NIMCET 2024 — Computer PYQ
NIMCET | Computer | 2024The expression P+QR is the reduced form of _____
Choose the correct answer:
- A.
(P + R)Q
- B.
(P+Q) (P+R)
(Correct Answer) - C.
PQ + QR
- D.
(P+Q) R
(P+Q) (P+R)
Explanation
Boolean Simplification
Given Expression: P+QR
We ask: This is the simplified (reduced) form of which expression?
Try expanding: (P+Q)(P+R)
Using distributive law:
(P+Q)(P+R)=P(P+R)+Q(P+R)=P+PR+PQ+QR=P+PQ+PR+QR=P+QR(since P absorbs PQ and PR)
(P + Q)(P + R) = P(P + R) + Q(P + R) = P + PR + PQ + QR = P + PQ + PR + QR = P + QR {(since P absorbs PQ and PR)}
✅ Final Answer: (P+Q)(P+R)
Explanation
Boolean Simplification
Given Expression: P+QR
We ask: This is the simplified (reduced) form of which expression?
Try expanding: (P+Q)(P+R)
Using distributive law:
(P+Q)(P+R)=P(P+R)+Q(P+R)=P+PR+PQ+QR=P+PQ+PR+QR=P+QR(since P absorbs PQ and PR)
(P + Q)(P + R) = P(P + R) + Q(P + R) = P + PR + PQ + QR = P + PQ + PR + QR = P + QR {(since P absorbs PQ and PR)}
✅ Final Answer: (P+Q)(P+R)