The negation of the Boolean expression ((∼ q ) ∧ p ) ⇒((∼ p ) ∨ q ) is logically equivalent to

Question

The negation of the Boolean expression ((∼ q ) ∧ p ) ⇒((∼ p ) ∨ q ) is logically equivalent to (A) p ⇒ q (B) q ⇒ p (C) ∼(p ⇒ q) (D) ∼( q ⇒ p )

Tardigrade Admin · Accepted Answer

∼ p ∨ q ≡ p arrow q ∼ q ∧ p ≡ ∼( p arrow q ) Negation of ∼( p arrow q ) arrow( p arrow q ) is ∼( p arrow q ) ∧(∼( p arrow q )) i.e. ∼( p arrow q )

Q. The negation of the Boolean expression $((\sim q) \land p) \Rightarrow ((\sim p) \lor q)$ is logically equivalent to