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 4 | binary (base 2) | base 4 |
|---|
| 1 | ≈ 1 | 1011 | ≈ 23 |
| 10 | ≈ 2 | 1100 | ≈ 30 |
| 11 | ≈ 3 | 1101 | ≈ 31 |
| 100 | ≈ 10 | 1110 | ≈ 32 |
| 101 | ≈ 11 | 1111 | ≈ 33 |
| 110 | ≈ 12 | 10000 | ≈ 100 |
| 111 | ≈ 13 | 10001 | ≈ 101 |
| 1000 | ≈ 20 | 10010 | ≈ 102 |
| 1001 | ≈ 21 | 10011 | ≈ 103 |
| 1010 | ≈ 22 | 10100 | ≈ 110 |