py @@ -0,0 +1,49 @@ +# ЛР2601, п. 22 порядка выполнения: перебор таблицы истинности 0000..1111 +# с частотой 10 кГц (новый входной набор каждые 100 мкс). +# Плата: ESP32-C3 Super Mini, MicroPython. +# +# Подключение (разъём J1): +# X1 (младший разряд) -> GPIO6 (J1, конт. 8) +# X2 -> GPIO7 (J1, конт. 7) +# X3 -> GPIO8 (J1, конт. 6) +# X4 (старший разряд) -> GPIO10 (J1, конт. 4) +# GPIO20/21 не используем: это UART, через него работает консоль MicroPython. + +from machine import Pin +import time + +PINS = [6, 7, 8, 10] # X1, X2, X3, X4 +STEP_US = 100 # 10 кГц -> 100 мкс на один набор + +x = [Pin(n, Pin.OUT, value=0) for n in PINS] + +SIMULTANEOUS = True # True - все 4 бита меняются одной записью в регистр + +# Регистр выходов GPIO ESP32-C3 (Technical Reference Manual, глава GPIO): +GPIO_OUT_REG = 0x60004004 +MASK = 0 +for n in PINS: + MASK |= 1 << n + + +def write_code(code): + if SIMULTANEOUS: + from machine import mem32 + v = mem32[GPIO_OUT_REG] & ~MASK + for i, n in enumerate(PINS): + if code >> i & 1: + v |= 1 << n + mem32[GPIO_OUT_REG] = v # все выводы переключаются одновременно + else: + for i, p in enumerate(x): # по очереди X1, X2, X3, X4 (как в Приложении 3) + p.value(code >> i & 1) + + +t = time.ticks_us() +code = 0 +while True: + write_code(code) + code = (code + 1) & 0x0F # 0000 -> 0001 -> ... -> 1111 -> 0000 + t = time.ticks_add(t, STEP_US) + while time.ticks_diff(t, time.ticks_us()) > 0: + pass diff --git a/raw-data/лаба-по-схемачу/notes.txt b/raw-data/лаба-по-схемачу/notes.txt new file mode 100644 index 0000000..0e64aed --- /dev/null +++ b/raw-data/лаба-по-схемачу/notes.txt @@ -0,0 +1 @@ +Студент: Бояров Данила \ No newline at end of file diff --git a/raw-data/лаба-по-схемачу/Отчёт_ЛР2601_Бояров.docx b/raw-data/лаба-по-схемачу/Отчёт_ЛР2601_Бояров.docx new file mode 100644 index 0000000000000000000000000000000000000000..5afce2850d85050db457773aebb57dbd85935a75 GIT binary patch literal 274893 zcmY(q1FR@b(*}5K+qP}nHtw{UxxY8FP zQQWe@Gpww;GIH>*lJQ=WZIkxOaPGV4d*xVMk!8_6+=U^qM%I*%%xNY-TK$?qc5T=| zJwln9KB*d?-=WlHVe(L|J!OE3s{`bLInz63k}F7zloZ~(l?Pb04)(+hzI!|HxGgZv zisCFZ%3)(z6%=%edsRw3lI%QIj+wcAeEy^oebvD^e!RlRzp zPQ{p%#8U?YKE@9W3EOVqAo8$Jy-vU&W1fuL6&JvGQa$-O?N}iK1bciR-oX`j9Dg>j z9^kykZN{J4l4bYJfC60!niNUx?uD2V#9!gP^Y-8AODi#AeEs{+O}TgeN7}G6pPWWt 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HcmV?d00001 diff --git a/raw-data/лаба-по-схемачу/Отчёт_ЛР2601_Бояров.typ b/raw-data/лаба-по-схемачу/Отчёт_ЛР2601_Бояров.typ new file mode 100644 index 0000000..c05c42a --- /dev/null +++ b/raw-data/лаба-по-схемачу/Отчёт_ЛР2601_Бояров.typ @@ -0,0 +1,4551 @@ +// ===================================================================== +// Отчёт по лабораторной работе № 2601 «Базовые логические элементы» +// Студент: Бояров Данила +// Один самодостаточный файл: изображения из Micro-Cap встроены ниже +// как массивы байтов PNG (в конце файла). Требуется Typst 0.13 или новее. +// ===================================================================== + +#set document(title: "ЛР2601. Базовые логические элементы", author: "Бояров Данила") +#set text(font: ("Times New Roman", "Liberation Serif", "Tinos"), size: 14pt, lang: "ru") +#set page(paper: "a4", margin: (left: 3cm, right: 1.5cm, top: 2cm, bottom: 2cm)) +#set par(justify: true, first-line-indent: (amount: 1.25cm, all: true), leading: 0.75em, spacing: 0.9em) +#set heading(numbering: none) +#show heading: set text(size: 14pt, weight: "bold") +#show heading.where(level: 1): set text(size: 16pt) +#show heading: it => block(above: 1.2em, below: 0.8em, sticky: true, it) +#show raw: set text(font: ("Consolas", "DejaVu Sans Mono", "Liberation Mono"), size: 9.5pt) +#show math.equation: set text(font: ("Cambria Math", "New Computer Modern Math")) + +#set figure(gap: 0.6em) +#show figure.where(kind: table): set figure.caption(position: top) +#show figure.caption: it => { + set text(size: 12pt) + set par(first-line-indent: 0pt) + if it.kind == table { align(left, it) } else { it } +} +#set figure.caption(separator: [ – ]) +#show figure: set block(breakable: true) +#set table(stroke: 0.5pt, inset: (x: 5pt, y: 4pt)) +#show table: set text(size: 12pt) +#show table: set par(justify: false, first-line-indent: 0pt) + +// ---------- вспомогательные функции ---------- +#let fill-in(body) = highlight(fill: rgb("#FFF200"), text(style: "italic")[\[#body\]]) +#let hdr(..cells) = cells.pos().map(c => table.cell(fill: luma(217), strong(c))) +#let one = rgb("#C6EFCE") +#let zero = rgb("#FFD7D7") +#let nx(n) = $overline(X_#n)$ + +// версия-независимая загрузка встроенной картинки +#let embedded(data, width: 100%) = { + let b = bytes(data) + if sys.version >= version(0, 13, 0) { image(b, width: width) } else { image.decode(b, width: width) } +} + +#let placeholder(what) = block(width: 100%, height: 5cm, stroke: 0.6pt, inset: 8pt, + align(center + horizon, fill-in[Вставьте сюда #what])) + +// Всё содержимое отчёта оформлено как функция: данные изображений (массивы +// байтов PNG) находятся в самом конце файла, а Typst требует объявлять +// переменные до использования. +#let report(img) = [ + +// ===================================================================== +// ТИТУЛЬНЫЙ ЛИСТ +// ===================================================================== +#page(numbering: none)[ + #set par(first-line-indent: 0pt, justify: false) + #set align(center) + #text(size: 13pt)[ + МИНИСТЕРСТВО ЦИФРОВОГО РАЗВИТИЯ, СВЯЗИ И МАССОВЫХ КОММУНИКАЦИЙ РОССИЙСКОЙ ФЕДЕРАЦИИ \ + Ордена Трудового Красного Знамени федеральное государственное бюджетное образовательное учреждение высшего образования \ + «Московский технический университет связи и информатики» + ] + #v(1.2em) + Кафедра радиооборудования и схемотехники + #v(1fr) + #text(size: 20pt, weight: "bold")[ОТЧЁТ] \ + #v(0.3em) + #text(size: 16pt)[по лабораторной работе № 2601] \ + #v(0.3em) + #text(size: 16pt, weight: "bold")[«БАЗОВЫЕ ЛОГИЧЕСКИЕ ЭЛЕМЕНТЫ»] \ + #v(0.3em) + по дисциплине «Цифровая схемотехника» + #v(1fr) + #align(right)[ + Выполнил: студент группы #box(width: 2.5cm, height: 0.9em, fill: rgb("#FFF200")) \ + Бояров Данила \ + #v(0.5em) + Проверил: #box(width: 4cm, height: 0.9em, fill: rgb("#FFF200")) + ] + #v(1fr) + Москва 2026 +] + +#set page(numbering: "1", number-align: center) +#counter(page).update(2) + +// ===================================================================== +#outline(title: [Содержание], depth: 1, indent: 0pt) + +#par(first-line-indent: 0pt)[#fill-in[Жёлтым маркером отмечены места, которые заполняются по результатам работы на стенде (измерения, осциллограммы, снимки DSView), а также номер группы и ФИО преподавателя]] + +#pagebreak() + +// ===================================================================== += 1 Цель работы + +Ознакомиться с базовыми логическими элементами, реализующими логические операции НЕ, И-НЕ, ИЛИ-НЕ, и их особенностями на примере микросхем серии 74HC: научиться по таблице истинности строить и минимизировать логическую функцию, реализовывать её в базисах 2И-НЕ и 2ИЛИ-НЕ, моделировать схему в Micro-Cap, измерять задержку распространения сигнала и наблюдать ложные срабатывания (состязания сигналов). + +// ===================================================================== += 2 Краткие теоретические сведения + +Логический элемент – схема, выходной сигнал которой (0 или 1) определяется логической функцией от входных сигналов. В работе используются микросхемы серии 74HC (КМОП): 74HC04 – шесть инверторов (НЕ), 74HC00 – четыре элемента 2И-НЕ, 74HC02 – четыре элемента 2ИЛИ-НЕ, 74HC14 – шесть инверторов с триггером Шмитта. + +#figure( + table(columns: (2cm, 2cm, 3cm, 3.5cm, 3.5cm), align: center, + ..hdr[A][B][НЕ A][A И-НЕ B][A ИЛИ-НЕ B], + [0], [0], [1], [1], [1], + [0], [1], [1], [1], [0], + [1], [0], [0], [1], [0], + [1], [1], [0], [0], [0]), + caption: [Базовые логические элементы]) + +Элементы И-НЕ и ИЛИ-НЕ называют универсальными: из элементов одного такого типа можно построить любую логическую функцию. Инвертор получают, соединив оба входа элемента вместе: И-НЕ(A, A) = ИЛИ-НЕ(A, A) = $overline(A)$. + +Для перевода выражения в базис И-НЕ или ИЛИ-НЕ используют правила де Моргана: +$ overline(A dot B) = overline(A) + overline(B), quad quad overline(A + B) = overline(A) dot overline(B). $ + +Минимизация функции выполняется с помощью карты Карно – таблицы, в которой соседние клетки отличаются значением только одной переменной (строки и столбцы нумеруются кодом Грея 00, 01, 11, 10). Соседние единицы (или нули) объединяются в прямоугольные группы по 2, 4, 8 клеток; переменные, которые внутри группы меняются, из соответствующего слагаемого исчезают. Клетки, значение которых по условию не задано («безразличные», обозначены «–»), можно доопределять нулём или единицей так, как удобнее для укрупнения групп. + +Задержка распространения $t_"pd"$ – время между изменением входного сигнала и соответствующим изменением выходного (измеряется по уровню 50 %). Для 74HC она зависит от напряжения питания: чем оно ниже, тем медленнее переключается элемент. При последовательном включении $N$ элементов задержки складываются. + +Ложное срабатывание (риск сбоя, «глитч») – короткий импульс на выходе комбинационной схемы, которого не должно быть по таблице истинности. Он возникает, когда при смене входного набора сигналы приходят на входы элемента разными путями с разной задержкой (состязания, гонки сигналов), или когда входные сигналы сами меняются не одновременно. Триггер Шмитта – элемент с гистерезисом: у него разные пороги переключения при нарастании ($V_(T+)$) и спаде ($V_(T-)$) входного напряжения, поэтому короткие «недоросшие» импульсы и шум на медленных фронтах он не пропускает. + +// ===================================================================== += 3 Модель индивидуального варианта + +== 3.1 Формирование индивидуального варианта + +Студент: Бояров Данила. Первые четыре буквы имени: Д, А, Н, И – им соответствует значение $Y = 1$. Первые четыре буквы фамилии: Б, О, Я, Р – им соответствует $Y = 0$. + +Номер буквы берётся по алфавиту, номер строки таблицы – как остаток от деления номера буквы на 16. Нумерация выполнена так же, как в примере методички (Пётр Иванов: П = 1, Е = 6, Т = 4, Р = 2, И = 10, В = 3, А = 1, Н = 15). Этот пример получается только при нумерации по полному алфавиту из 33 букв (А = 1, …, Е = 6, Ё = 7, Ж = 8, …, И = 10, …, Я = 33), а указание «удалить букву ё» относится к самим имени и фамилии (Пётр → Петр). Строки таблицы нумеруются с единицы: номер 1 – строка 0000, номер 2 – строка 0001, …, номер 16 (остаток 0) – строка 1111. При совпадении номеров (коллизии) занимается следующая свободная строка. Сначала расставляются буквы имени, затем фамилии. + +#figure( + table(columns: (1.6cm, 2.4cm, 2.8cm, 2.6cm, 4.4cm, 1.2cm), align: center + horizon, + ..hdr[Буква][Номер в алфавите][Остаток от деления на 16][Строка по номеру][Занятая строка (X4X3X2X1)][Y], + [Д], [5], [5], [5], [5 (0100)], [1], + [А], [1], [1], [1], [1 (0000)], [1], + [Н], [15], [15], [15], [15 (1110)], [1], + [И], [10], [10], [10], [10 (1001)], [1], + [Б], [2], [2], [2], [2 (0001)], [0], + [О], [16], [0], [16], [16 (1111)], [0], + [Я], [33], [1], [1 – занята], [1, 2 заняты → 3 (0010)], [0], + [Р], [18], [2], [2 – занята], [2, 3 заняты → 4 (0011)], [0]), + caption: [Определение строк таблицы истинности]) + +== 3.2 Таблица истинности + +#figure( + table(columns: (1.2cm, 1.5cm, 1.5cm, 1.5cm, 1.5cm, 1.5cm, 1.8cm), align: center, + ..hdr[№][X4][X3][X2][X1][Y][Буква], + [1], [0], [0], [0], [0], table.cell(fill: one)[1], [А], + [2], [0], [0], [0], [1], table.cell(fill: zero)[0], [Б], + [3], [0], [0], [1], [0], table.cell(fill: zero)[0], [Я], + [4], [0], [0], [1], [1], table.cell(fill: zero)[0], [Р], + [5], [0], [1], [0], [0], table.cell(fill: one)[1], [Д], + [6], [0], [1], [0], [1], [–], [], + [7], [0], [1], [1], [0], [–], [], + [8], [0], [1], [1], [1], [–], [], + [9], [1], [0], [0], [0], [–], [], + [10], [1], [0], [0], [1], table.cell(fill: one)[1], [И], + [11], [1], [0], [1], [0], [–], [], + [12], [1], [0], [1], [1], [–], [], + [13], [1], [1], [0], [0], [–], [], + [14], [1], [1], [0], [1], [–], [], + [15], [1], [1], [1], [0], table.cell(fill: one)[1], [Н], + [16], [1], [1], [1], [1], table.cell(fill: zero)[0], [О], + ), + caption: [Таблица истинности индивидуального варианта («–» – значение не задано)]) + +X4 – старший разряд, X1 – младший, т. е. набор X4X3X2X1 – это двоичная запись числа (номер строки минус 1). + +== 3.3 Логическое выражение (СДНФ) + +Функция равна единице на четырёх наборах: 0000, 0100, 1001, 1110. Для каждого такого набора записывается произведение всех переменных, причём переменная, равная в наборе нулю, берётся с инверсией. Сумма этих произведений – совершенная дизъюнктивная нормальная форма (СДНФ): +$ Y = overline(X_4) thin overline(X_3) thin overline(X_2) thin overline(X_1) + overline(X_4) X_3 overline(X_2) thin overline(X_1) + X_4 overline(X_3) thin overline(X_2) X_1 + X_4 X_3 X_2 overline(X_1). $ + +== 3.4 Минимизация по единицам (карта Карно) + +Строки карты – X2X1, столбцы – X4X3, порядок в коде Грея (00, 01, 11, 10), поэтому любые две соседние клетки, в том числе крайние (карта «сворачивается» в тор), отличаются одной переменной. Замечание: в примере методички строки и столбцы записаны в порядке 00, 01, 10, 11 – группы там объединены правильно по смыслу, но визуально соседние клетки не всегда являются логически соседними, поэтому здесь использован стандартный порядок кода Грея. + +#figure( + table(columns: (3.4cm, 2.4cm, 2.4cm, 2.4cm, 2.4cm), align: center, + ..hdr[X2X1 \\ X4X3][00][01][11][10], + [00], table.cell(fill: one)[1], table.cell(fill: one)[1], [–], [–], + [01], table.cell(fill: zero)[0], [–], [–], table.cell(fill: one)[1], + [11], table.cell(fill: zero)[0], [–], table.cell(fill: zero)[0], [–], + [10], table.cell(fill: zero)[0], [–], table.cell(fill: one)[1], [–], + ), + caption: [Карта Карно исходной функции]) + +Безразличные клетки доопределяются единицами там, где это позволяет укрупнить группы, при этом ни одна группа не должна захватить заданный нуль (клетки 0001, 0010, 0011, 1111). Получаются три группы по 4 клетки: + +#figure( + table(columns: (3.4cm, 2.4cm, 2.4cm, 2.4cm, 2.4cm), align: center, + ..hdr[X2X1 \\ X4X3][00][01][11][10], + [00], table.cell(fill: one)[1], table.cell(fill: one)[1], table.cell(fill: one)[1\*], table.cell(fill: one)[1\*], + [01], [0], [0\*], table.cell(fill: one)[1\*], table.cell(fill: one)[1], + [11], [0], [0\*], [0], [0\*], + [10], [0], [0\*], table.cell(fill: one)[1], table.cell(fill: one)[1\*], + ), + caption: [Карта Карно после доопределения (оптимизация по единицам; добавленные единицы отмечены «1\*»)]) + +#figure( + table(columns: (1.8cm, 5.2cm, 4.4cm, 3.6cm), align: center + horizon, + ..hdr[Группа][Клетки (X4X3X2X1)][Что не меняется][Слагаемое], + [1], [0000, 0100, 1100, 1000], [X2 = 0, X1 = 0], [$overline(X_2) thin overline(X_1)$], + [2], [1000, 1001, 1100, 1101], [X4 = 1, X2 = 0], [$X_4 overline(X_2)$], + [3], [1000, 1010, 1100, 1110], [X4 = 1, X1 = 0], [$X_4 overline(X_1)$]), + caption: [Группы единиц]) + +Группа 1 покрывает единицы 0000 и 0100, группа 2 – единицу 1001, группа 3 – единицу 1110. Минимальная дизъюнктивная нормальная форма (МДНФ): +$ Y = overline(X_2) thin overline(X_1) + X_4 overline(X_2) + X_4 overline(X_1). $ + +Переменная X3 из функции исчезла: при выбранном доопределении выход от X3 не зависит. Меньше трёх слагаемых получить нельзя: единицы 1001 и 1110 отличаются тремя разрядами, и единственная группа, содержащая обе клетки ($X_4 = 1$, 8 клеток), захватывает заданный нуль 1111. + +== 3.5 Минимизация по нулям + +Аналогично объединяются нули; безразличные клетки доопределяются так же (иначе функции по единицам и по нулям не совпадали бы). Каждая группа нулей даёт сомножитель-сумму, в которой переменная, равная в группе единице, берётся с инверсией: + +#figure( + table(columns: (3.4cm, 2.4cm, 2.4cm, 2.4cm, 2.4cm), align: center, + ..hdr[X2X1 \\ X4X3][00][01][11][10], + [00], [1], [1], [1\*], [1\*], + [01], table.cell(fill: zero)[0], table.cell(fill: zero)[0\*], [1\*], [1], + [11], table.cell(fill: zero)[0], table.cell(fill: zero)[0\*], table.cell(fill: zero)[0], table.cell(fill: zero)[0\*], + [10], table.cell(fill: zero)[0], table.cell(fill: zero)[0\*], [1], [1\*], + ), + caption: [Карта Карно, оптимизация по нулям (добавленные нули отмечены «0\*»)]) + +#figure( + table(columns: (1.8cm, 5.2cm, 4.4cm, 3.6cm), align: center + horizon, + ..hdr[Группа][Клетки (X4X3X2X1)][Что не меняется][Сомножитель], + [1], [0001, 0011, 0101, 0111], [X4 = 0, X1 = 1], [$(X_4 + overline(X_1))$], + [2], [0010, 0011, 0110, 0111], [X4 = 0, X2 = 1], [$(X_4 + overline(X_2))$], + [3], [0011, 0111, 1011, 1111], [X2 = 1, X1 = 1], [$(overline(X_2) + overline(X_1))$]), + caption: [Группы нулей]) + +$ Y = (X_4 + overline(X_1)) (X_4 + overline(X_2)) (overline(X_2) + overline(X_1)). $ + +Проверка: раскрыв скобки, получаем то же выражение, что и в п. 3.4. Функция является функцией «большинства» (мажоритарной) от трёх сигналов $X_4$, $overline(X_1)$, $overline(X_2)$: $Y = 1$, когда хотя бы два из них равны единице. + +== 3.6 Перевод в базисы 2И-НЕ и 2ИЛИ-НЕ + +Доступны только двухвходовые элементы И-НЕ (74HC00) и ИЛИ-НЕ (74HC02); обычные И и ИЛИ недоступны, инверторы делаются из тех же элементов с объединёнными входами. Ниже для краткости используется функциональная запись: И-НЕ(a, b) = $overline(a dot b)$, ИЛИ-НЕ(a, b) = $overline(a + b)$. + ++ МДНФ в базисе 2И-НЕ (двойная инверсия и правило де Моргана): + $ Y = overline(overline(overline(X_2) thin overline(X_1)) dot overline(X_4 overline(X_2)) dot overline(X_4 overline(X_1))) = "И-НЕ"_3 ("И-НЕ"(overline(X_2), overline(X_1)), "И-НЕ"(X_4, overline(X_2)), "И-НЕ"(X_4, overline(X_1))). $ + Трёхвходовое И-НЕ из двухвходовых требует ещё трёх элементов, итого: 2 инвертора + 3 + 3 = 8 элементов. ++ МДНФ в базисе 2ИЛИ-НЕ: каждое произведение превращается в ИЛИ-НЕ от инверсий ($X_4 overline(X_2)$ = ИЛИ-НЕ($overline(X_4)$, $X_2$) и т. д.), затем нужна сумма трёх слагаемых – итого 8 элементов. ++ МКНФ в базисе 2ИЛИ-НЕ: $Y$ = ИЛИ-НЕ#sub[3]\(ИЛИ-НЕ($X_4$, $overline(X_1)$), ИЛИ-НЕ($X_4$, $overline(X_2)$), ИЛИ-НЕ($overline(X_2)$, $overline(X_1)$)) – 8 элементов. ++ МКНФ в базисе 2И-НЕ: сомножители $X_4 + overline(X_1)$ = И-НЕ($overline(X_4)$, $X_1$) и т. д., затем И трёх сомножителей – 8 элементов. + +Число элементов можно уменьшить, если вынести общий множитель за скобки (скобочная форма): +$ Y = X_4 (overline(X_1) + overline(X_2)) + overline(X_1) thin overline(X_2) = X_4 overline(X_1 X_2) + overline(X_1) thin overline(X_2), $ +$ Y = (X_4 + overline(X_1) thin overline(X_2)) (overline(X_1) + overline(X_2)). $ + +Отсюда по правилам де Моргана: +$ Y = "И-НЕ"("И-НЕ"(X_4, "И-НЕ"(X_1, X_2)), "И-НЕ"(overline(X_1), overline(X_2))), quad overline(X_i) = "И-НЕ"(X_i, X_i); $ +$ Y = "ИЛИ-НЕ"("ИЛИ-НЕ"(X_4, "ИЛИ-НЕ"(X_1, X_2)), "ИЛИ-НЕ"(overline(X_1), overline(X_2))), quad overline(X_i) = "ИЛИ-НЕ"(X_i, X_i). $ + +Проверка второй формулы: ИЛИ-НЕ($X_1$, $X_2$) = $overline(X_1) thin overline(X_2)$; ИЛИ-НЕ($X_4$, $overline(X_1) thin overline(X_2)$) = $overline(X_4 + overline(X_1) thin overline(X_2))$; ИЛИ-НЕ($overline(X_1)$, $overline(X_2)$) = $X_1 X_2 = overline(overline(X_1) + overline(X_2))$; внешнее ИЛИ-НЕ двух инверсий даёт произведение $(X_4 + overline(X_1) thin overline(X_2))(overline(X_1) + overline(X_2)) = Y$. + +#figure( + table(columns: (4.2cm, 3.4cm, 3.4cm, 2.4cm, 2.6cm), align: center + horizon, + ..hdr[Вариант][Базис][Число 2-входовых элементов][Число микросхем][Ступеней в пути], + [МДНФ, «в лоб»], [2И-НЕ], [8], [2], [4], + [МДНФ, «в лоб»], [2ИЛИ-НЕ], [8], [2], [5], + [МКНФ, «в лоб»], [2ИЛИ-НЕ], [8], [2], [4], + [МКНФ, «в лоб»], [2И-НЕ], [8], [2], [5], + [Скобочная форма], [2И-НЕ (7400)], table.cell(fill: one)[6], [2], [3], + [Скобочная форма], [2ИЛИ-НЕ (7402)], table.cell(fill: one)[6], [2], [3]), + caption: [Сравнение вариантов реализации]) + +Наименьшее число действий – 6 элементов – дают скобочные формы, причём в обоих базисах одинаково. То, что меньше шести двухвходовых элементов не бывает, дополнительно проверено полным перебором всех схем из 1…5 элементов И-НЕ (и отдельно ИЛИ-НЕ) на компьютере: ни одна не реализует