Calculating bits of bits.




Binary Arithmetic!

Binary arithmetic is mathematical operations like addition, subtraction, multiplication and division on binary digits 0 and 1. It plays essential part in digital electronics. Let's get started.

Binary Addition:

Binary addition forms basis for binary subtraction, multiplication and division. There are 4 rules for binary addition. Each of this case gives a sum (bit) and a carry (bit).

A B Sum Carry
0 0 0 0
0 1 1 0
1 0 1 0
1 1 0 1

Binary Subtraction:

Again, there are four rules for binary subtraction. Subtraction and Borrow will be used here.

A B Sub Borrow
0 0 0 0
0 1 0 1
1 0 1 0
1 1 0 0

Binary Multiplication: 

Binary multiplication is like logical AND operation. The four rules are given below.

A B Mul
0 0 0
0 1 0
1 0 0
1 1 1

Binary Division:

Division as we know is repeated subtraction. It has not got 4 rules. Because the divisor can not be 0. So, here is the table for binary division. 

A B Div
0 1 0
1 1 1
We will see some examples for each of these operation in the next post. Stay tuned! 

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