(iii) The reduced expression of the Boolean function F(P,Q) =P’ + PQ is:
(a) P' + Q
(b) P
(c) P'
(d) P+Q

Solution

(b) P' + Q

Explanation :

F(P,Q) = P’ + PQ
=(P' + P).(P' + Q) [Distributive law]
= (P' + P).(P' + Q) [Complimentary law]
= (P' + Q)