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प्रश्न
The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ______
पर्याय
p
q
∼q
∼p
MCQ
रिकाम्या जागा भरा
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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