# How to convert decimal to binary

#### Conversion steps:

- 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 #1

Convert 13_{10} to binary:

Division by 2 |
Quotient |
Remainder |
Bit # |

13/2 |
6 |
1 |
0 |

6/2 |
3 |
0 |
1 |

3/2 |
1 |
1 |
2 |

1/2 |
0 |
1 |
3 |

So 13_{10} = 1101_{2}

#### Example #2

Convert 174_{10} to binary:

Division by 2 |
Quotient |
Remainder |
Bit # |

174/2 |
87 |
0 |
0 |

87/2 |
43 |
1 |
1 |

43/2 |
21 |
1 |
2 |

21/2 |
10 |
1 |
3 |

10/2 |
5 |
0 |
4 |

5/2 |
2 |
1 |
5 |

2/2 |
1 |
0 |
6 |

1/2 |
0 |
1 |
7 |

So 174_{10} = 10101110_{2}

How to convert binary to decimal ►

## See also