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Таблица истинности ONLINE
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Таблица истинности для функции (A∧B∧¬(C∨D)∨E)∨(E∧A↓¬(D∨E)):
Общая таблица истинности:| A | B | C | D | E | C∨D | ¬(C∨D) | A∧B | (A∧B)∧(¬(C∨D)) | ((A∧B)∧(¬(C∨D)))∨E | D∨E | ¬(D∨E) | A↓(¬(D∨E)) | E∧(A↓(¬(D∨E))) | (A∧B∧¬(C∨D)∨E)∨(E∧A↓¬(D∨E)) | | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 |
Совершенная дизъюнктивная нормальная форма (СДНФ):
По таблице истинности: | A | B | C | D | E | F | | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 0 | 1 | 1 | | 0 | 0 | 0 | 1 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | 1 | | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 1 | | 0 | 0 | 1 | 1 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | 1 | | 0 | 1 | 0 | 0 | 0 | 0 | | 0 | 1 | 0 | 0 | 1 | 1 | | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 1 | 0 | 0 | 0 | | 0 | 1 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 0 | 1 | 1 | | 1 | 0 | 0 | 1 | 0 | 0 | | 1 | 0 | 0 | 1 | 1 | 1 | | 1 | 0 | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 1 | 1 | | 1 | 0 | 1 | 1 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 0 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 1 | 0 | 0 | 0 | | 1 | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 1 | 1 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 |
F сднф = ¬A∧¬B∧¬C∧¬D∧E ∨ ¬A∧¬B∧¬C∧D∧E ∨ ¬A∧¬B∧C∧¬D∧E ∨ ¬A∧¬B∧C∧D∧E ∨ ¬A∧B∧¬C∧¬D∧E ∨ ¬A∧B∧¬C∧D∧E ∨ ¬A∧B∧C∧¬D∧E ∨ ¬A∧B∧C∧D∧E ∨ A∧¬B∧¬C∧¬D∧E ∨ A∧¬B∧¬C∧D∧E ∨ A∧¬B∧C∧¬D∧E ∨ A∧¬B∧C∧D∧E ∨ A∧B∧¬C∧¬D∧¬E ∨ A∧B∧¬C∧¬D∧E ∨ A∧B∧¬C∧D∧E ∨ A∧B∧C∧¬D∧E ∨ A∧B∧C∧D∧E
Совершенная конъюнктивная нормальная форма (СКНФ):
По таблице истинности: | A | B | C | D | E | F | | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 0 | 1 | 1 | | 0 | 0 | 0 | 1 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | 1 | | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 1 | | 0 | 0 | 1 | 1 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | 1 | | 0 | 1 | 0 | 0 | 0 | 0 | | 0 | 1 | 0 | 0 | 1 | 1 | | 0 | 1 | 0 | 1 | 0 | 0 | | 0 | 1 | 0 | 1 | 1 | 1 | | 0 | 1 | 1 | 0 | 0 | 0 | | 0 | 1 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 0 | 1 | 1 | | 1 | 0 | 0 | 1 | 0 | 0 | | 1 | 0 | 0 | 1 | 1 | 1 | | 1 | 0 | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 1 | 1 | | 1 | 0 | 1 | 1 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | 1 | | 1 | 1 | 0 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 1 | 0 | 0 | 0 | | 1 | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 1 | 1 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 |
F скнф = (A∨B∨C∨D∨E) ∧ (A∨B∨C∨¬D∨E) ∧ (A∨B∨¬C∨D∨E) ∧ (A∨B∨¬C∨¬D∨E) ∧ (A∨¬B∨C∨D∨E) ∧ (A∨¬B∨C∨¬D∨E) ∧ (A∨¬B∨¬C∨D∨E) ∧ (A∨¬B∨¬C∨¬D∨E) ∧ (¬A∨B∨C∨D∨E) ∧ (¬A∨B∨C∨¬D∨E) ∧ (¬A∨B∨¬C∨D∨E) ∧ (¬A∨B∨¬C∨¬D∨E) ∧ (¬A∨¬B∨C∨¬D∨E) ∧ (¬A∨¬B∨¬C∨D∨E) ∧ (¬A∨¬B∨¬C∨¬D∨E)
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