Question:

Which logic gate is represented by the following combination of logic gates ?

Updated On: Jul 13, 2024
  • NAND
  • AND
  • NOR
  • OR
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The Correct Option is B

Solution and Explanation

$y_{1} = \bar{A} , \, y_{2} = \bar{B} $
$y = \overline{y_{1} + y_{2}} = \overline{\bar{A} + \bar{B}} $ (using De-morgan's theorem)
$y =A \cdot B$
Hence this logic gate represents AND gate
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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.