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