# A Study on XOR Gate

If you're studying electronics, logic gates are a must-know concept. These are crucial digital gadgets that rely heavily on the Boolean function. Logic gates perform logical operations on single or many binary inputs and produce a single binary output. In a nutshell, logic gates are the electrical circuits that comprise a digital system. So, let’s study XOR Gate.

The logic gate can be termed as a device that serves as a foundation for digital circuits. They carry out basic logical tasks that are essential in digital circuitry. Logic gate, found in the majority of electrical gadgets we use today.

Logic gates in circuits are judged on a mix of radio signals from their interfaces. The majority of logic gates have 2 inputs and true output. Boolean algebra is the base of logic gates. Every extreme is in the true state of 2 bipartite states at one instance: true or false. True denotes one, and false means zero. The bipartite output will change relying on the kind of gate utilized and the mix of interfaces.

The logic gate can be contrasted to a switch in which the output is off in a position, zero, and on in another one. Logic gates have been often seen in an integrated circuit.

There are mainly seven logic gates named as AND, NOT, OR, XOR, NAND, XNOR, and NOR

## XOR Gate

Exclusive-OR gate is another word for XOR Gate. This gate is a subtype of a gate employed in several sorts of computing circuits. There are 2 unique gates, Ex-OR and Ex-NOR, and the OR,AND, NAND,NOT and NOR gates. These are not fundamental in and of themselves but are created by combining them with more logic gates. Their Boolean expression is important enough to be regarded as an entire gate. The hybrid gates are the XNOR and XOR gates.

The logic gate that executes this modulo sum operation without incorporating the carry is an XOR gate. A XOR gate is often a two-input logic gate with an output that is only logical true when just one of the inputs is a logical one. When both inputs are equal, either one is a one or both are a zero, and the output is logical zero.

This is why an XOR gate is sometimes known as an anti-coincidence gate. This gate is known as an XOR or exclusive OR gate as its output is always one when its input is always one.

Boolean Expression of XOR Gate is: A = XY’ + YX’

## Types of XOR Gate

### 2 Input XOR Gate

2 Input XOR is a straightforward cross gate XOR. There are just two input readings and one output value in this sort of XOR gate. Once both sources are set to a different logic level, the return level is high.

Boolean Expression is: A = XY’ + YX’

Truth table for 2 Input XOR Gate is given below:

 X Y A false false false false true true true false true true true false

### XOR Gate with 3 Inputs

If an XOR gate accepts three or more values and forms, and if those conditions are true, it is effectively a one-hot detector.

The Boolean Expression is: A = X(YZ)’ + Y(XZ)’ + Z(XY)’ + XYZ

Truth table is as follows:

 X Y Z A false false false false true false false true false false false true true false false false false true true true true true true false false true true false true true true true

### Multiple Input XOR Gate

Despite the fact that XOR gates can have only two interfaces, the XOR operation may be performed with any number of initials.

Two or more inputs When there are an odd number of initials in the gate region, the output is a logical one, and when there are none or an even number of initials, the output is logical zero.

## XOR Gate Applications

• XOR gates are commonly found in circuits that conduct mathematical calculations, particularly in half-adders and adders.
• The XOR gate’s ability to compare two logic levels and provide an output based on the input condition is valuable in many computing circuits. Though it is not a fundamental logic gate, its versatility and utility have elevated it to the status of a conventional logic gate.
• It may be configured so that it becomes a linear feedback type shift register. A Pseudo-random number producer is another name for a linear shift register.

## Conclusion

The AND, OR, and NOT gates create the XOR circuit with two inputs. Only when one of the two inputs of a two-input XOR gate is HIGH is the output HIGH. If both inputs are the same, the output is LOW. If a given gate is not immediately accessible, we will design it by combining various gates. This was all about the XOR Gate. Hopefully this will make you understand the XOR Gate much better.