# Decimal to binary

This converter can convert decimal numbers to binary numbers very quickly, both negative and floating-point numbers are supported for conversion. At the same time, you can also choose any conversion between binary to base 36. Binary to decimal

Base(default decimal) | |

Decimal number | |

Target base(default binary) | |

Conversion result |

## Knowledge of converter

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

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.

## How to convert decimal to binary

- Divide the number by 2.
- Get the integer quotient for the next iteration.
- Get the remainder for the binary digit.
- Repeat the steps until the quotient is equal to 0.

**Example**

Convert 15_{10} to binary:

Division by 2 | Quotient | Remainder | Bit # |
---|---|---|---|

15/2 | 7 | 1 | 0 |

7/2 | 3 | 1 | 1 |

3/2 | 1 | 1 | 2 |

1/2 | 0 | 1 | 3 |

So 15_{10} = 1111_{2}

## Decimal to binary conversion table

Decimal Number | Binary Number |
---|---|

0 | 0 |

1 | 1 |

2 | 10 |

3 | 11 |

4 | 100 |

5 | 101 |

6 | 110 |

7 | 111 |

8 | 1000 |

9 | 1001 |

10 | 1010 |

11 | 1011 |

12 | 1100 |

13 | 1101 |

14 | 1110 |

15 | 1111 |

16 | 10000 |

17 | 10001 |

18 | 10010 |

19 | 10011 |

20 | 10100 |

21 | 10101 |

22 | 10110 |

23 | 10111 |

24 | 11000 |

25 | 11001 |

26 | 11010 |

27 | 11011 |

28 | 11100 |

29 | 11101 |

30 | 11110 |

31 | 11111 |

32 | 100000 |

64 | 1000000 |

128 | 10000000 |

256 | 100000000 |