#import "@docs/bmstu:1.0.0":*
#import "@preview/tablex:0.0.8": tablex, rowspanx, colspanx, cellx
#show: student_work.with(
  caf_name: "Компьютерные системы и сети",
  faculty_name: "Информатика и системы управления",
  work_type: "лабораторной работе",
  work_num: "2",
  discipline_name: "Схемотехника",
  theme: "Исследование мультиплексора",
  author: (group: "ИУ6-42Б", nwa: "<NAME>"),
  adviser: (nwa: "<NAME>"),
  city: "Москва",
  table_of_contents: true,
)
#let xb = $op("x", limits: #true)^"__"$

= Задание

+ Синтезировать мультиплексор 16-1 на логических элементах
+ Провести наращивание сложного мультиплексора 64-1 на 8-1
  - Каскадным способом
  - С помощью дешфратора

= Задание 1: Синтезировать мультиплексор 16-1 на логических элементах

== Таблица переходов

#align(center)[
  #tablex(
    columns: 22,
    inset: 4pt,
    align: center + horizon,
    [$E_n$],[$x_8$],[$x_4$],[$x_2$],[$x_1$],[$d_0$],[$d_1$],[$d_2$],[$d_3$],[$d_4$],[$d_5$],[$d_6$],[$d_7$],[$d_8$],[$d_9$],[$d_10$],[$d_11$],[$d_12$],[$d_13$],[$d_14$],[$d_15$],[$F$],
    [$0$],[$0$],[$0$],[$0$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],
    [$1$],[$0$],[$0$],[$0$],[$0$],[$d_0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_0$],
    [$1$],[$0$],[$0$],[$0$],[$1$],[$✘$],[$d_1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_1$],
    [$1$],[$0$],[$0$],[$1$],[$0$],[$✘$],[$✘$],[$d_2$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_2$],
    [$1$],[$0$],[$0$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$d_3$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_3$],
    [$1$],[$0$],[$1$],[$0$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_4$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_4$],
    [$1$],[$0$],[$1$],[$0$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_5$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_5$],
    [$1$],[$0$],[$1$],[$1$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_6$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_6$],
    [$1$],[$0$],[$1$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_7$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_7$],
    [$1$],[$1$],[$0$],[$0$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_8$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_8$],
    [$1$],[$1$],[$0$],[$0$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_9$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_9$],
    [$1$],[$1$],[$0$],[$1$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_10$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_10$],
    [$1$],[$1$],[$0$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_11$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_11$],
    [$1$],[$1$],[$1$],[$0$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_12$],[$✘$],[$✘$],[$✘$],[$d_12$],
    [$1$],[$1$],[$1$],[$0$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_13$],[$✘$],[$✘$],[$d_13$],
    [$1$],[$1$],[$1$],[$1$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_14$],[$✘$],[$d_14$],
    [$1$],[$1$],[$1$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_15$],[$d_15$],
    )
]

== Формула

$
F(E_n, x_8, x_4, x_2, x_1) = E_n (
d_0 xb_8 xb_4 xb_2 xb_1 or
d_1 xb_8 xb_4 xb_2 x_1 or\ or
d_2 xb_8 xb_4 x_2 xb_1 or
d_3 xb_8 xb_4 x_2 x_1 or
d_4 xb_8 x_4 xb_2 xb_1 or\ or
d_5 xb_8 x_4 xb_2 x_1 or
d_6 xb_8 x_4 x_2 xb_1 or
d_7 xb_8 x_4 x_2 x_1 or\ or
d_8 x_8 xb_4 xb_2 xb_1 or
d_9 x_8 xb_4 xb_2 x_1 or
d_10 x_8 xb_4 x_2 xb_1 or\ or
d_11 x_8 xb_4 x_2 x_1 or
d_12 x_8 x_4 xb_2 xb_1 or
d_13 x_8 x_4 xb_2 x_1 or\ or
d_14 x_8 x_4 x_2 xb_1 or
d_15 x_8 x_4 x_2 x_1
)
$

#pagebreak()
== Схема

#img(image("1.png", width:110%), [Схема мультиплексора на логических элементах])

== Временная диаграмма

#img(image("2.png", width:80%), [Временная диаграмма мультиплексора на логических элементах])

== Практические и теоретические задержки

Практические задержки 119нс.

