XNOR Gate Truth Table Circuit Diagram Formula IC Number

The output level of an XNOR gate is high only when its two inputs are the same, either 0 or 1. The symbol of an XNOR gate is the same as XOR. Only a complement symbol is added. Sometimes, an XNOR gate is also called an equivalence gate.

An “exclusive-NOR gate” is a combination of an exclusive-OR gate and a NOT gate but has the same truth table as a standard NOR gate, usually when the logic level is “1” and the output is “low. Any inputs are at logic level “1”. ” to logic level “0”.

XNOR Gate

However, a binary “1” or “0” output is obtained only if both inputs are at the same logic level. For example, “00” or “11”. This input combination gives us the Boolean expression: Q = (A ⊕ B) = A.B + A.B.

2-input Ex-NOR gate

This is a simple form of hybrid gate XNOR. This XNOR gate has only two input values ​​and an output value. There are 22=4 combinations of inputs. When both inputs are set to high(1) then output level is high. The Boolean expression of a two-input XNOR gate is as follows:

Y=(A⨁B)’
Y=((AB)’+AB)

XNOR GATE Logic Design

XNOR GATE Truth Table:

Giving the Boolean expression of  Q = AB + AB

Input	Output
A	B	Y
0	0	1
0	1	0
1	0	0
1	1	1

The 3-input XNOR Gate

Unlike a 2-input XNOR gate, a 3-input XNOR gate has three inputs. There are 23=8 combinations of inputs. The Boolean expression of a logical Ex-OR gate is as follows:

Y=(A⨁B⨁C)’
Y=(ABC)’+ABC’+AB’C+A’BC

Logic Design

The Boolean expression of  Q = ABC + ABC + ABC + ABC.

We mentioned earlier that the Ex-NOR function is a combination of various basic logic gates, Ex-OR, and NOT gates, and using the above 2-input truth table, we can expand the Ex-NOR function as:

 Q = A ⊕ B = (A.B) + (A.B).

Truth Table:

Input	Output
A	B	C	Y
0	0	0	1
0	0	1	0
0	1	0	0
0	1	1	1
1	0	0	0
1	0	1	1
1	1	0	1
1	1	1	0

Ex-NOR gate equivalent circuit

We can design XNOR or Ex-NOR gates using gates like AND, OR, and NOT gates. The disadvantage of this implementation is that we use different types of gates to create a single XNOR gate. By using only NAND gates, we can also implement an Ex-NOR gate. This is the simple way to design an Ex-NOR gate functionality.

Use of Ex-NOR gate:

Ex-NOR gates are mainly used in electronic circuits that perform arithmetic operations and data checking such as adders, subtractors, or parity checkers. Since the Ex-NOR gate gives a logic level “1” output when its two inputs are equal. , which is used to compare the magnitude of two binary digits or numbers, and Ex-NOR gates are used in digital comparator circuits.

How is XOR different from XNOR?

XOR: If their number is odd, the output is one. Otherwise, the output will be zero.

XNOR: This is the negative logic of XOR. So if their number is equal, the output will be one. Otherwise, the output will be zero.

The truth table of both:

X and Y are input, and Z is Output

What is the advantage of using an XNOR over XOR?

XNOR and XOR are very different functions and, in fact, complement each other. Because they are so opposite, they are not interchangeable.

XOR can be written as “either X or Y but not both”.

It outputs true (or 1) if the inputs are different and false (or 0) if the inputs are the same. Conversely, XNOR can be written as “X and Y are the same”. It outputs true (or 1) if the inputs are the same and false (or 0) if the inputs differ.

Is the XNOR gate associative?

Yes, it is a associative. Let me suggest a simple method to memorize the function of the XNOR gate. An XNOR gate gives an output when the number at the input is equal to 1 and 0. Now, this operation is not entirely dependent on XNOR being associated with a particular variable; XNOR is being associated.

Conclusion:

XNOR gate is a combination of an exclusive-OR gate and a NOT gate but has the same truth table as a standard NOR gate, usually when the logic level is “1” and the output is “low. Any inputs are at logic level “1”. ” to logic level “0”.