- 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.

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}

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 ►

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