Addition, subtraction, multiplication and division are the four types of operation on which all the arithmetic operation depends of decimal number system, similarly these are the pillars of binary arithmetic also. The first and perhaps the most important of them all is

Now coming to the method of addition, there are four points or steps to remember before proceeding through the operation. These are

As there no numbers other than 0 and 1 in the binary number system these four steps include all the possible operations of addition.

Now let us explain the operation through an example

Suppose A = 10010101 and B = 10000110

Now we want to find out A + B i.e. we have to perform binary addition, we will look through the process with thorough explanation.
This is the addition of the first two least significant digits which are 0 and 1 and 1 + 0 = 1 which is written.
Here again the similar step is done i.e. 0 + 1 = 1.

The use of binary addition in the digital electronics field can be seen clearly, we have discussed about the logic gates which are perhaps the most important part of digital electronics are nothing but the binary arithmetic operations, the XOR gate is the pure **binary addition**.

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