Question

Minimize: F = PQ + (PR)′ +PQ′R using Boolean laws.​

Answer 1

Explanation:

you can find the solution in the above picture

Answer 2

Minimization of F = PQ + (PR)′ +PQ′R using Boolean laws is 1 + PQR'

• Given,
• F = PQ + (PR)′ + PQ′R

• = PQ(R+R') + (PR)′ + PQ′R    (∵ R+R' = 1)
• = PQR + PQR' + (PR)′ +PQ′R  
• = PR(Q+Q') + PQR' + (PR)′
• = PR + PQR' + (PR)′       (∵ PR+(PR)' = 1)
• = 1 + PQR'