The output Y of following circuit for given inputs is

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Solution

Q.
The output Y of following circuit for given inputs is [2024]

1 $A . B (A + B)$

2 $A . B$

3 $0$

4 $\bar{A} \cdot B$

Ans.
(3)

$Y = \bar{A} \cdot B \cdot (A + \bar{B})$

$= \bar{A} \cdot B \cdot A + \bar{A} \cdot B \cdot \bar{B}$

$= \bar{A} \cdot A \cdot B + \bar{A} \cdot B \cdot \bar{B}$

$= 0 + 0 = 0$

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