Choose the correct logic circuit for the given truth table having inputs A and B .
Inputs
Output
A
B
Y
0
0
0
0
1
0
1
0
1
1
1
1
(A)(see circuit)
(B)(see circuit)✓ Correct
(C)(see circuit)
(D)(see circuit)
Answer: (B)
Solution
The output is 1 whenever A=1 and 0 whenever A=0, regardless of B; that is, Y=A. The circuit achieving this feeds A and B into an OR gate and then takes the AND of that output with A itself:
Y=(A+B)⋅A=A,
by the absorption law. The circuit that forms (A+B)⋅A reproduces the given truth table.
JEE Main · 2025 · 03 Apr 2025 · Shift 1 · Single correct option
