Составьте таблицу истинности для логического выражения:
1) ;
2) (A ∨ B) ∧ C;
3) (A ∧ B) ⇒ C;
4) (A ⇒ B) ∧ (B ∨ C);
5) .
A | B | ||
---|---|---|---|
1 | 0 | 1 | 0 |
0 | 1 | 1 | 1 |
1 | 0 | 0 | 1 |
0 | 1 | 0 | 1 |
(A ∨ B) ∧ C
A | B | C | A ∨ B | (A ∨ B) ∧ C |
---|---|---|---|---|
1 | 1 | 1 | 1 | 1 |
1 | 1 | 0 | 1 | 0 |
1 | 0 | 1 | 1 | 1 |
1 | 0 | 0 | 1 | 0 |
0 | 1 | 1 | 1 | 1 |
0 | 1 | 0 | 1 | 0 |
0 | 0 | 1 | 1 | 1 |
0 | 0 | 0 | 0 | 0 |
(A ∧ B) ⇒ C
A | B | C | A ∧ B | (A ∧ B) ⇒ C |
---|---|---|---|---|
1 | 1 | 1 | 1 | 1 |
1 | 1 | 0 | 1 | 0 |
1 | 0 | 1 | 0 | 1 |
1 | 0 | 0 | 0 | 1 |
0 | 1 | 1 | 0 | 1 |
0 | 1 | 0 | 0 | 1 |
0 | 0 | 1 | 0 | 1 |
0 | 0 | 0 | 0 | 1 |
(A ⇒ B) ∧ (B ∨ C)
A | B | C | A ⇒ B | B ∨ C | (A ⇒ B) ∧ (B ∨ C) |
---|---|---|---|---|---|
1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 0 | 1 | 1 | 1 |
1 | 0 | 1 | 0 | 1 | 0 |
1 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 1 | 1 | 1 | 1 |
0 | 1 | 0 | 1 | 1 | 1 |
0 | 0 | 1 | 1 | 1 | 1 |
0 | 0 | 0 | 1 | 0 | 0 |
A | B | C | |||
---|---|---|---|---|---|
1 | 1 | 1 | 0 | 0 | 1 |
1 | 1 | 0 | 1 | 1 | 1 |
1 | 0 | 1 | 0 | 0 | 1 |
1 | 0 | 0 | 1 | 1 | 0 |
0 | 1 | 1 | 0 | 0 | 1 |
0 | 1 | 0 | 1 | 0 | 1 |
0 | 0 | 1 | 0 | 0 | 1 |
0 | 0 | 0 | 1 | 0 | 1 |