функцию. Обе схемы имеют одинаковую структуру (@fig:nand-sch и @fig:nor-sch), поэтому промоделированы обе; на стенде можно собрать любую, основной выбрана схема на 2И-НЕ. + +#figure( + table(columns: (2.3cm,) + (1.4cm,) * 8, align: center, + ..hdr[X4X3X2X1][0000][0001][0010][0011][0100][0101][0110][0111], + [*Y*], [1], [0], [0], [0], [1], [0], [0], [0], + ..hdr[X4X3X2X1][1000][1001][1010][1011][1100][1101][1110][1111], + [*Y*], [1], [1], [1], [0], [1], [1], [1], [0], + ), + caption: [Полная таблица реализованной функции (с учётом доопределения)]) + +== 3.7 Моделирование в Micro-Cap 12 + +=== 3.7.1 Генератор входных сигналов + +На схему помещается генератор Stim4 (Component → Digital Primitives → Stimulus Generators → Stim4). Его выходы подключены так: Out3 → X4 (старший разряд), Out2 → X3, Out1 → X2, Out0 → X1. Атрибут COMMAND = SixteenCount, FORMAT = 1111 (двоичные значения), а на странице Text схемы записана команда из методички: + +``` +.define SixteenCount ++0ns 0000 ++label=start ++100ns Incr By 0001 ++200ns goto start Until GE 1111 +``` + +Генератор перебирает наборы 0000 → 1111, каждый держится 100 нс; после 1,5 мкс остаётся 1111. Анализ Transient: Maximum Run Time = 2u, графики d(X4), d(X3), d(X2), d(X1), d(OUT). Number of Points = 4001 (шаг вывода 0,5 нс) – увеличено по сравнению с методичкой, чтобы по числовому выводу точно измерить задержки; на вид графиков это не влияет. + +=== 3.7.2 Исходная функция (СДНФ) на цифровых примитивах + +Схема собрана из примитивов Inverter, And4, Or4 (модель задержки D0\_GATE – идеальные элементы без задержки): четыре инвертора формируют $overline(X_4)$, $overline(X_3)$, $overline(X_2)$, $overline(X_1)$, четыре элемента 4И реализуют четыре произведения СДНФ, элемент 4ИЛИ их складывает. + +#figure(embedded(img.sdnf_sch, width: 14.5cm), caption: [Схема исходной функции (СДНФ) в Micro-Cap]) + +#figure(embedded(img.sdnf_tr, width: 100%), caption: [Временные диаграммы схемы СДНФ (шаг набора 100 нс)]) + +Выход OUT равен единице на интервалах 0–100 нс (набор 0000), 400–500 нс (0100), 900–1000 нс (1001), 1400–1500 нс (1110) и нулю на всех остальных. Это в точности совпадает с таблицей истинности (@tab:truth): все заданные единицы и нули на месте, индивидуальный вариант построен верно. Задержек нет, так как примитивы с моделью D0\_GATE идеальные. + +=== 3.7.3 Минимальная функция на элементах 7400 (2И-НЕ) + +Схема собрана из моделей реальных микросхем (Component → Digital Library → 74xx00 → 00 → 7400). В Micro-Cap каждый символ 7400 – это один элемент 2И-НЕ из четырёх, имеющихся в корпусе. Элементы X1, X2 – инверторы (входы объединены), X3 = И-НЕ($X_1$, $X_2$) = A, X4 = И-НЕ($overline(X_1)$, $overline(X_2)$) = C, X5 = И-НЕ($X_4$, A) = B, X6 = И-НЕ(C, B) = OUT. Для наглядности на диаграмму выведены и промежуточные сигналы. + +#figure(embedded(img.nand_sch, width: 14.5cm), caption: [Схема минимальной функции в базисе 2И-НЕ (7400)]) + +#figure(embedded(img.nand_tr, width: 100%), caption: [Временные диаграммы схемы на 7400]) + +=== 3.7.4 Минимальная функция на элементах 7402 (2ИЛИ-НЕ) + +Та же структура, но все элементы – 2ИЛИ-НЕ (Digital Library → 74xx00 → 02 → 7402). + +#figure(embedded(img.nor_sch, width: 14.5cm), caption: [Схема минимальной функции в базисе 2ИЛИ-НЕ (7402)]) + +#figure(embedded(img.nor_tr, width: 100%), caption: [Временные диаграммы схемы на 7402]) + +=== 3.7.5 Анализ результатов моделирования + +Значения выхода схем на 7400 и 7402 проверены по числовому выводу Micro-Cap (файл .TNO) в конце каждого 100-наносекундного интервала: на всех 16 наборах они совпадают с полной таблицей реализованной функции (@tab:full), в том числе на всех восьми заданных клетках варианта. Значит, минимизация выполнена верно. + +#figure( + table(columns: (5.4cm, 3.6cm, 3.6cm, 3.4cm), align: center + horizon, + ..hdr[Схема][Задержка 1 → 0 на выходе, нс][Задержка 0 → 1 на выходе, нс][Ложные срабатывания], + [СДНФ, примитивы D0\_GATE], [0], [0], [нет], + [7400 (2И-НЕ), 3 ступени], [25], [29], [нет], + [7402 (2ИЛИ-НЕ), 3 ступени], [28], [32], [нет]), + caption: [Задержки, полученные при моделировании (по числовому выводу)]) + +Задержка схемы на реальных элементах составляет 25–32 нс – это сумма задержек трёх последовательных элементов (около 7–11 нс на элемент у модели ТТЛ-микросхемы 7400). Переход 0 → 1 на выходе дольше, чем 1 → 0, так как у ТТЛ-элементов время включения $t_"PLH"$ больше времени выключения $t_"PHL"$. Выходной сигнал оказывается сдвинутым вправо относительно входных наборов (сравните @fig:sdnf-tr и @fig:nand-tr). + +В отличие от примера методички, ложных срабатываний в модели нет. Причина – в устройстве схемы: при смене набора выход может «дёрнуться» только если на входы одного элемента приходят два меняющихся сигнала с разной задержкой. Такие места в схеме есть: + +- переход 0001 → 0010 (X1 падает, X2 растёт, $Y = 0 → 0$): на элемент C приходят $overline(X_1)$ (растёт) и $overline(X_2)$ (падает). Если бы $overline(X_1)$ вырос раньше, чем упадёт $overline(X_2)$, на короткое время оба были бы равны 1, $C = 0$, и на выходе появился бы ложный импульс «1». У модели 7400 спад ($t_"PHL" approx 7$ нс) быстрее нарастания ($t_"PLH" approx 11$ нс), поэтому $overline(X_2)$ успевает упасть первым и импульса нет; +- переход 1001 → 1010 ($Y = 1 → 1$): элемент A = И-НЕ($X_1$, $X_2$) получает сразу два меняющихся входа; генератор Stim4 меняет их строго одновременно, поэтому провала нет. + +У реальных микросхем 74HC времена $t_"PLH"$ и $t_"PHL"$ почти одинаковы, а входные сигналы от микроконтроллера меняются не одновременно, поэтому на стенде в этих местах ложные срабатывания вполне возможны (см. раздел 7). + +// ===================================================================== += 4 Экспериментальная часть: измеренные задержки + +Измерения выполняются на лабораторном стенде: на вход цепочки инверторов 74HC04 подаётся меандр 20 кГц с микроконтроллера ESP32-C3 (программа – Приложение А), осциллограф Hantek DSO2D10 подключается каналом CH1 ко входу цепочки, каналом CH2 – к выходу. Задержка измеряется между уровнями 50 % фронтов (курсорами по времени или автоматическим измерением Delay CH1→CH2). Подробный порядок действий – в Приложении Б. + +Справочные значения для 74HC04 (Texas Instruments, $C_L = 50$ пФ, 25 °C): $t_"pd"$ тип. = 45 нс при 2 В, 9 нс при 4,5 В, 8 нс при 6 В; максимум 19 нс при 4,5 В. Для 3,3 В в справочнике нет строки – по интерполяции типовое значение порядка 12–15 нс. На плате нагрузка меньше 50 пФ (вход следующего элемента + щуп), поэтому реальные задержки могут быть меньше справочных. + +#figure( + table(columns: (2.6cm, 2.2cm, 3.8cm, 3.6cm, 3.6cm), align: center + horizon, + ..hdr[Число инверторов][Питание, В][Ожидаемая задержка (оценка), нс][Измеренная задержка, нс][Задержка на один инвертор, нс], + [2], [3,3], [24 … 30], [#fill-in[]], [#fill-in[]], + [2], [5,0], [16 … 18], [#fill-in[]], [#fill-in[]], + [6], [3,3], [72 … 90], [#fill-in[]], [#fill-in[]], + [6], [5,0], [48 … 54], [#fill-in[]], [#fill-in[]]), + caption: [Задержка распространения цепочки инверторов 74HC04]) + +Задержка на один инвертор = измеренная задержка / число инверторов. Ожидается, что: 1) задержка цепочки из 6 инверторов примерно втрое больше, чем из 2; 2) при 3,3 В задержка заметно (в 1,4–1,7 раза) больше, чем при 5 В. + +*Важное замечание для измерений при 5 В.