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Таблица истинности ONLINE
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Таблица истинности для функции X∧(Y∨Z)∨Y∧¬X∧¬Z∨¬Z∧(¬Y∨X):
Промежуточные таблицы истинности:Y∨Z: ¬Y: (¬Y)∨X: | Y | X | ¬Y | (¬Y)∨X | | 0 | 0 | 1 | 1 | | 0 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | | 1 | 1 | 0 | 1 |
¬X: ¬Z: X∧(Y∨Z): | X | Y | Z | Y∨Z | X∧(Y∨Z) | | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 1 | 1 | 0 | | 1 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 |
Y∧(¬X): | Y | X | ¬X | Y∧(¬X) | | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 0 | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 0 |
(Y∧(¬X))∧(¬Z): | Y | X | Z | ¬X | Y∧(¬X) | ¬Z | (Y∧(¬X))∧(¬Z) | | 0 | 0 | 0 | 1 | 0 | 1 | 0 | | 0 | 0 | 1 | 1 | 0 | 0 | 0 | | 0 | 1 | 0 | 0 | 0 | 1 | 0 | | 0 | 1 | 1 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 1 | 1 | 1 | 1 | | 1 | 0 | 1 | 1 | 1 | 0 | 0 | | 1 | 1 | 0 | 0 | 0 | 1 | 0 | | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
(¬Z)∧((¬Y)∨X): | Z | Y | X | ¬Z | ¬Y | (¬Y)∨X | (¬Z)∧((¬Y)∨X) | | 0 | 0 | 0 | 1 | 1 | 1 | 1 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | | 0 | 1 | 0 | 1 | 0 | 0 | 0 | | 0 | 1 | 1 | 1 | 0 | 1 | 1 | | 1 | 0 | 0 | 0 | 1 | 1 | 0 | | 1 | 0 | 1 | 0 | 1 | 1 | 0 | | 1 | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 0 | 0 | 1 | 0 |
(X∧(Y∨Z))∨((Y∧(¬X))∧(¬Z)): | X | Y | Z | Y∨Z | X∧(Y∨Z) | ¬X | Y∧(¬X) | ¬Z | (Y∧(¬X))∧(¬Z) | (X∧(Y∨Z))∨((Y∧(¬X))∧(¬Z)) | | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 |
((X∧(Y∨Z))∨((Y∧(¬X))∧(¬Z)))∨((¬Z)∧((¬Y)∨X)): | X | Y | Z | Y∨Z | X∧(Y∨Z) | ¬X | Y∧(¬X) | ¬Z | (Y∧(¬X))∧(¬Z) | (X∧(Y∨Z))∨((Y∧(¬X))∧(¬Z)) | ¬Z | ¬Y | (¬Y)∨X | (¬Z)∧((¬Y)∨X) | ((X∧(Y∨Z))∨((Y∧(¬X))∧(¬Z)))∨((¬Z)∧((¬Y)∨X)) | | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 |
Общая таблица истинности:| X | Y | Z | Y∨Z | ¬Y | (¬Y)∨X | ¬X | ¬Z | X∧(Y∨Z) | Y∧(¬X) | (Y∧(¬X))∧(¬Z) | (¬Z)∧((¬Y)∨X) | (X∧(Y∨Z))∨((Y∧(¬X))∧(¬Z)) | X∧(Y∨Z)∨Y∧¬X∧¬Z∨¬Z∧(¬Y∨X) | | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 |
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