Теоретически задержки могут возникать из-за конъюнкторов, дизъюнкторов и инверторов.

$ t_"7404N" = 12 "нс" $
$ t_"74ALS21AM" = 9.5 "нс" $
$ t_"7408J" = 17.5 "нс" $
$ t_"74F32D" = 4.2 "нс" $

$ T = t_"ин" + t_"кон1" + 4 t_"диз" + 2 t_"кон2" = 12 + 9.5 + 4 4.2 + 2 17.5 = 73.3 "нс" $

== Вывод

Был синтезирован мультиплексор на логических элементах.

= Задание 2.1: Провести наращивание сложного мультиплексора 64-1 на 8-1 каскадным способом

== Таблица переходов
#align(center)[
#tablex(
columns: 21,
inset: 4pt,
align: center + horizon,
[$E_n$],[$x_32$],[$x_16$],[$x_8$],[$x_4$],[$x_2$],[$x_1$],[$d_0$],[$d_1$],[$d_2$],[$d_3$],[$d_4$],[$d_5$],[$d_6$],[$d_7$],[$d_8$],[$...$],[$d_61$],[$d_62$],[$d_63$],[$F$],
[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$✘$],
[$1$],[$0$],[$0$],[$0$],[$0$],[$0$],[$0$],[$d_0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_0$],
[$1$],[$0$],[$0$],[$0$],[$0$],[$0$],[$1$],[$✘$],[$d_1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_1$],
[$1$],[$0$],[$0$],[$0$],[$0$],[$1$],[$0$],[$✘$],[$✘$],[$d_2$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_2$],
[$1$],[$0$],[$0$],[$0$],[$0$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$d_3$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_3$],
[$1$],[$0$],[$0$],[$0$],[$1$],[$0$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_4$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_4$],
[$1$],[$0$],[$0$],[$0$],[$1$],[$0$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_5$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_5$],
[$1$],[$0$],[$0$],[$0$],[$1$],[$1$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_6$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_6$],
[$1$],[$0$],[$0$],[$0$],[$1$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_7$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_7$],
[$1$],[$0$],[$0$],[$1$],[$0$],[$0$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_8$],[$...$],[$✘$],[$✘$],[$✘$],[$d_8$],
[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],
[$1$],[$1$],[$1$],[$1$],[$1$],[$0$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$d_"61"$],[$✘$],[$✘$],[$d_"61"$],
[$1$],[$1$],[$1$],[$1$],[$1$],[$1$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$d_"62"$],[$✘$],[$d_"62"$],
[$1$],[$1$],[$1$],[$1$],[$1$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$d_"63"$],[$d_"63"$],
)
]