* Микроконтроллер выдаёт сигнал 3,3 В, а при питании 74HC от 5 В гарантированный порог «единицы» на входе $V_"IH"$ = 3,5 В. Обычно элемент всё равно переключается (реальный порог около $V_"CC"$/2 ≈ 2,5 В), но задержка первого инвертора при этом может немного отличаться – это стоит отметить при обсуждении результатов. + +// ===================================================================== += 5 Осциллограммы сигналов + +На каждой осциллограмме должны быть видны вход (CH1) и выход (CH2) цепочки и измеренное значение задержки. Удобно растянуть по времени один фронт (развёртка 10–20 нс/дел.). Снимок экрана осциллографа сохраняется на флешку (кнопка Save/Print) или фотографируется. + +#figure(placeholder[осциллограмму: 2 инвертора, 3,3 В], caption: [Вход и выход цепочки из 2 инверторов, питание 3,3 В]) +#figure(placeholder[осциллограмму: 2 инвертора, 5 В], caption: [Вход и выход цепочки из 2 инверторов, питание 5 В]) +#figure(placeholder[осциллограмму: 6 инверторов, 3,3 В], caption: [Вход и выход цепочки из 6 инверторов, питание 3,3 В]) +#figure(placeholder[осциллограмму: 6 инверторов, 5 В], caption: [Вход и выход цепочки из 6 инверторов, питание 5 В]) + +// ===================================================================== += 6 Временные диаграммы, измеренные через DSView + +На плате собирается схема минимальной функции на элементах 2И-НЕ (@fig:nand-sch). Выводы микроконтроллера подключаются к входам: GPIO6 → X1, GPIO7 → X2, GPIO8 → X3 (в схеме не используется, но записывается анализатором), GPIO10 → X4. Логический анализатор DSLogic: каналы 0–3 → X1…X4, канал 4 → выход Y, земля анализатора – на GND платы. Программа перебирает наборы 0000…1111, каждый длится 100 мкс (10 кГц). В DSView частота выборки – не ниже 100 МГц, чтобы были видны короткие (десятки наносекунд) ложные импульсы. + +#figure( + table(columns: (5.4cm, 2.0cm, 4.4cm, 3.6cm), align: center + horizon, + ..hdr[Элемент схемы][Функция][Входы][Выход], + [X1 (1-й элемент 1-й микросхемы)], [$overline(X_1)$], [X1, X1 (выв. 1, 2)], [$overline(X_1)$ (выв. 3)], + [X2 (2-й элемент 1-й микросхемы)], [$overline(X_2)$], [X2, X2 (выв. 4, 5)], [$overline(X_2)$ (выв. 6)], + [X3 (3-й элемент 1-й микросхемы)], [A], [X1, X2 (выв. 9, 10)], [A (выв. 8)], + [X4 (4-й элемент 1-й микросхемы)], [C], [$overline(X_1)$, $overline(X_2)$ (выв. 12, 13)], [C (выв. 11)], + [X5 (1-й элемент 2-й микросхемы)], [B], [X4, A (выв. 1, 2)], [B (выв. 3)], + [X6 (2-й элемент 2-й микросхемы)], [Y], [C, B (выв. 4, 5)], [Y (выв. 6)]), + caption: [Подключение элементов 74HC00 на плате (пример; номера выводов – по даташиту 74HC00)]) + +На плате выводы микросхем выведены на штыревые разъёмы (см. разводку в Приложении 2 методички), поэтому соединения делаются перемычками между соответствующими контактами. + +#figure(placeholder[снимок DSView: весь цикл 1,6 мс], caption: [Временная диаграмма схемы индивидуального варианта, снятая в DSView (полный перебор 0000…1111)]) +#figure(placeholder[снимок DSView: увеличенный фрагмент с ложным импульсом], caption: [Ложное срабатывание крупным планом (DSView)]) +#figure(placeholder[снимок DSView после включения 74HC14], caption: [Устранение ложного срабатывания триггером Шмитта 74HC14 (DSView)]) + +Устранение ложного срабатывания (пп. 29–31 порядка выполнения). Выход схемы подключается ко входу инвертора с триггером Шмитта 74HC14; так как элемент инвертирующий, для получения прямого сигнала $Y$ ставят два таких инвертора последовательно (или анализируют $overline(Y)$). Короткий импульс длительностью в единицы наносекунд не успевает перезарядить входную ёмкость до верхнего порога $V_(T+)$ (≈ 2,5 В при 4,5 В питания), и триггер Шмитта его не пропускает. Если импульс длиннее, между выходом схемы и входом 74HC14 включают RC-цепочку (например, $R = 1$ кОм, $C = 100$ пФ, $tau = 100$ нс): она «растягивает» фронты, а гистерезис триггера Шмитта не даёт медленному фронту вызвать дребезг. Ложные импульсы короче ≈ $tau$ при этом подавляются, а полезный сигнал 10 кГц (100 мкс) лишь задерживается на ≈ 0,1 мкс. + +#par(first-line-indent: 0pt)[#fill-in[опишите, какой вариант был выбран, сколько было ложных срабатываний до и после включения 74HC14]] + +// ===================================================================== += 7 Сравнение модели с результатом в DSView + +Модель Micro-Cap из раздела 3 предполагает, что все входы меняются строго одновременно. Микроконтроллер при записи через `Pin.value()` меняет выводы по очереди, с интервалом в несколько микросекунд. Чтобы предсказать, что покажет DSView, выполнено дополнительное моделирование: генератор меняет X1, X2, X3, X4 по очереди с шагом 8 мкс, новый набор – каждые 100 мкс (10 кГц), схема – та же, на 7400. + +#figure(embedded(img.mcu_tr, width: 100%), caption: [Прогноз для стенда: выводы МК переключаются по очереди (шаг 8 мкс), 10 кГц]) + +#figure( + table(columns: (3.0cm, 4.2cm, 3.6cm, 5.2cm), align: center + horizon, + ..hdr[Переход][Промежуточные наборы][Y по пути][Результат], + [0001 → 0010], [0000], [0 → 1 → 0], table.cell(fill: zero)[ложный импульс «1» ≈ 8 мкс], + [0011 → 0100], [0010, 0000], [0 → 0 → 1 → 1], [выход переключается раньше], + [0101 → 0110], [0100], [0 → 1 → 0], table.cell(fill: zero)[ложный импульс «1» ≈ 8 мкс], + [0111 → 1000], [0110, 0100, 0000], [0 → 0 → 1 → 1 → 1], [выход переключается раньше], + [1001 → 1010], [1000], [1 → 1 → 1], [без изменений], + [1011 → 1100], [1010, 1000], [0 → 1 → 1 → 1], [выход переключается раньше], + [1101 → 1110], [1100], [1 → 1 → 1], [без изменений]), + caption: [Промежуточные наборы при последовательной записи X1 → X2 → X3 → X4]) + +Моделирование (@fig:mcu) подтверждает анализ: на выходе появляются два ложных импульса – в моменты 200 мкс (0001 → 0010) и 600 мкс (0101 → 0110), каждый длительностью ≈ 8 мкс. Если в программе использовать одновременную запись всех четырёх битов в регистр GPIO (переменная `SIMULTANEOUS = True`, Приложение А), эти импульсы исчезают, и остаются только возможные наносекундные ложные срабатывания из-за разных задержек элементов (раздел 3.7.5). Такие импульсы триггер Шмитта (с RC-цепочкой) подавить может, а микросекундные – нет: они по сути