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