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
This problem can be directly solved using the fundamental laws of Boolean algebra, specifically the Distributive Law.
Method 1: Using the Distributive Law (Right to Left)
According to the distributive law of Boolean algebra, logical addition (OR) distributes over logical multiplication (AND). The law states that:
A+BC=(A+B)(A+C)
By substituting A=P, B=Q, and C=R into the property formula, we get:
P+QR=(P+Q)(P+R)
Explanation
This problem can be directly solved using the fundamental laws of Boolean algebra, specifically the Distributive Law.
Method 1: Using the Distributive Law (Right to Left)
According to the distributive law of Boolean algebra, logical addition (OR) distributes over logical multiplication (AND). The law states that:
A+BC=(A+B)(A+C)
By substituting A=P, B=Q, and C=R into the property formula, we get:
P+QR=(P+Q)(P+R)