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