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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