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The truth table for the given logic circuit is :


Detailed Solution
[add image: logic circuit – two NAND gates (one with A, B and one with $\bar{A}$, B) feeding an AND gate]
Outputs of the NAND gates: $\overline{A \cdot B}$ and $\overline{\bar{A} \cdot B}$
$C = \overline{A \cdot B} \cdot \overline{\bar{A} \cdot B} = \overline{A \cdot B + \bar{A} \cdot B}$ (De Morgan's theorem)
$C = \overline{B(A + \bar{A})} = \bar{B}$
Truth table: (0,0) → 1, (0,1) → 0, (1,0) → 1, (1,1) → 0