#pagebreak()
== Формула

$

F(E_n,  x_32, x_16, x_8, x_4, x_2, x_1,\
  d_0, d_1, d_2, d_3, d_4, d_5, d_6, d_7, d_8, d_9, d_10,
  d_11, d_12, d_13, d_14, d_15, d_16, d_17, d_18, d_19, d_20,\
  d_21, d_22, d_23, d_24, d_25, d_26, d_27, d_28, d_29, d_30,
  d_31, d_32, d_33, d_34, d_35, d_36, d_37, d_38, d_39, d_40,\
  d_41, d_42, d_43, d_44, d_45, d_46, d_47, d_48, d_49, d_50,
  d_51, d_52, d_53, d_54, d_55, d_56, d_57, d_58, d_59, d_60,\
  d_61, d_62, d_63) = E_n and\ and (
d_0 xb_32 xb_16 xb_8 xb_4 xb_2 xb_1 or
d_1 xb_32 xb_16 xb_8 xb_4 xb_2 x_1 or
d_2 xb_32 xb_16 xb_8 xb_4 x_2 xb_1 or\ or
d_3 xb_32 xb_16 xb_8 xb_4 x_2 x_1 or
d_4 xb_32 xb_16 xb_8 x_4 xb_2 xb_1 or
d_5 xb_32 xb_16 xb_8 x_4 xb_2 x_1 or\ or
d_6 xb_32 xb_16 xb_8 x_4 x_2 xb_1 or
d_7 xb_32 xb_16 xb_8 x_4 x_2 x_1 or
d_8 xb_32 xb_16 x_8 xb_4 xb_2 xb_1 or\ or
d_9 xb_32 xb_16 x_8 xb_4 xb_2 x_1 or
d_10 xb_32 xb_16 x_8 xb_4 x_2 xb_1 or
d_11 xb_32 xb_16 x_8 xb_4 x_2 x_1 or\ or
d_12 xb_32 xb_16 x_8 x_4 xb_2 xb_1 or
d_13 xb_32 xb_16 x_8 x_4 xb_2 x_1 or
d_14 xb_32 xb_16 x_8 x_4 x_2 xb_1 or\ or
d_15 xb_32 xb_16 x_8 x_4 x_2 x_1 or
d_16 xb_32 x_16 xb_8 xb_4 xb_2 xb_1 or
d_17 xb_32 x_16 xb_8 xb_4 xb_2 x_1 or\ or
d_18 xb_32 x_16 xb_8 xb_4 x_2 xb_1 or
d_19 xb_32 x_16 xb_8 xb_4 x_2 x_1 or
d_20 xb_32 x_16 xb_8 x_4 xb_2 xb_1 or\ or
d_21 xb_32 x_16 xb_8 x_4 xb_2 x_1 or
d_22 xb_32 x_16 xb_8 x_4 x_2 xb_1 or
d_23 xb_32 x_16 xb_8 x_4 x_2 x_1 or\ or
d_24 xb_32 x_16 x_8 xb_4 xb_2 xb_1 or
d_25 xb_32 x_16 x_8 xb_4 xb_2 x_1 or
d_26 xb_32 x_16 x_8 xb_4 x_2 xb_1 or\ or
d_27 xb_32 x_16 x_8 xb_4 x_2 x_1 or
d_28 xb_32 x_16 x_8 x_4 xb_2 xb_1 or
d_29 xb_32 x_16 x_8 x_4 xb_2 x_1 or\ or
d_30 xb_32 x_16 x_8 x_4 x_2 xb_1 or
d_31 xb_32 x_16 x_8 x_4 x_2 x_1 or
d_32 x_32 xb_16 xb_8 xb_4 xb_2 xb_1 or\ or
d_33 x_32 xb_16 xb_8 xb_4 xb_2 x_1 or
d_34 x_32 xb_16 xb_8 xb_4 x_2 xb_1 or
d_35 x_32 xb_16 xb_8 xb_4 x_2 x_1 or\ or
d_36 x_32 xb_16 xb_8 x_4 xb_2 xb_1 or
d_37 x_32 xb_16 xb_8 x_4 xb_2 x_1 or
d_38 x_32 xb_16 xb_8 x_4 x_2 xb_1 or\ or
d_39 x_32 xb_16 xb_8 x_4 x_2 x_1 or
d_40 x_32 xb_16 x_8 xb_4 xb_2 xb_1 or
d_41 x_32 xb_16 x_8 xb_4 xb_2 x_1 or\ or
d_42 x_32 xb_16 x_8 xb_4 x_2 xb_1 or
d_43 x_32 xb_16 x_8 xb_4 x_2 x_1 or
d_44 x_32 xb_16 x_8 x_4 xb_2 xb_1 or\ or
d_45 x_32 xb_16 x_8 x_4 xb_2 x_1 or
d_46 x_32 xb_16 x_8 x_4 x_2 xb_1 or
d_47 x_32 xb_16 x_8 x_4 x_2 x_1 or\ or
d_48 x_32 x_16 xb_8 xb_4 xb_2 xb_1 or
d_49 x_32 x_16 xb_8 xb_4 xb_2 x_1 or
d_50 x_32 x_16 xb_8 xb_4 x_2 xb_1 or\ or
d_51 x_32 x_16 xb_8 xb_4 x_2 x_1 or
d_52 x_32 x_16 xb_8 x_4 xb_2 xb_1 or
d_53 x_32 x_16 xb_8 x_4 xb_2 x_1 or\ or
d_54 x_32 x_16 xb_8 x_4 x_2 xb_1 or
d_55 x_32 x_16 xb_8 x_4 x_2 x_1 or
d_56 x_32 x_16 x_8 xb_4 xb_2 xb_1 or\ or
d_57 x_32 x_16 x_8 xb_4 xb_2 x_1 or
d_58 x_32 x_16 x_8 xb_4 x_2 xb_1 or
d_59 x_32 x_16 x_8 xb_4 x_2 x_1 or\ or
d_60 x_32 x_16 x_8 x_4 xb_2 xb_1 or
d_61 x_32 x_16 x_8 x_4 xb_2 x_1 or
d_62 x_32 x_16 x_8 x_4 x_2 xb_1 or\ or
d_63 x_32 x_16 x_8 x_4 x_2 x_1
)

