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The Boolean expression ∼(q ⇒ ∼p) is equivalent to: ______ -

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Question

The Boolean expression ∼(q ⇒ ∼p) is equivalent to: ______

Options

  • p ∧ q

  • (∼p) ⇒ q

  • q ⇒ ∼p

  • p ∨ q

MCQ
Fill in the Blanks

Solution

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

Explanation:

∼(q ⇒ ∼p) ≡ ∼(∼q ∨ ∼p) .............[∵ p → q ≡ ∼p ∨ q]

≡ p ∧ q

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