# Converting from Binary to Denary and Binary Addition

## Converting from Binary to Denary and Binary Addition

## Converting Binary to Denary

**Binary**is a base-2 system used in computing due to its simplicity of having only two possible states: 1 (on) and 0 (off).- A
**denary**system, also known as the decimal system, is more commonly used in our daily lives, it is a base-10 system. - While converting a binary number to a denary number, start from the right-most digit (also known as the
**least significant bit**or LSB) and move towards the left. - Each successive digit signifies an increasing power of 2, starting with 2^0 for the LSB.
- Multiply each
**binary digit**by its corresponding**power of 2**and sum these products. The total value is the denary equivalent of the binary number.

## Binary Addition

- Binary addition is performed similarly to typical addition, with rules adapted for base-2 values.
- For
**0 + 0**, the result is 0. - For
**0 + 1**or**1 + 0**, the result is 1. - For
**1 + 1**, the result is 10 (2 in denary), with 1 carrying over to the next column. - A
**carry**occurs when adding two ‘1’s, similar to how a carry works in denary addition. The ‘1’ carries forward and is added to the sum calculated in the next column. - For situations where there is a carry from a previous calculation, such as
**1 (carry) + 1 + 0**, the result is 10, with 1 carrying over to the next column. - For calculations with a carry such as
**1 (carry) + 1 + 1**, the result is 11, with 1 carrying over to the next column. - The sum is read from left to right, the reverse of the order in which the calculation was performed.