The truth table of the given circuit diagram is :

Solution

Physics sir · 3 steps

Trace each inverter to the AND gate it feeds; each AND gate then gets one input plain and one inverted.

1. Read the wiring. The wires from the two NOT gates cross. So the top AND gate gets A and B̄, and the bottom AND gate gets Ā and B.

   Y = AB̄ + ĀB = A ⊕ B

2. Name the gate. This is the XOR gate. The output is 1 only when the two inputs are different.

   A	B	AB̄	ĀB	Y
   0	0	0	0	0
   0	1	0	1	1
   1	0	1	0	1
   1	1	0	0	0

3. So. The output column reads 0, 1, 1, 0, which matches the truth table in option (a).

The idea to keep. When the pattern is AB̄ + ĀB, recognise XOR at once: output 1 when the inputs differ. To check a truth table quickly, test the 00 and 11 rows first.

Answer from the NTA final answer key. Solution by PrepWiser.