Question:

The circuit given below represents which of logic operations?

Updated On: Jul 29, 2022
  • AND
  • NOT
  • OR
  • NOR
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The Correct Option is A

Solution and Explanation

Let two inputs are $A$ and $B$. The circuit can be shown as :
The two gates shown are NAND gates. The output of gate $-1, Y _{1}=\overline{ A \cdot B }$ The output of gate $-2, Y =\overline{ Y _{1} \cdot Y _{1}}$ or $Y =\overline{\overline{ A \cdot B } \cdot \overline{ A \cdot B }}$ $=\overline{\overline{ A \cdot B }} $ $= A \cdot B$ Thus, the combination behaves as it is an 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.