Содержание
Задание на курсовую работу……………………………………………………………………..…………….3
Введение………………………………………………………………………….……………………………………….4
Этапы проектирования……………………………………………………………………………………………..4
Список литературы……………………………………………………………………………………………..……..9
Схема в пакете Electronic WorkBench……………………………………………………………..….……10
Выдержка из текста работы
- Абстрактный синтез
- Автомат Мили
- Структурный синтез
- Кодирование состояний автомата
- Таблица кодирования входных сигналов
- Таблица кодирования выходных сигналов
- Таблица переходов и выходов абстрактного автомата
Абстрактный синтез
Автомат Мили
|
Таблица № 1 |
||||||||||||||||
|
ai xj |
a0 |
a1 |
a2 |
a3 |
a4 |
a5 |
a6 |
a7 |
a8 |
a9 |
a10 |
a11 |
a12 |
a13 |
a14 |
|
|
x1 |
a1 y1 |
a1 y1 |
a2 y1 |
a3 y1 |
a0 y0 |
a0 y0 |
a6 y1 |
a7 y1 |
a8 y1 |
a9 y1 |
a10 y1 |
a11 y1 |
a12 y1 |
a0 y0 |
a0 y0 |
|
|
x2 |
a2 y1 |
a1 y1 |
a2 y1 |
a3 y1 |
a0 y0 |
a0 y0 |
a6 y1 |
a7 y1 |
a8 y1 |
a9 y1 |
a10 y1 |
a11 y1 |
a12 y1 |
a0 y0 |
a0 y0 |
|
|
x3 |
a0 y0 |
a2 y1 |
a3 y1 |
a4 y4 |
a0 y0 |
a0 y0 |
a7 y1 |
a8 y1 |
a9 y1 |
a10 y1 |
a11 y1 |
a12 y1 |
a13 y2 |
a0 y0 |
a0 y0 |
|
|
x4 |
a0 y0 |
a3 y1 |
a4 y4 |
a5 y5 |
a0 y0 |
a0 y0 |
a8 y1 |
a9 y1 |
a10 y1 |
a11 y1 |
a12 y1 |
a13 y1 |
a14 y3 |
a0 y0 |
a0 y0 |
Запишем алгоритм работы автомата Мили, используя графический способ задания автомата.
Рисунок № 1
Структурный синтез
Кодирование состояний автомата
|
Таблица № 2 |
|||||
|
Qk ai |
Q1 |
Q2 |
Q3 |
Q4 |
|
|
a0 |
0 |
0 |
0 |
0 |
|
|
a1 |
0 |
0 |
0 |
1 |
|
|
a2 |
0 |
0 |
1 |
0 |
|
|
a3 |
0 |
0 |
1 |
1 |
|
|
a4 |
0 |
1 |
0 |
0 |
|
|
a5 |
0 |
1 |
0 |
1 |
|
|
а6 |
0 |
1 |
1 |
0 |
|
|
а7 |
0 |
1 |
1 |
1 |
|
|
а8 |
1 |
0 |
0 |
0 |
|
|
а9 |
1 |
0 |
0 |
1 |
|
|
а10 |
1 |
0 |
1 |
0 |
|
|
а11 |
1 |
0 |
1 |
1 |
|
|
а12 |
1 |
1 |
0 |
0 |
|
|
а13 |
1 |
1 |
0 |
1 |
|
|
а14 |
1 |
1 |
1 |
0 |
Таблица кодирования входных сигналов
|
Таблица № 3 |
|||
|
бm xj |
б1 |
б2 |
|
|
x1 |
0 |
0 |
|
|
x2 |
0 |
1 |
|
|
x3 |
1 |
0 |
|
|
x4 |
1 |
1 |
Таблица кодирования выходных сигналов
|
Таблица № 4 |
||||
|
zp ys |
z1 |
z2 |
z3 |
|
|
y0 |
0 |
0 |
0 |
|
|
y1 |
0 |
0 |
1 |
|
|
y2 |
0 |
1 |
0 |
|
|
y3 |
0 |
1 |
1 |
|
|
y4 |
1 |
0 |
0 |
|
|
y5 |
1 |
0 |
1 |
Таблица переходов и выходов абстрактного автомата
|
Таблица № 5 |
|||||||||
|
ai xj |
a0 0000 |
a1 0001 |
a2 0010 |
a3 0011 |
a4 0100 |
a5 0101 |
a6 0110 |
a7 0111 |
|
|
00 |
0001 001 |
0001 001 |
0010 001 |
0011 001 |
0000 000 |
0000 000 |
0110 001 |
0111 001 |
|
|
01 |
0010 001 |
0001 001 |
0010 001 |
0011 001 |
0000 000 |
0000 000 |
0110 001 |
0111 001 |
|
|
10 |
0000 000 |
0010 001 |
0011 001 |
0100 100 |
0000 000 |
0000 000 |
0111 001 |
1000 001 |
|
|
11 |
0000 000 |
0011 001 |
0100 100 |
0101 101 |
0000 000 |
0000 000 |
1000 001 |
1001 001 |
|
Таблица № 5 (продолжение) |
||||||||
|
ai бm |
a8 1000 |
a9 1001 |
a10 1010 |
a11 1011 |
a12 1100 |
a13 1101 |
a14 1110 |
|
|
00 |
1000 001 |
1001 001 |
1010 001 |
1011 001 |
1100 001 |
0000 000 |
0000 000 |
|
|
01 |
1000 001 |
1001 001 |
110 001 |
1011 001 |
1100 001 |
0000 000 |
0000 000 |
|
|
10 |
1001 001 |
1010 001 |
1011 001 |
1100 010 |
1101 010 |
0000 000 |
0000 000 |
|
|
11 |
1010 001 |
1011 001 |
1100 001 |
1101 001 |
1110 011 |
0000 000 |
0000 000 |
|
Таблица № 6 |
|||||||||||||||||
|
б1 |
б2 |
Q1 |
Q2 |
Q3 |
Q4 |
Q1 (t+1) |
Q2 (t+1) |
Q3 (t+1) |
Q4 (t+1) |
z1 |
