Question:

The output of the given logic circuit is :

Updated On: June 02, 2025
  • $\bar{A}B$
  • $A\bar{B}$
  • $AB + \bar{AB}$
  • $A\bar{B} + \bar{A}B$
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The Correct Option is B

Solution and Explanation

$Y = \overline{\left(\bar{A} +\bar{B}\right)\bar{A}} $ $ =\overline{\bar{A} +\bar{A}B}$ $ = A \left(\overline{\bar{A}B}\right) $ $ = A +A \bar{B} = A \bar{B} $
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Concepts Used:

Logic Gates

AND Gate

It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.

OR Gate

It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.

NOT Gate

An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.

NAND Gate

A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.

NOR Gate

A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.

XOR Gate

XOR or Ex-OR gate is a specific type of gate that can be used in the half adder, full adder, and subtractor. 

XNOR Gate

XNOR gate is a specific type of gate, which can be used in the half adder, full adder, and subtractor. The exclusive-NOR gate is flattened as an EX-NOR gate or sometimes as an X-NOR gate. It has n number of input (n >= 2) and one output.