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