$

#pagebreak()
== Схема

#img(image("3.png", width:85%), [Схема нарощенного мультиплексора])

== Временная диаграмма

#img(image("4.png", width:80%), [Временная диаграмма нарощенного мультиплексора])

== Практические и теоретические задержки

Теоретически задержки могут возникать из-за мультиплексора и инвентора.

$ t_"74LS151N" = 26 "нс" $
$ T = t_"ин" + 2 t_"мул" = 12 + 2 26 = 64 "нс" $

== Вывод

Было произведено наращивание сложного мультиплексора 64-1 на 8-1 каскадным способом

= Задание 2.2: Провести наращивание сложного мультиплексора 64-1 на 8-1 с помощью дешифратора

== Таблица переходов
#align(center)[
#tablex(
columns: 21,
inset: 4pt,
align: center + horizon,
[$E_n$],[$x_32$],[$x_16$],[$x_8$],[$x_4$],[$x_2$],[$x_1$],[$d_0$],[$d_1$],[$d_2$],[$d_3$],[$d_4$],[$d_5$],[$d_6$],[$d_7$],[$d_8$],[$...$],[$d_61$],[$d_62$],[$d_63$],[$F$],
[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$✘$],
[$1$],[$0$],[$0$],[$0$],[$0$],[$0$],[$0$],[$d_0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_0$],
[$1$],[$0$],[$0$],[$0$],[$0$],[$0$],[$1$],[$✘$],[$d_1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_1$],
[$1$],[$0$],[$0$],[$0$],[$0$],[$1$],[$0$],[$✘$],[$✘$],[$d_2$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_2$],
[$1$],[$0$],[$0$],[$0$],[$0$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$d_3$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_3$],
[$1$],[$0$],[$0$],[$0$],[$1$],[$0$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_4$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_4$],
[$1$],[$0$],[$0$],[$0$],[$1$],[$0$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_5$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_5$],
[$1$],[$0$],[$0$],[$0$],[$1$],[$1$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_6$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_6$],
[$1$],[$0$],[$0$],[$0$],[$1$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_7$],[$✘$],[$...$],[$✘$],[$✘$],[$✘$],[$d_7$],
[$1$],[$0$],[$0$],[$1$],[$0$],[$0$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$d_8$],[$...$],[$✘$],[$✘$],[$✘$],[$d_8$],
[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],[$...$],
[$1$],[$1$],[$1$],[$1$],[$1$],[$0$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$d_"61"$],[$✘$],[$✘$],[$d_"61"$],
[$1$],[$1$],[$1$],[$1$],[$1$],[$1$],[$0$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$d_"62"$],[$✘$],[$d_"62"$],
[$1$],[$1$],[$1$],[$1$],[$1$],[$1$],[$1$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$✘$],[$...$],[$✘$],[$✘$],[$d_"63"$],[$d_"63"$],
)
]
#pagebreak()
== Формула

