How is the Exclusive-OR Gate is the same as the addition?

Exclusive-OR Gate 

Exclusive-OR Gate by combining regular logic ports together to form more complex gate functions. Which have extensively used when creating numerical logic, computer logic, and error detection systems. We may achieve the Exclusive-OR Gate function or Ex-OR for short.

The two-input “Exclusive-OR” gate is primarily a two-adder module as it gives the sum of two binary numbers which makes the architecture more complicated than other simple logic gate forms. The following is the true table, logical symbol and application of an Exclusive-OR 2-input gate.

The output of the exclusive or Gate

That has, if the two input terminals on the “DIFFERENT” have at the logic of one another, the output of the exclusive or door is only HIGH.

An amazing amount of “1’s” logic on the inputs provides the “1” logic at the output. These two inputs will have the boolean statement “1” or “0” at the logical stage. A.B + A.B = (A to B)

The Digital Logic “Exclusive-OR” Gate

Input Exclusive-OR Gate

Exclusive-OR Gate

Giving Boolean: Q = AB + AB Speech
The above true table indicates that the output of the ONLY exclusive-OR gate is “Strong,” whether the two terminals in the gate area in the logic “DIFFERENT.” Where these two inputs, the A and B are all at the “1” level of the logic or both at the “0” level, the output is a “0.” In other words, if there is a strange amount of 1 in the inputs, the output is “1.”

In computing logic circuits, it gives one the following boolean expression: This ability to equate two logic level and generate output values based on the input state is very useful for computers:
A.B + A.B = (A to B)

The logic feature of a 2-input Ex-OR has as follows: the output at Q has provided with “ORB but NOT Both.” Generally, where an ODD number 1 has input to Gate, if all numbers equal it, the output is “0,” an Ex-OR gate would only give an output value of the “1” logic.

Ex-OR is then referred to as “special” or modulo 2-sum (Mod-2-SUM) for over two inputs rather than an ex-or. This definition can be extended to include all of the inputs shown below for a 3-input Ex-OR gate.