являются «настоящими» промежуточными входными наборами. + +#figure( + table(columns: (6.2cm, 4.8cm, 5.0cm), align: center + horizon, + ..hdr[Параметр][Модель Micro-Cap][DSView (эксперимент)], + [Значения Y на 16 наборах], [совпадают с @tab:full], [#fill-in[]], + [Задержка выхода относительно входа], [25–29 нс (ТТЛ 7400)], [#fill-in[]], + [Ложные срабатывания при одновременной смене входов], [нет], [#fill-in[]], + [Ложные срабатывания при записи битов по очереди], [2 (на 200 и 600 мкс, ≈ 8 мкс)], [#fill-in[]], + [После включения 74HC14], [—], [#fill-in[]]), + caption: [Сравнение модели и эксперимента]) + +#par(first-line-indent: 0pt)[#fill-in[сравните: совпали ли значения Y с моделью, сколько ложных срабатываний и где, их длительность]] + +// ===================================================================== += 8 Вывод + +1. Для студента Бояров Данила по буквам имени и фамилии построена таблица истинности функции четырёх переменных (единицы на наборах 0000, 0100, 1001, 1110; нули на 0001, 0010, 0011, 1111), записана СДНФ. + +2. С помощью карт Карно с доопределением безразличных наборов функция минимизирована по единицам ($Y = overline(X_2) thin overline(X_1) + X_4 overline(X_2) + X_4 overline(X_1)$) и по нулям ($Y = (X_4 + overline(X_1))(X_4 + overline(X_2))(overline(X_2) + overline(X_1))$); функция не зависит от X3. Прямой перевод этих форм в базисы 2И-НЕ и 2ИЛИ-НЕ требует по 8 элементов, а скобочные формы – по 6 элементов; перебором подтверждено, что 6 – минимум. + +3. Моделирование в Micro-Cap подтвердило правильность варианта: схема СДНФ на идеальных примитивах и минимальные схемы на 7400 и 7402 дают на всех заданных наборах требуемые значения. У схем на реальных элементах выход запаздывает на 25–29 нс (7400) и 28–32 нс (7402), ложных срабатываний при одновременной смене входов в модели нет. Показано, что при последовательной записи битов микроконтроллером следует ожидать два ложных импульса. + +4. Экспериментальная часть: #fill-in[задержка одного инвертора 74HC04 при 3,3 В составила … нс, при 5 В – … нс; задержка растёт пропорционально числу инверторов и уменьшается с ростом напряжения питания; в DSView наблюдалось … ложных срабатываний, после включения триггера Шмитта …] + +// ===================================================================== +#pagebreak() += Приложение А. Программы для микроконтроллера + +Микроконтроллер – ESP32-C3 Super Mini с MicroPython. Используемые выводы выведены на разъём J1 платы (GPIO6, 7, 8, 9, 10, 20, 21). GPIO20 и GPIO21 заняты последовательным портом (консолью) и не используются. + +#par(first-line-indent: 0pt)[*А.1 Меандр 20 кГц (п. 3 порядка выполнения), файл main.py:*] + +#block(fill: luma(242), stroke: 0.5pt, inset: 6pt, width: 100%)[ +```python +# ЛР2601, п. 3 порядка выполнения: меандр 20 кГц на выводе микроконтроллера +# Плата: ESP32-C3 Super Mini, MicroPython. +# Сигнал снимается с GPIO6 (разъём J1, контакт 8) и подаётся на вход первого инвертора. +# +# Используется аппаратный ШИМ: частота выдерживается точно +# и не зависит от скорости интерпретатора Python. + +from machine import Pin, PWM + +OUT_PIN = 6 # номер GPIO, при необходимости поменять +FREQ = 20_000 # 20 кГц -> период 50 мкс + +pwm = PWM(Pin(OUT_PIN, Pin.OUT), freq=FREQ, duty_u16=32768) # скважность 50 % + +# Программа ничего больше не делает: ШИМ работает сам по себе. +# Остановить: pwm.deinit() + + +# --------------------------------------------------------------------------- +# Вариант только на классе Pin (как в Приложении 3 методички). +# Частота получится НЕ ровно 20 кГц: каждая команда Python на ESP32-C3 +# выполняется несколько микросекунд. Используйте, если преподаватель +# требует решение именно через Pin.on()/Pin.off(). +# +# from machine import Pin +# import time +# p = Pin(OUT_PIN, Pin.OUT) +# half = 25 # полпериода 25 мкс +# t = time.ticks_us() +# while True: +# p.on() +# t = time.ticks_add(t, half) +# while time.ticks_diff(t, time.ticks_us()) > 0: +# pass +# p.off() +# t = time.ticks_add(t, half) +# while time.ticks_diff(t, time.ticks_us()) > 0: +# pass +``` +] + +Используется аппаратный ШИМ: частота ровно 20 кГц и не зависит от скорости интерпретатора. Вариант через `Pin.on()`/`Pin.off()` приведён в комментарии – он даст частоту чуть ниже 20 кГц из-за времени выполнения команд Python. + +#par(first-line-indent: 0pt)[*А.2 Перебор таблицы истинности с частотой 10 кГц (п. 22), файл main.py:*] + +#block(fill: luma(242), stroke: 0.5pt, inset: 6pt, width: 100%)[ +```python +# ЛР2601, п. 22 порядка выполнения: перебор таблицы истинности 0000..1111 +# с частотой 10 кГц (новый входной набор каждые 100 мкс). +# Плата: ESP32-C3 Super Mini, MicroPython. +# +# Подключение (разъём J1): +# X1 (младший разряд) -> GPIO6 (J1, конт. 8) +# X2 -> GPIO7 (J1, конт. 7) +# X3 -> GPIO8 (J1, конт. 6) +# X4 (старший разряд) -> GPIO10 (J1, конт. 4) +# GPIO20/21 не используем: это UART, через него работает консоль MicroPython. + +from machine import Pin +import time + +PINS = [6, 7, 8, 10] # X1, X2, X3, X4 +STEP_US = 100 # 10 кГц -> 100 мкс на один набор + +x = [Pin(n, Pin.OUT, value=0) for n in PINS] + +SIMULTANEOUS = True # True - все 4 бита меняются одной записью в регистр + +# Регистр выходов GPIO ESP32-C3 (Technical Reference Manual, глава GPIO): +GPIO_OUT_REG = 0x60004004 +MASK = 0 +for n in PINS: + MASK |= 1 << n + + +def write_code(code): + if SIMULTANEOUS: + from machine import mem32 + v = mem32[GPIO_OUT_REG] & ~MASK + for i, n in enumerate(PINS): + if code >> i & 1: + v |= 1 << n + mem32[GPIO_OUT_REG] = v # все выводы переключаются одновременно + else: + for i, p in enumerate(x): # по очереди X1, X2, X3, X4 (как в Приложении 3) + p.value(code >> i & 1) + + +t = time.ticks_us() +code = 0 +while True: + write_code(code) + code = (code + 1) & 0x0F # 0000 -> 0001 -> ... -> 1111 -> 0000 + t = time.ticks_add(t, STEP_US) + while time.ticks_diff(t, time.ticks_us()) > 0: + pass +``` +] + +При `SIMULTANEOUS = True` все четыре бита меняются одной записью в регистр выходов GPIO (адрес по техническому руководству ESP32-C3), при `False` – по очереди через `Pin.value()`, как в Приложении 3 методички. Сравнение этих двух режимов в DSView наглядно показывает, откуда берутся ложные срабатывания (раздел 7). + +// ===================================================================== += Приложение Б. Памятка: как выполнить работу на стенде + +#par(first-line-indent: 0pt)[_Порядок соответствует пунктам методички._] + +#set par(first-line-indent: 0pt) ++ Получить у преподавателя плату, анализатор DSLogic, провода-перемычки и джамперы. ++ Запустить Visual Studio Code, открыть проект `/home/ros/Documents/DigitalLab`. ++ Создать в проекте файл main.py и вставить в него программу А.1 (меандр 20 кГц на GPIO6). ++ Подключить плату кабелем USB Type-C – USB Type-A к компьютеру, загрузить main.py на микроконтроллер (как именно – по инструктажу преподавателя, обычно кнопка Upload расширения MicroPython/Pymakr). Отключить плату. ++ Перемычками соединить последовательно 2 инвертора в секции «НЕ» (74HC04): выход 1-го → вход 2-го. ++ Джампер J3 поставить в положение 3,3 В (J3 выбирает, от чего питаются микросхемы: 5 В или 3,3 В). ++ Перемычкой соединить GPIO6 (J1) со входом первого инвертора. ++ Осциллограф: CH1 – на вход цепочки, CH2 – на выход, «крокодилы» щупов – на GND платы. ++ Подать питание на плату от блока питания USB Type-C. На осциллографе: синхронизация по CH1, по фронту; развёртка сначала 10 мкс/дел. (видно меандр 20 кГц), затем 10–20 нс/дел. (виден один фронт с задержкой). ++ Измерить задержку курсорами между точками 50 % амплитуды на CH1 и CH2 (или функцией Measure → Delay). Записать в @tab:delays, сохранить снимок экрана. ++ Переставить J3 на 5 В, повторить измерение. ++ Вернуть 3,3 В, собрать цепочку из 6 инверторов, повторить измерения при 3,3 В и 5 В. Вернуть 3,3 В. Отключить питание. ++ Записать в main.py программу А.2. Собрать на элементах 2И-НЕ схему @fig:nand-sch по @tab:wiring (две микросхемы 74HC00: инверторы X1, X2 и элементы A, C в первой, B и Y во второй). ++ Подключить GPIO6/7/8/10 к входам X1/X2/X3/X4, DSLogic: каналы 0–3 на X1–X4, канал 4 на выход Y, GND на GND. ++ Подключить плату к ПК, запустить программу. В DSView выставить частоту выборки 100 МГц или выше, длительность записи ≈ 2–5 мс, пороговое напряжение 1,6 В (для 3,3 В логики), нажать Start, сохранить диаграмму. ++ Повторить для вариантов других студентов бригады; выбрать вариант с наименьшим (но не нулевым) числом ложных срабатываний. ++ Включить после выхода схемы инвертирующий триггер Шмитта 74HC14 (при необходимости – с RC-цепочкой, раздел 6), зафиксировать в DSView, что ложное срабатывание исчезло. ++ Отключить плату от ПК и сдать преподавателю. + +_Если ложных срабатываний в режиме `SIMULTANEOUS = True` не видно, переключите `SIMULTANEOUS = False` – по прогнозу (@fig:mcu) появятся два ложных импульса по несколько микросекунд._ + +// ===================================================================== += Приложение В. Файлы, прилагаемые к отчёту + +- *MicroCap/LR2601\_1\_SDNF\_primitives.cir* – исходная функция (СДНФ) на примитивах (@fig:sdnf-sch, @fig:sdnf-tr); +- *MicroCap/LR2601\_2\_min\_7400\_NAND.cir* – минимальная функция на 7400 (@fig:nand-sch, @fig:nand-tr); +- *MicroCap/LR2601\_3\_min\_7402\_NOR.cir* – минимальная функция на 7402 (@fig:nor-sch, @fig:nor-tr); +- *MicroCap/LR2601\_4\_7400\_MCU\_seq.cir* – прогноз для стенда (последовательная запись битов, @fig:mcu); +- *micropython/main\_20kHz.py* – меандр 20 кГц; +- *micropython/main\_truth\_table.py* – перебор таблицы истинности 10 кГц. + +Файлы .cir открываются в Micro-Cap 12 (File → Open); анализ запускается через Analysis → Transient → Run (F2). +] + +// ===================================================================== +// ВСТРОЕННЫЕ ИЗОБРАЖЕНИЯ (PNG, экспорт из Micro-Cap 12) – не редактировать +// ===================================================================== +#let img-sdnf-sch = ( 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+139,236,144,212,8,64,156,80,171,148,151,110,84,254,161,82,227,13,110,221,180,63,2,128,120,218,147,98,234,168,55,175,156,229,10,111,5,112,178,109,232,178,77,188,124,228,162,245,230,37,32,135,164,42,0, +112,212,42,193,48,177,54,82,230,133,31,189,247,169,39,164,75,175,251,108,71,243,194,221,127,184,232,205,236,126,204,93,222,67,202,14,134,57,71,130,214,94,244,129,139,112,78,61,118,17,193,224,182,163, +206,191,215,85,232,124,114,90,122,225,238,203,126,240,216,69,6,64,246,226,196,163,34,200,161,129,224,213,171,141,172,141,0,112,114,78,239,229,38,176,7,143,75,125,199,196,73,70,96,232,210,161,200,161, +199,207,69,30,124,45,177,247,216,21,35,128,150,113,158,204,172,127,240,246,45,135,164,42,17,192,64,173,18,12,243,143,52,88,17,210,200,36,69,193,175,107,234,227,152,131,220,32,75,5,184,209,15,115,155, 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+137,80,78,71,13,10,26,10,0,0,0,13,73,72,68,82,0,0,6,164,0,0,3,53,4,3,0,0,0,228,252,141,74,0,0,0,48,80,76,84,69,255,255,255,255,255,250,251,255,255,254,254,254,255,253,255,253,253,255,253,253,253,255, +248,250,250,251,252,240,243,243,233,225,234,228,190,206,161,180,179,155,122,159,61,118,114,110,12,164,99,150,97,218,0,0,77,210,73,68,65,84,120,218,237,189,123,156,28,85,157,254,255,84,157,234,158,201, +76,18,219,4,144,21,136,101,66,16,2,193,146,1,194,37,64,11,9,68,2,216,2,35,89,21,29,137,151,93,127,1,243,101,85,88,3,102,86,200,146,5,149,17,88,69,32,208,18,188,17,33,189,200,69,185,100,218,36,66,136, +25,210,36,18,64,51,73,17,192,175,172,16,27,8,144,233,233,234,243,251,99,38,16,100,248,218,51,253,153,233,83,85,207,231,245,82,3,25,207,156,122,78,157,58,151,231,156,207,27,96,48,24,12,6,131,193,96,48, +24,12,6,131,193,96,48,24,12,6,131,193,96,48,134,63,44,74,48,146,49,103,103,14,104,108,7,130,5,152,227,173,201,33,113,217,206,118,28,149,89,147,3,18,11,218,251,127,202,185,164,255,79,206,217,222,154, +92,226,50,32,88,128,198,139,219,129,197,151,92,14,32,88,0,0,115,60,96,77,174,177,29,192,197,71,237,157,155,213,124,7,144,104,191,108,86,110,49,0,96,205,61,237,11,0,44,46,120,0,214,228,156,203,177,38, +7,0,56,42,19,44,192,156,167,54,46,2,118,253,43,6,35,252,145,78,0,9,0,112,160,250,254,228,13,240,67,128,211,247,167,204,192,165,36,170,254,125,153,93,69,37,118,47,205,97,67,48,66,29,153,135,58,50,72, +47,233,238,238,94,11,60,180,185,35,157,110,238,94,9,239,146,205,217,12,18,205,43,85,127,63,105,122,180,239,79,170,161,171,59,155,104,238,238,238,94,139,204,146,167,161,166,173,155,210,221,221,221,253, +180,2,144,121,168,187,187,59,139,75,186,187,187,55,187,119,228,211,119,172,85,192,130,181,151,174,108,232,238,238,238,238,238,206,54,255,209,129,211,180,249,142,238,238,238,238,108,75,83,215,230,142, +190,226,111,234,254,35,50,15,117,52,117,119,119,111,206,42,54,10,35,212,93,74,103,51,72,47,215,90,235,167,110,209,186,156,104,208,90,95,215,164,117,57,129,246,91,122,250,223,239,204,199,123,250,70, +159,25,235,181,14,174,27,163,181,214,27,210,203,203,141,206,135,244,193,90,107,93,82,0,50,90,107,29,184,11,181,214,186,103,121,62,221,169,175,243,50,235,203,11,183,53,104,173,181,214,249,230,96,127, +52,54,151,59,181,214,58,63,109,171,214,229,179,1,28,118,169,214,250,105,108,205,54,105,173,117,185,157,141,34,29,54,37,24,201,240,1,0,143,91,86,110,255,244,163,163,213,141,179,130,201,254,33,95,239, +109,86,87,181,94,217,182,107,50,247,155,254,5,78,226,17,239,199,141,219,142,175,4,150,117,243,193,62,212,245,25,0,129,101,89,201,0,0,240,125,171,209,206,226,85,203,250,150,2,80,196,232,204,255,245, 