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NEET PHYSICSMedium

For the following logic circuit, the truth table is

A
B
C
D

Step-by-Step Solution

The circuit consists of two NOT gates followed by a NOR gate. Let the inputs be A and B. The outputs of the NOT gates are Aˉ\bar{A} and Bˉ\bar{B}. These are inputs to a NOR gate, so Y=Aˉ+BˉY = \overline{\bar{A} + \bar{B}}. By De Morgan's law, Y=AˉBˉ=ABY = \overline{\bar{A}} \cdot \overline{\bar{B}} = A \cdot B. This is an AND gate. The truth table for an AND gate is (0,0)->0, (0,1)->0, (1,0)->0, (1,1)->1. This matches option (2).

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