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Topic: Logic gates (OR, AND, NOT, NAND, NOR)· Electronic Devices

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

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

logic gate network (NOT, AND, OR)

1. \(\overline{A\cdot B}\)

2. \(\overline{A\cdot B}+A\cdot B\)

3. \(A\cdot\overline{B}+\overline{A}\cdot B\)

4. \(\overline{A+B}\)

1 answer

Best answer

Answer: 3. \(A\cdot\overline{B}+\overline{A}\cdot B\)

Read the figure: the upper AND gate gets \(A\) and \(\overline B\); the lower AND gate gets \(\overline A\) and \(B\). An OR gate joins them.

$$Y=A\cdot\overline{B}+\overline{A}\cdot B$$

This is the XOR function, which is option 3. Option 2 is the XNOR expression and option 1 is NAND; option 4 is NOR.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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