# Convert between Decimal & Binary

## Convert from Decimal to Binary | Convert from Binary to Decimal

### Decimal to Binary Converter

dec

bin

#### More Converters

### How to Convert Decimal To Binary

Method 1:

- Write down any decimal number.
- Divide the decimal number by 2.
- Write down the integer quotient for the next iteration.
- Write down the remainder for the binary digit.
- Repeat dividing and writing down remainders until the result of the division is 0.

Example: Convert 15 decimal to binary

Divide by 2 | Quotient | Remainder | Bit Position |
---|---|---|---|

15/2 | 7 | 1 | 0 |

7/2 | 3 | 1 | 1 |

3/2 | 1 | 1 | 2 |

1/2 | 0 | 1 | 3 |

Method 2:

- Look for the greatest power of 2. Choose the biggest number that will fit into the number you are converting. 8 is the greatest power of two that will fit into 15, so write a 1 beneath this box in your chart for the left most binary digit.

Example: Convert 15 decimal to binary

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

128 | 0 |

64 | 0 |

32 | 0 |

16 | 0 |

8 | 1 |

4 | 1 |

2 | 1 |

1 | 1 |