For the given logic gates combination, the correct truth table will be

Solution

Physics sir · 2 steps

Follow each crossing wire to its AND gate, and you will see X is high only when A and B differ.

1. Trace the wires. The two wires cross without joining. The top AND gate gets Ā and B, and the bottom AND gate gets A and B̄.

   X = Ā B + A B̄

   A and B	ĀB (top)	AB̄ (bottom)	X (OR)
   0 and 0	0	0	0
   0 and 1	1	0	1
   1 and 0	0	1	1
   1 and 1	0	0	0

2. So. The output column reads 0, 1, 1, 0. This is the XOR gate, which matches option (d).

The idea to keep. For a gate combination, write the Boolean expression at each gate output first, then fill the truth table row by row. ĀB + AB̄ is XOR, so learn to spot it on sight.

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