JEE Main 2025 Jan 28 Shift 1, Physics Q13: Logic Gates

JEE Main2025Jan 28, Shift 1Physics

Which of the following circuits has the same output as that of the given circuit?

Solution

Trace signals through the original circuit.

$P = A \cdot \overset{ˉ}{B}$ and $Q = A \cdot B$ .

$Y = \overline{P + Q} = \overline{A \overset{ˉ}{B} + A B} = \overline{A (\overset{ˉ}{B} + B)} = \overline{A \cdot 1} = \overset{ˉ}{A}$ .

So the circuit collapses to a NOT gate on $A$ . The output is $Y = \overset{ˉ}{A}$ , which corresponds to Option (1).

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