The simplified SOP (Sum of Product) form the Boolean expression (P + Q\’ + R\’)(P + Q + R)(P + Q + R\’)

(A) (P\’Q + R)
(B) (P + QR\’)
(C) (P Q\’ + R )
(D) (PQ + R)


Answer: (B)

Explanation: for given expression, (P + Q\’ + R\’)(P + Q + R)(P + Q + R\’)
=P + PQ + PR + PQ\’ + Q\’R + PR\’ + R\’Q) (P + Q + R\’) // Since, (P + PQ) = P(1 + Q) = P
=(P + Q\’R + QR\’)(P + Q + R\’)
=(P + PQ + PR\’ + PQ\’R + PQR\’ + QR\’)
=(P + QR\’)

Quiz of this Question