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