In mathematics and digital electronics, a binary number is a number expressed in the binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). The base-2 system is a positional notation with a radix of 2. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers and computer-based devices. Each digit is referred to as a bit.
conversion table
| binary (base 2) | decimal | binary (base 2) | decimal |
|---|
| 1 | = 1 | 1011 | = 11 |
| 10 | = 2 | 1100 | = 12 |
| 11 | = 3 | 1101 | = 13 |
| 100 | = 4 | 1110 | = 14 |
| 101 | = 5 | 1111 | = 15 |
| 110 | = 6 | 10000 | = 16 |
| 111 | = 7 | 10001 | = 17 |
| 1000 | = 8 | 10010 | = 18 |
| 1001 | = 9 | 10011 | = 19 |
| 1010 | = 10 | 10100 | = 20 |