$
F(E_n,  x_32, x_16, x_8, x_4, x_2, x_1,\
  d_0, d_1, d_2, d_3, d_4, d_5, d_6, d_7, d_8, d_9, d_10,
  d_11, d_12, d_13, d_14, d_15, d_16, d_17, d_18, d_19, d_20,\
  d_21, d_22, d_23, d_24, d_25, d_26, d_27, d_28, d_29, d_30,
  d_31, d_32, d_33, d_34, d_35, d_36, d_37, d_38, d_39, d_40,\
  d_41, d_42, d_43, d_44, d_45, d_46, d_47, d_48, d_49, d_50,
  d_51, d_52, d_53, d_54, d_55, d_56, d_57, d_58, d_59, d_60,\
  d_61, d_62, d_63) = E_n and\ and (
d_0 xb_32 xb_16 xb_8 xb_4 xb_2 xb_1 or
d_1 xb_32 xb_16 xb_8 xb_4 xb_2 x_1 or
d_2 xb_32 xb_16 xb_8 xb_4 x_2 xb_1 or\ or
d_3 xb_32 xb_16 xb_8 xb_4 x_2 x_1 or
d_4 xb_32 xb_16 xb_8 x_4 xb_2 xb_1 or
d_5 xb_32 xb_16 xb_8 x_4 xb_2 x_1 or\ or
d_6 xb_32 xb_16 xb_8 x_4 x_2 xb_1 or
d_7 xb_32 xb_16 xb_8 x_4 x_2 x_1 or
d_8 xb_32 xb_16 x_8 xb_4 xb_2 xb_1 or\ or
d_9 xb_32 xb_16 x_8 xb_4 xb_2 x_1 or
d_10 xb_32 xb_16 x_8 xb_4 x_2 xb_1 or
d_11 xb_32 xb_16 x_8 xb_4 x_2 x_1 or\ or
d_12 xb_32 xb_16 x_8 x_4 xb_2 xb_1 or
d_13 xb_32 xb_16 x_8 x_4 xb_2 x_1 or
d_14 xb_32 xb_16 x_8 x_4 x_2 xb_1 or\ or
d_15 xb_32 xb_16 x_8 x_4 x_2 x_1 or
d_16 xb_32 x_16 xb_8 xb_4 xb_2 xb_1 or
d_17 xb_32 x_16 xb_8 xb_4 xb_2 x_1 or\ or
d_18 xb_32 x_16 xb_8 xb_4 x_2 xb_1 or
d_19 xb_32 x_16 xb_8 xb_4 x_2 x_1 or
d_20 xb_32 x_16 xb_8 x_4 xb_2 xb_1 or\ or
d_21 xb_32 x_16 xb_8 x_4 xb_2 x_1 or
d_22 xb_32 x_16 xb_8 x_4 x_2 xb_1 or
d_23 xb_32 x_16 xb_8 x_4 x_2 x_1 or\ or
d_24 xb_32 x_16 x_8 xb_4 xb_2 xb_1 or
d_25 xb_32 x_16 x_8 xb_4 xb_2 x_1 or
d_26 xb_32 x_16 x_8 xb_4 x_2 xb_1 or\ or
d_27 xb_32 x_16 x_8 xb_4 x_2 x_1 or
d_28 xb_32 x_16 x_8 x_4 xb_2 xb_1 or
d_29 xb_32 x_16 x_8 x_4 xb_2 x_1 or\ or
d_30 xb_32 x_16 x_8 x_4 x_2 xb_1 or
d_31 xb_32 x_16 x_8 x_4 x_2 x_1 or
d_32 x_32 xb_16 xb_8 xb_4 xb_2 xb_1 or\ or
d_33 x_32 xb_16 xb_8 xb_4 xb_2 x_1 or
