A XNOR gate is a gate that gives a true (1 or HIGH) output when all of its inputs are true or when all of its inputs are false (0 or LOW). An XNOR gate is also called exclusive NOR gate or EXNOR gate. In a two-input XNOR gate, the output is high (logic 1 or true) when two inputs are the same.
In Boolean expression, the term XNOR is represented by the symbol (⊙) and the Boolean expression is represented as Y = A ⊙ B. It is read as “A XNOR B”.
It can be denoted as also.
XNOR gate symbol
The logic symbol of XNOR gate is shown in figure 1.
XNOR gate truth table
The XNOR gate truth table for figure 1 is shown below.
|A||B||Y = A ⊙ B|
From XNOR gate truth table, it can be concluded that the output will be true (logical 1 or high) when all of its inputs are true or when all of its inputs are false (0 or LOW).
Y = A ⊙ B =
The above algebraic expression represent the XNOR gate with inputs A and B.
XNOR gate using OR, AND, and NOT gate
XNOR gate using NOR gate
To produce XNOR gate using 4 NOR gates, the NOR gates are connected as shown in fig. 3.
To produce XNOR gate using 5 NOR gates, the NOR gates are connected as shown in fig. 4.
XNOR gate using NAND gate
To produce XNOR gate using 5 NAND gates, the NAND gates are connected as shown in fig. 5 and fig. 6.