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Find the truth table for the function Y of A and B represented in the following figure. [Figure: A and B feed an AND gate; B also passes through a NOT gate; the AND output and B feed an OR gate giving Y. Options list Y for AB=00,01,10,11: (a) 0,1,1,1; (b) 1,0,1,1; (c) 0,0,0,1; (d) 0,1,0,0.]
Asked in JEE Main 27th July 2nd Shift 2021 · Gate combinations and truth tables
- (1) 0,1,1,1
- (2) 1,0,1,1
- (3) 0,0,0,1
- (4) 0,1,0,0
Answer: (2) 1,0,1,1
Step-by-step solution
Y=AB+B=A+B
00→1, 01→0, 10→1, 11→1.
Why the other options are wrong
- (1) This is OR.
- (3) Keeps only the AB term.
- (4) Not obtainable from AB+B.
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