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Question
The Boolean expression (p ∧∼ q) ⇒ (q ∨∼ p) is equivalent to ______.
Options
∼ q ⇒ p
p ⇒ q
p ⇒ ∼ q
q ⇒ p
MCQ
Fill in the Blanks
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Solution
The Boolean expression (p ∧ ∼ q) ⇒ (q ∨ ∼ p) is equivalent to p ⇒ q.
Explanation:
(p ∧∼ q) ⇒ (q ∨∼ p)
= (∼ p ∨ q) ∨ (q ∨ ∼ p)
= (∼ p ∨ q) = (p ⇒ q)
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Logical Equivalance
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