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NEET Medium

In the combination of the following gates the output Y can be written in terms of inputs A and B as

1

A⋅B‾+A⋅B\overline{A \cdot B} + A \cdot B

2

A⋅B‾+A‾⋅BA \cdot \overline{B} + \overline{A} \cdot B

3

A⋅B‾\overline{A \cdot B}

4

A+B‾\overline{A + B}

Step-by-Step Solution

The circuit consists of two AND gates, two NOT gates, and an OR gate. The inputs to the top AND gate are A and B‾\overline{B}, giving AB‾A\overline{B}. The inputs to the bottom AND gate are A‾\overline{A} and B, giving A‾B\overline{A}B. The final OR gate combines these to give Y=AB‾+A‾BY = A\overline{B} + \overline{A}B.

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