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Таблица истинности ONLINE
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Таблица истинности для функции ¬(X|Z∨Y)∧(¬Y∨(X⊕Z)):
Промежуточные таблицы истинности:X|Z: (X|Z)∨Y: | X | Z | Y | X|Z | (X|Z)∨Y | | 0 | 0 | 0 | 1 | 1 | | 0 | 0 | 1 | 1 | 1 | | 0 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 1 | 1 | | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | | 1 | 1 | 1 | 0 | 1 |
X⊕Z: ¬Y: (¬Y)∨(X⊕Z): | Y | X | Z | ¬Y | X⊕Z | (¬Y)∨(X⊕Z) | | 0 | 0 | 0 | 1 | 0 | 1 | | 0 | 0 | 1 | 1 | 1 | 1 | | 0 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 0 | 1 | 1 | | 1 | 1 | 1 | 0 | 0 | 0 |
¬((X|Z)∨Y): | X | Z | Y | X|Z | (X|Z)∨Y | ¬((X|Z)∨Y) | | 0 | 0 | 0 | 1 | 1 | 0 | | 0 | 0 | 1 | 1 | 1 | 0 | | 0 | 1 | 0 | 1 | 1 | 0 | | 0 | 1 | 1 | 1 | 1 | 0 | | 1 | 0 | 0 | 1 | 1 | 0 | | 1 | 0 | 1 | 1 | 1 | 0 | | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 1 | 0 | 1 | 0 |
(¬((X|Z)∨Y))∧((¬Y)∨(X⊕Z)): | X | Z | Y | X|Z | (X|Z)∨Y | ¬((X|Z)∨Y) | ¬Y | X⊕Z | (¬Y)∨(X⊕Z) | (¬((X|Z)∨Y))∧((¬Y)∨(X⊕Z)) | | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
Общая таблица истинности:| X | Z | Y | X|Z | (X|Z)∨Y | X⊕Z | ¬Y | (¬Y)∨(X⊕Z) | ¬((X|Z)∨Y) | ¬(X|Z∨Y)∧(¬Y∨(X⊕Z)) | | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
Совершенная дизъюнктивная нормальная форма (СДНФ):
По таблице истинности: | X | Z | Y | F | | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 0 |
F сднф = X∧Z∧¬Y Логическая cхема:
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