How to convert Binary to Decimal
A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu-Arabic numeral system. For writing numbers, the decimal system uses ten decimal digits, a decimal mark, and, for negative numbers, a minus sign "-". The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the decimal separator is the dot "." in many countries.
Formula
Follow these steps to convert a binary number into decimal form:
- Write the powers of 2 (1, 2, 4, 8, 16, and so on) beside the binary digits from bottom to top.
- Multiply each digit by it's power.
- Add up the answers. This is the solution.
| Digit | Power | Multiplication |
|---|---|---|
| 1 | 128 | 128 |
| 0 | 64 | 0 |
| 0 | 32 | 0 |
| 1 | 16 | 16 |
| 0 | 8 | 0 |
| 1 | 4 | 4 |
| 1 | 2 | 2 |
| 1 | 1 | 1 |