Aspire Faculty ID #11914 · Topic: NIMCET 2024 · Just now
NIMCET 2024

The expression P+QR is the reduced form of _____

Solution

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)

✅ Final Answer: (P + Q)(P + R)

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