Question

The Boolean expression ((p ∧ q) ∨ (p ∨ ~q)) ∨ (~ p ∧ ~q) is equivalent to :

(1) p ∧ q

(2) (~ p) ∧ (~ q)

(3) p ∧ (~ q)

(4) p ∨ (~ q)

Answer 1

The correct option (2) (~ p) ∧ (~ q)

Explanation:

(ii) (~ p) ∧ (~ q)