The simplified SOP (Sum of Product) form the Boolean expression (P + Q' +…
2016
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)
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Correct answer: B
First, simplify (P + Q + R)(P + Q + R') using the distributive law. Let A = P+Q, then (P+Q+R)(P+Q+R') = (P+Q) + RR' = P+Q. Next, substitute this back: (P + Q' + R')(P + Q). Apply distributive law with A = P, giving P + (Q' + R')Q. Simplify (Q' + R')Q = Q'Q + R'Q = 0 + QR' = QR'. The final simplified SOP form is P + QR'.
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