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+185,207,234,223,174,251,240,56,189,42,251,177,254,191,94,213,246,191,125,187,19,43,18,191,57,229,231,255,222,0,96,69,215,255,118,55,169,27,175,0,112,241,91,197,28,129,207,1,56,19,203,127,230,3,40,55, +62,52,166,248,222,183,126,203,6,125,234,74,123,249,143,63,240,212,197,64,98,116,211,207,231,160,1,72,183,173,235,197,157,119,98,43,128,51,113,240,135,57,72,113,148,138,66,244,46,91,246,147,96,166,243, +130,247,36,14,60,233,220,14,20,109,52,188,113,252,174,177,167,231,248,254,245,141,158,98,157,28,44,237,251,232,29,138,66,79,254,159,1,40,29,4,29,125,63,240,215,5,247,103,30,67,207,178,101,223,8,138,0, +42,118,101,254,214,221,126,139,250,142,82,201,160,29,159,211,65,121,193,95,213,57,155,59,18,64,42,85,78,3,78,59,0,44,91,118,101,102,11,135,41,118,169,8,196,7,180,206,108,234,157,190,87,48,31,199,45, +179,61,0,208,234,173,125,130,179,250,39,126,229,230,75,96,127,230,122,0,64,193,2,206,80,62,0,216,118,127,55,248,170,126,173,50,31,99,180,254,118,0,0,189,182,155,126,102,247,142,91,86,87,171,138,15, +192,86,169,189,111,194,164,243,175,194,238,6,191,210,250,181,224,11,244,122,217,165,34,50,80,29,250,187,215,58,30,118,177,250,147,237,199,0,128,21,188,245,110,223,177,235,15,43,22,89,119,226,83,253, +67,22,48,69,101,251,118,252,218,118,253,108,176,52,5,0,189,211,0,160,252,76,123,218,223,253,119,244,248,163,47,212,237,248,173,101,89,243,239,252,98,98,133,253,175,45,187,126,123,123,255,31,110,219, +151,77,193,46,21,129,120,220,202,217,137,217,167,238,119,94,128,103,23,125,15,62,42,232,25,224,199,210,119,252,238,172,179,198,56,118,95,59,121,24,149,63,19,192,81,45,187,58,198,247,45,103,110,30,47, +91,237,246,14,0,128,63,37,104,127,219,255,191,224,166,31,1,212,89,45,45,153,135,126,114,218,73,223,82,79,160,88,116,242,72,124,51,11,32,176,154,225,114,222,199,46,21,133,216,123,241,167,85,231,211, +237,143,236,123,136,111,103,207,128,191,231,225,216,62,192,143,165,236,125,166,206,90,0,0,56,49,251,71,192,206,43,0,93,93,93,111,22,179,248,116,96,212,226,197,234,38,0,192,219,55,252,128,98,225,40, +183,0,4,65,87,151,103,239,227,205,186,19,64,62,123,120,2,167,39,206,4,128,197,223,200,29,115,15,91,131,93,42,2,177,243,226,147,243,71,124,50,248,104,10,254,62,159,190,91,99,159,117,105,63,253,206,31, +123,173,240,254,203,95,186,92,3,80,43,50,93,192,202,7,222,126,124,104,231,154,139,115,0,22,124,44,119,12,0,160,227,48,253,182,191,127,226,59,206,132,249,125,127,44,20,143,190,252,127,183,1,72,60,232, +60,128,59,219,30,3,128,5,139,62,147,88,200,214,96,151,66,184,79,79,228,144,7,112,207,25,42,189,186,156,203,117,76,191,188,240,104,254,152,251,211,3,25,68,249,239,36,86,252,254,238,160,130,157,193,242, +74,59,80,222,43,63,96,161,247,124,166,111,87,176,108,63,249,182,127,175,63,160,180,3,32,7,220,243,217,228,45,79,108,8,14,132,222,87,253,17,119,184,125,198,84,239,76,76,79,179,81,216,165,194,28,238, +231,180,222,0,64,159,166,210,39,104,157,255,171,234,157,176,225,170,196,107,193,215,115,239,188,104,211,123,68,254,56,157,254,169,173,180,206,252,201,5,112,207,247,6,222,234,56,205,202,244,237,96,20, +1,188,213,55,203,7,248,129,5,247,4,173,245,159,78,241,63,179,211,253,225,214,146,53,250,91,147,245,153,127,204,245,53,125,34,55,253,121,54,10,104,245,134,56,86,184,64,113,187,143,242,27,43,92,0,216, +107,204,227,207,207,243,150,164,87,207,206,161,178,222,62,19,0,150,33,40,160,21,0,238,156,245,112,234,249,47,38,183,0,47,29,115,218,118,31,250,161,110,189,5,64,34,3,192,91,81,4,128,199,214,3,61,119, 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+15,110,201,180,100,190,177,113,249,163,25,195,111,107,44,18,7,71,222,77,202,111,67,247,11,97,47,59,66,52,99,85,124,73,188,74,220,40,0,67,175,18,65,22,137,131,35,223,38,101,248,109,29,152,212,42,236, +97,54,48,203,18,15,52,173,56,66,188,221,12,28,33,154,77,86,169,242,66,101,9,202,28,138,64,213,93,175,55,220,173,70,85,33,154,128,77,214,168,3,99,131,175,124,161,227,28,41,14,110,82,28,121,55,42,237, +226,161,215,93,26,11,0,104,79,2,64,252,172,199,113,194,16,22,134,155,20,71,33,33,20,33,212,19,214,252,26,200,42,202,224,144,213,207,124,190,25,103,79,84,167,105,72,242,82,90,14,142,188,167,39,170,109, +125,242,170,117,208,87,189,33,162,104,177,150,196,171,196,31,236,32,54,54,87,243,200,143,131,163,128,38,117,132,8,134,102,137,21,171,236,219,150,100,86,136,7,103,217,171,236,170,141,111,183,218,60, +137,206,193,81,144,213,27,94,53,223,172,90,37,196,223,13,191,16,111,26,254,141,226,5,243,23,66,44,107,100,171,183,50,131,59,194,178,69,86,61,226,17,0,7,15,56,218,90,115,223,128,21,225,145,13,79,108, 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+137,80,78,71,13,10,26,10,0,0,0,13,73,72,68,82,0,0,6,164,0,0,3,53,4,3,0,0,0,228,252,141,74,0,0,0,48,80,76,84,69,255,255,255,255,255,253,251,255,255,254,254,254,255,253,255,253,253,254,253,253,253,254, +249,251,250,251,251,239,240,240,231,222,230,225,183,198,151,175,169,157,111,120,53,116,117,96,12,135,195,175,107,253,0,0,99,165,73,68,65,84,120,218,237,157,121,156,20,213,185,254,159,218,122,152,5, +105,64,192,104,192,98,83,89,70,75,7,112,215,142,130,26,65,211,46,40,49,106,70,9,154,228,135,134,27,99,36,162,97,114,21,37,46,113,92,98,34,139,182,138,198,136,134,142,146,152,8,50,45,160,34,206,72,33, +138,120,13,88,136,26,80,150,22,1,161,187,171,206,239,143,25,20,21,135,238,233,119,186,79,87,189,239,231,222,8,116,207,153,83,79,213,169,179,60,231,188,95,128,131,131,131,131,131,131,131,131,131,131, +131,131,131,131,131,131,131,131,131,131,131,131,131,131,131,163,253,67,99,9,138,17,83,22,0,24,115,241,240,225,223,91,128,49,23,52,0,67,175,254,79,18,99,126,184,0,128,113,246,170,230,47,157,241,147, 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+16,75,141,138,101,98,161,117,131,16,75,206,173,220,197,86,111,73,14,229,89,130,98,133,167,30,240,12,128,131,188,35,86,189,245,215,238,141,209,195,107,222,88,253,131,179,181,219,186,157,183,126,225, +129,77,209,178,163,78,106,114,88,37,14,142,220,105,195,169,83,244,40,48,26,6,96,64,183,112,42,70,0,145,72,195,151,217,14,57,56,56,144,237,81,121,28,237,245,135,86,83,3,160,166,6,128,214,242,167,67,51, +60,238,227,224,104,211,216,251,55,123,117,116,245,123,216,232,229,224,224,224,224,144,101,252,135,189,230,182,230,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224, +224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,32,137,255,15,39,197,109,205,225,107,118,45,0,0,0,0,73,69,78,68,174,66,96,130 +) +#let img-mcu-tr = ( +137,80,78,71,13,10,26,10,0,0,0,13,73,72,68,82,0,0,6,164,0,0,3,51,4,3,0,0,0,50,165,110,87,0,0,0,48,80,76,84,69,255,255,255,255,255,250,250,255,255,254,254,254,253,253,253,253,252,252,254,248,251,250, 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img-sdnf-tr, nand_sch: img-nand-sch, nand_tr: img-nand-tr, nor_sch: img-nor-sch, nor_tr: img-nor-tr, mcu_tr: img-mcu-tr))