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