d_34 x_32 xb_16 xb_8 xb_4 x_2 xb_1 or
d_35 x_32 xb_16 xb_8 xb_4 x_2 x_1 or\ or
d_36 x_32 xb_16 xb_8 x_4 xb_2 xb_1 or
d_37 x_32 xb_16 xb_8 x_4 xb_2 x_1 or
d_38 x_32 xb_16 xb_8 x_4 x_2 xb_1 or\ or
d_39 x_32 xb_16 xb_8 x_4 x_2 x_1 or
d_40 x_32 xb_16 x_8 xb_4 xb_2 xb_1 or
d_41 x_32 xb_16 x_8 xb_4 xb_2 x_1 or\ or
d_42 x_32 xb_16 x_8 xb_4 x_2 xb_1 or
d_43 x_32 xb_16 x_8 xb_4 x_2 x_1 or
d_44 x_32 xb_16 x_8 x_4 xb_2 xb_1 or\ or
d_45 x_32 xb_16 x_8 x_4 xb_2 x_1 or
d_46 x_32 xb_16 x_8 x_4 x_2 xb_1 or
d_47 x_32 xb_16 x_8 x_4 x_2 x_1 or\ or
d_48 x_32 x_16 xb_8 xb_4 xb_2 xb_1 or
d_49 x_32 x_16 xb_8 xb_4 xb_2 x_1 or
d_50 x_32 x_16 xb_8 xb_4 x_2 xb_1 or\ or
d_51 x_32 x_16 xb_8 xb_4 x_2 x_1 or
d_52 x_32 x_16 xb_8 x_4 xb_2 xb_1 or
d_53 x_32 x_16 xb_8 x_4 xb_2 x_1 or\ or
d_54 x_32 x_16 xb_8 x_4 x_2 xb_1 or
d_55 x_32 x_16 xb_8 x_4 x_2 x_1 or
d_56 x_32 x_16 x_8 xb_4 xb_2 xb_1 or\ or
d_57 x_32 x_16 x_8 xb_4 xb_2 x_1 or
d_58 x_32 x_16 x_8 xb_4 x_2 xb_1 or
d_59 x_32 x_16 x_8 xb_4 x_2 x_1 or\ or
d_60 x_32 x_16 x_8 x_4 xb_2 xb_1 or
d_61 x_32 x_16 x_8 x_4 xb_2 x_1 or
d_62 x_32 x_16 x_8 x_4 x_2 xb_1 or\ or
d_63 x_32 x_16 x_8 x_4 x_2 x_1
)

$
#pagebreak()
== Схема

#img(image("5.png", width:85%), [Схема нарощенного мультиплексора])

== Временная диаграмма

#img(image("6.png", width:80%), [Временная диаграмма нарощенного мультиплексора])

== Практические и теоретические задержки

Практическая задержка 100 нс.

Теоретически задержки могут возникать из-за дешифратора мультиплексора и дизъюнкторов.

$ t_"деш" = 41 "нс" $
$ t_"мул" = 26 "нс" $
$ t_"диз1" = 60 "нс" $
$ t_"диз2" = 4 "нс" $
$ T =  t_"деш" +  t_"мул" + t_"диз" + t_"диз2" = 41 + 26 + 60 + 4 = 131 "нс" $

== Вывод

Было произведено наращивание сложного мультиплексора 64-1 на 8-1 с помощью дешифратора













