Question

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

पर्याय

• p ∧ q

• (∼p) ⇒ q

• q ⇒ ∼p

• p ∨ q

Answer 1

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

Explanation:

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

≡ p ∧ q