मराठी

The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ______ -

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प्रश्न

The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ______ 

पर्याय

  • p

  • q

  • ∼q

  • ∼p

MCQ
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उत्तर

The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ∼p.

Explanation:

∼(p ∨ q) ∨ (∼p ∧ q)

≡ (∼p ∧ ∼q) ∨ (∼p ∧ q) ...........[De Morgan's law]

≡ ∼p ∧ (∼q ∨ q) .............. (Distributive law]

≡ ∼p ∧ T ................. [Complement law]

≡ ∼p .................... [Identity law]

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