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Introduction

The output ...

Question

The output $Y$ of the logic circuit shown in figure is best represented as

A

¯ ¯¯ ¯ A + ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ B \cdot C

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B

A + ¯ ¯¯ ¯ B \cdot C

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C

¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ A + B \cdot C

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D

¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ A + ¯ ¯¯ ¯ B \cdot C

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Solution

The correct option is C $¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ A + ¯ ¯¯ ¯ B \cdot C$
Boolean expression for Logic gate - I

$¯ ¯¯ ¯ B \cdot C = Y^{'}$

Boolean expression for Logic gate - II

$A + (¯ ¯¯ ¯ B \cdot C) = Y^{''}$

Boolean expression for Logic gate - III

$¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ A + ¯ ¯¯ ¯ B \cdot C = Y$

So option D is correct.

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