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Таблица истинности ONLINE
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Таблица истинности для функции ((X1≡X2)∧(X3≡X4))∨(¬(X1≡X2)∧¬(X3≡X4))≡0:
Промежуточные таблицы истинности:X1≡X2: X3≡X4: (X1≡X2)∧(X3≡X4): | X1 | X2 | X3 | X4 | X1≡X2 | X3≡X4 | (X1≡X2)∧(X3≡X4) | | 0 | 0 | 0 | 0 | 1 | 1 | 1 | | 0 | 0 | 0 | 1 | 1 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | | 0 | 1 | 0 | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | 0 | 0 | | 0 | 1 | 1 | 0 | 0 | 0 | 0 | | 0 | 1 | 1 | 1 | 0 | 1 | 0 | | 1 | 0 | 0 | 0 | 0 | 1 | 0 | | 1 | 0 | 0 | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 0 | 1 | 0 | | 1 | 1 | 0 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 1 | 1 | 0 | 0 | | 1 | 1 | 1 | 0 | 1 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
¬(X1≡X2): | X1 | X2 | X1≡X2 | ¬(X1≡X2) | | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 1 | | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 0 |
¬(X3≡X4): | X3 | X4 | X3≡X4 | ¬(X3≡X4) | | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 1 | | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 0 |
(¬(X1≡X2))∧(¬(X3≡X4)): | X1 | X2 | X3 | X4 | X1≡X2 | ¬(X1≡X2) | X3≡X4 | ¬(X3≡X4) | (¬(X1≡X2))∧(¬(X3≡X4)) | | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 |
((X1≡X2)∧(X3≡X4))∨((¬(X1≡X2))∧(¬(X3≡X4))): | X1 | X2 | X3 | X4 | X1≡X2 | X3≡X4 | (X1≡X2)∧(X3≡X4) | X1≡X2 | ¬(X1≡X2) | X3≡X4 | ¬(X3≡X4) | (¬(X1≡X2))∧(¬(X3≡X4)) | ((X1≡X2)∧(X3≡X4))∨((¬(X1≡X2))∧(¬(X3≡X4))) | | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 |
(((X1≡X2)∧(X3≡X4))∨((¬(X1≡X2))∧(¬(X3≡X4))))≡0: | X1 | X2 | X3 | X4 | X1≡X2 | X3≡X4 | (X1≡X2)∧(X3≡X4) | X1≡X2 | ¬(X1≡X2) | X3≡X4 | ¬(X3≡X4) | (¬(X1≡X2))∧(¬(X3≡X4)) | ((X1≡X2)∧(X3≡X4))∨((¬(X1≡X2))∧(¬(X3≡X4))) | (((X1≡X2)∧(X3≡X4))∨((¬(X1≡X2))∧(¬(X3≡X4))))≡0 | | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 |
Общая таблица истинности:| X1 | X2 | X3 | X4 | X1≡X2 | X3≡X4 | (X1≡X2)∧(X3≡X4) | ¬(X1≡X2) | ¬(X3≡X4) | (¬(X1≡X2))∧(¬(X3≡X4)) | ((X1≡X2)∧(X3≡X4))∨((¬(X1≡X2))∧(¬(X3≡X4))) | ((X1≡X2)∧(X3≡X4))∨(¬(X1≡X2)∧¬(X3≡X4))≡0 | | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 |
Совершенная дизъюнктивная нормальная форма (СДНФ):
По таблице истинности: | X1 | X2 | X3 | X4 | F | | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | | 0 | 0 | 1 | 0 | 1 | | 0 | 0 | 1 | 1 | 0 | | 0 | 1 | 0 | 0 | 1 | | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | | 1 | 0 | 1 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 1 | 0 |
F сднф = ¬X1∧¬X2∧¬X3∧X4 ∨ ¬X1∧¬X2∧X3∧¬X4 ∨ ¬X1∧X2∧¬X3∧¬X4 ∨ ¬X1∧X2∧X3∧X4 ∨ X1∧¬X2∧¬X3∧¬X4 ∨ X1∧¬X2∧X3∧X4 ∨ X1∧X2∧¬X3∧X4 ∨ X1∧X2∧X3∧¬X4 Логическая cхема:
Совершенная конъюнктивная нормальная форма (СКНФ):
По таблице истинности: | X1 | X2 | X3 | X4 | F | | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | | 0 | 0 | 1 | 0 | 1 | | 0 | 0 | 1 | 1 | 0 | | 0 | 1 | 0 | 0 | 1 | | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | | 1 | 0 | 1 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 1 | 0 |
F скнф = (X1∨X2∨X3∨X4) ∧ (X1∨X2∨¬X3∨¬X4) ∧ (X1∨¬X2∨X3∨¬X4) ∧ (X1∨¬X2∨¬X3∨X4) ∧ (¬X1∨X2∨X3∨¬X4) ∧ (¬X1∨X2∨¬X3∨X4) ∧ (¬X1∨¬X2∨X3∨X4) ∧ (¬X1∨¬X2∨¬X3∨¬X4) Логическая cхема:
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