Условие задачи
Разработать схему управления феном, предусматривающую следующие режимы его работы.
|
Положение переключателя |
Схема включения двух спиралей |
|
0 |
Нагревательные спирали отключены |
|
1 |
Спирали включены последовательно |
|
2 |
Включена только длинная спираль |
|
3 |
Включена только короткая спираль |
|
4 |
Спирали включены параллельно |
Решение
|
№ |
X1 |
X2 |
X3 |
X4 |
Y0 |
Y1 |
Y2 |
Y3 |
Y4 |
|
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
2 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
|
3 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
|
4 |
0 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
|
5 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|
6 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
|
7 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
|
8 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
|
9 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
|
10 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
|
11 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
|
12 |
1 |
0 |
1 |
1 |
- |
- |
- |
- |
- |
|
13 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
|
14 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
|
15 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
|
16 |
1 |
1 |
1 |
1 |
- |
- |
- |
- |
- |
Y0 = ¬X1 ∧ ¬X2 ∧ ¬X3 ∧ ¬X4 ∨ ¬X1 ∧ ¬X2 ∧ ¬X3 ∧ X4 ∨ ¬X1 ∧ ¬X2 ∧ X3 ∧ ¬X4 ∨ ¬X1 ∧ ¬X2 ∧ X3 ∧ X4 ∨ ¬X1 ∧ X2 ∧ ¬X3 ∧ ¬X4 =
= ¬X1∧ ¬X2∧ (¬X3∧ ¬X4∨ ¬X3∧ X4) ∨ ¬X1∧ ¬X2 ∧ (X3∧ ¬X4∨ X3∧ X4) ∨(¬X1∧ X2∧¬X3∧ ¬X4)=
= ¬X1∧ ¬X2∧ ¬X3∨ ¬X1∧ ¬X2∧ X3∨ (¬X1∧ X2 ∧¬X3∧ ¬X4)=
=¬X1∧ ¬X2∧ (¬X3 ∨X3) ∨ (¬X1 ∧X2 ∧¬X3∧ ¬X4) =
= ¬X1∧ ¬X2∨ (¬X1 ∧X2∧ ¬X3∧ ¬X4) =
=¬X1∧ (¬X2∨ X2∧ ¬X3∧ ¬X4)
|
X1 |
X2 |
X3 |
X4 |
¬X1 |
¬X2 |
¬X3 |
¬X4 |
X2∧¬X3 |
X2∧¬X3∧¬X4 |
¬X2∨X2∧¬X3∧¬X4 |
¬X1∧(¬X2∨X2∧¬X3∧¬X4) |
|
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
|
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
|
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
|
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
|
0 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
Y1 = ¬ X1 ∧ X2 ∧ X3 ∧ ¬X4
|
X1 |
X2 |
X3 |
X4 |
¬ X1 |
¬ X4 |
¬ X1∧ X2 |
¬X1∧X2∧X3 |
¬X1∧X2∧X3∧ ¬X4 |
|
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
Y2 = ¬X1 ∧ X2 ∧ ¬X3 ∧ X4 ∨ ¬X1 ∧ X2 ∧ X3 ∧ X4 = ¬X1 ∧ X2 ∧ (¬X3 ∧X4∨ X3 ∧ X4 ) = ¬X1 ∧ X2 ∧ X4
|
X1 |
X2 |
X3 |
X4 |
¬X1 |
¬X1∧X2 |
¬X1∧X2∧X4 |
|
0 |
1 |
0 |
1 |
1 |
1 |
1 |
|
0 |
1 |
1 |
1 |
1 |
1 |
1 |
Y3 = X1 ∧ ¬X2 ∧ ¬X3 ∧ ¬X4 ∨ X1 ∧ ¬X2 ∧ ¬X3 ∧ X4 ∨ X1 ∧ ¬X2 ∧ X3 ∧ ¬X4 ∨ X1 ∧ X2 ∧ ¬X3 ∧ ¬X4 ∨ X1 ∧ X2 ∧ X3 ∧ ¬X4 =
= ¬X3∧ ¬X4∧( X1∧ ¬X2∨ X1∧ X2) ∨ X3∧ ¬X4∧( X1∧ ¬X2∨ X1∧ X2) ∨( X1∧ ¬X2∧ ¬X3 ∧X4)=
= X1∧ ¬X3 ∧¬X4∨ X1∧ X3∧ ¬X4∨ X1∧ ¬X2∧ ¬X3∧ X4=
= X1∧ (¬X4 ∨¬X2∧ ¬X3∧ X4)
|
X1 |
X2 |
X3 |
X4 |
¬X2 |
¬X3 |
¬X4 |
¬X2∧ ¬X3 |
¬X2∧ ¬X3∧ X4 |
¬X4 ∨¬X2∧ ¬X3∧ X4 |
X1∧ (¬X4 ∨¬X2∧ ¬X3∧ X4) |
|
1 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
|
1 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
|
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
|
1 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
|
1 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
Y4 = X1 ∧ X2 ∧ ¬X3 ∧ X4
|
X1 |
X2 |
X3 |
X4 |
¬X3 |
X1∧X2 |
X1∧X2∧¬X3 |
X1∧X2∧¬X3∧X4 |
|
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |