| base 8 | binary (base 2) | base 8 | binary (base 2) |
|---|---|---|---|
| 1 | = 1 | 13 | = 1011 |
| 2 | = 10 | 14 | = 1100 |
| 3 | = 11 | 15 | = 1101 |
| 4 | = 100 | 16 | = 1110 |
| 5 | = 101 | 17 | = 1111 |
| 6 | = 110 | 20 | = 10000 |
| 7 | = 111 | 21 | = 10001 |
| 10 | = 1000 | 22 | = 10010 |
| 11 | = 1001 | 23 | = 10011 |
| 12 | = 1010 | 24 | = 10100 |
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.
| binary (base 2) | base 8 | binary (base 2) | base 8 |
|---|---|---|---|
| 1 | ≈ 1 | 1011 | ≈ 13 |
| 10 | ≈ 2 | 1100 | ≈ 14 |
| 11 | ≈ 3 | 1101 | ≈ 15 |
| 100 | ≈ 4 | 1110 | ≈ 16 |
| 101 | ≈ 5 | 1111 | ≈ 17 |
| 110 | ≈ 6 | 10000 | ≈ 20 |
| 111 | ≈ 7 | 10001 | ≈ 21 |
| 1000 | ≈ 10 | 10010 | ≈ 22 |
| 1001 | ≈ 11 | 10011 | ≈ 23 |
| 1010 | ≈ 12 | 10100 | ≈ 24 |
| base 8 | binary (base 2) |
|---|---|
| 1 | = 1 |
| 2 | = 10 |
| 3 | = 11 |
| 4 | = 100 |
| 5 | = 101 |
| 6 | = 110 |
| 7 | = 111 |
| 10 | = 1 000 |
| 11 | = 1 001 |
| 12 | = 1 010 |