z2 |
z3 |
T1 |
T2 |
T3 |
T4 |
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|
|
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
|
|
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
|
|
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
|
|
0 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
|
|
0 |
0 |
1 |
1 |
1 |
1 |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
|
|
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
|
|
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
|
|
0 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
|
|
0 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
|
0 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
|
|
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
|
|
0 |
1 |
1 |
1 |
1 |
1 |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
|
|
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
|
|
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|
|
1 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
|
|
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
|
|
1 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
|
|
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|
|
1 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
|
|
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|
|
1 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
|
|
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|
|
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
|
|
1 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
|
|
1 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
|
|
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
|
|
1 |
0 |
1 |
1 |
1 |
1 |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
|
|
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
|
|
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
|
|
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
|
|
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
|
|
1 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
|
|
1 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
|
|
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
|
|
1 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
|
|
1 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
|
|
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
|
|
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
|
|
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
|
|
1 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
|
|
1 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
|
|
1 |
1 |
1 |
1 |
1 |
1 |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
— |
|
Т1 Таблица № 7 |
|||||||||||||||||
|
Qk бm |
0000 |
0001 |
0011 |
0010 |
0110 |
0111 |
0101 |
0100 |
1100 |
1101 |
1111 |
1110 |
1010 |
1011 |
1001 |
1000 |
|
|
00 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
— |
1 |
0 |
0 |
0 |
0 |
|
|
01 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
— |
1 |
0 |
0 |
0 |
0 |
|
|
11 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
— |
1 |
0 |
0 |
0 |
0 |
|
|
10 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
— |
1 |
0 |
0 |
0 |
0 |
|
Т2 Таблица № 8 |
|||||||||||||||||
|
Qk бm |
0000 |
0001 |
0011 |
0010 |
0110 |
0111 |
0101 |
0100 |
1100 |
1101 |
1111 |
1110 |
1010 |
1011 |
1001 |
1000 |
|
|
00 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
— |
1 |
0 |
0 |
0 |
0 |
|
|
01 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
— |
1 |
0 |
0 |
0 |
0 |
|
|
11 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
— |
1 |
1 |
1 |
0 |
0 |
|
|
10 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
— |
1 |
0 |
1 |
0 |
0 |
|
Т3 Таблица № 9 |
|||||||||||||||||
|
Qk бm |
0000 |
0001 |
0011 |
0010 |
0110 |
0111 |
0101 |
0100 |
1100 |
1101 |
1111 |
1110 |
1010 |
1011 |
1001 |
1000 |
|
|
00 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
— |
1 |
0 |
0 |
0 |
0 |
|
|
01 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
— |
1 |
0 |
0 |
0 |
0 |
|
|
11 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
— |
1 |
1 |
1 |
1 |
1 |
|
|
10 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
— |
1 |
0 |
1 |
1 |
0 |
|
Т4 Таблица № 10 |
|||||||||||||||||
|
Qk бm |
0000 |
0001 |
0011 |
0010 |
0110 |
0111 |
0101 |
0100 |
1100 |
1101 |
1111 |
1110 |
1010 |
1011 |
1001 |
1000 |
|
|
00 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
01 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
11 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
10 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
— |
0 |
1 |
1 |
1 |
1 |
|
Z1 Таблица № 11 |
|||||||||||||||||
|
Qk бm |
0000 |
0001 |
0011 |
0010 |
0110 |
0111 |
0101 |
0100 |
1100 |
1101 |
1111 |
1110 |
1010 |
1011 |
1001 |
1000 |
|
|
00 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
01 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
11 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
10 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
— |
0 |
0 |
0 |
0 |
0 |
|
Z2 Таблица № 12 |
|||||||||||||||||
|
Qk бm |
0000 |
0001 |
0011 |
0010 |
0110 |
0111 |
0101 |
0100 |
1100 |
1101 |
1111 |
1110 |
1010 |
1011 |
1001 |
1000 |
|
|
00 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
01 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
11 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
— |
0 |
0 |
0 |
0 |
0 |
|
|
10 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
— |
0 |
0 |
0 |
0 |
0 |
|
Z3 Таблица № 13 |
|||||||||||||||||
|
Qk бm |
0000 |
0001 |
0011 |
0010 |
0110 |
0111 |
0101 |
0100 |
1100 |
1101 |
1111 |
1110 |
1010 |
1011 |
1001 |
1000 |
|
|
00 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
— |
0 |
1 |
1 |
1 |
1 |
|
|
01 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
— |
0 |
1 |
1 |
1 |
0 |
|
|
11 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
— |
0 |
1 |
1 |
1 |
1 |
|
|
10 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
— |
0 |
1 |
1 |
1 |
1 |
Записываем выражения для функции возбуждения и выходов.
T1=б1 б2Q1Q2Q3+ б1Q1Q2Q3Q4+Q1Q2Q4+Q1Q2Q3=
=Q2 (б1Q1 (Q3 (б2+Q4)) +Q1 (Q4+Q3))
T2= б1Q1Q2Q3Q4+ б1 б2 Q1Q3+ +б1Q1Q2Q4+Q1Q2Q3+Q1Q2Q4+Q1Q2Q3+ б1 б2Q1Q3+
+б1 Q1Q2Q3Q4=
=б1 Q3 (б2+Q2Q4) +Q2
T3= б1 б2Q1Q2Q3Q4+ б1Q1Q2Q4+ б1 б2Q1+ +б1Q1Q2Q3Q4+ б1 б2Q1Q2Q3Q4+Q1Q2Q3+ б1 б2Q1Q2+ +б1Q1Q2Q4=
=б1Q1 (б2+Q2Q3Q4) + б2Q3Q4+Q1 (б1Q2 (б2+Q4) +Q2Q3)
T4= б1 б2Q1Q2Q3Q4+ б1 б2Q1+ б1 б2Q1+Q1Q2Q3Q4+ +б1 б2Q1Q2Q3+Q1Q2Q4+ б1 б2Q1Q2=
= б1 б2Q1 (Q2Q3+Q2) + б2Q1 ( б1Q2Q3Q4+ +б1) +Q2Q4 (Q1Q3+Q1)
z1= б1Q1Q2Q3Q4+ б1 б2Q1Q2Q3=
= б1Q1Q2 (Q3 (Q4+ б2))
z2= б1Q1Q2Q2Q4
z3= б1Q1Q2+ б2Q1Q2Q4+ б1 б2Q1Q3Q4+Q1Q2Q3+
+ б1Q1Q2Q3Q4+ б2Q1Q2Q3Q4=
=Q1Q2Q3Q4 ( б1+б2) + Q1 (Q2 ( б1+ б2Q4)) +Q3 (б1 б2Q4+Q2)
