UGC NET Computer Science December 2019 | Question 53

Question 53

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The Boolean expression AB+AB'+A'C+AC is unaffected by the value of the Boolean variable

1. 1. A
2. 2. B
3. 3. C
4. 4. A,B and C

Explanation

The Given Boolean expression can be simplified as follows:

AB+AB'+A'C+AC

= A(B+B')+C(A'+A) .... from property of complementary (B+B') = 1 and (A+A') = 1

= A+C , WHICH is independent on B

Hence 2 is the right answer

Reference : Laws of Boolean Algebra

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