Question

The expression \( P + QR \) is the reduced form of:

• A. \( (P+Q)R \)
• B. \( (P+R)Q \)
• C. \( (P+Q) (P+R) \)
• D. \( PQ + QR \)

Hint:

To reduce Boolean expressions, use properties such as distribution, absorption, and De Morgan's laws.

Answer 1

The Correct Option is C

To simplify the expression \( P + QR \), we can use the distributive property: \[ P + QR = (P + Q)(P + R). \] This is the reduced form of the given Boolean expression. Thus, the correct answer is: \[ \boxed{(P+Q) (P+R)}. \]