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) | base 3 | binary (base 2) | base 3 |
|---|
| 1 | = 1 | 1011 | = 102 |
| 10 | = 2 | 1100 | = 110 |
| 11 | = 10 | 1101 | = 111 |
| 100 | = 11 | 1110 | = 112 |
| 101 | = 12 | 1111 | = 120 |
| 110 | = 20 | 10000 | = 121 |
| 111 | = 21 | 10001 | = 122 |
| 1000 | = 22 | 10010 | = 200 |
| 1001 | = 100 | 10011 | = 201 |
| 1010 | = 101 | 10100 | = 202 |