A regular decimal number is the sum of the digits multiplied with 10^{n}.

135 in base 10 is equal to each digit multiplied with its corresponding 10^{n}:

*135 = (1 × 8²) + (3 × 8¹) + (5 × 8⁰) = 93*

So Octal numbers are read the same way, but each digit counts 8^{n} instead of 10^{n}.

So Multiply each digit of the hex number with its corresponding 8^{n}.

30 in base 8 is equal to each digit multiplied with its corresponding 8^{n}:

*30 = (3 × 8¹) + (0 × 8⁰) = 24*

250 in base 8 is equal to each digit multiplied with its corresponding power of 8:

250 = (2 × 8²) + (5 × 8¹) + (0 × 8⁰) = 168

7250 in base 8 is equal to each digit multiplied with its corresponding power of 8:

*7250 = (7 × 8³) + (2 × 8²) + (5 × 8¹) + (0 × 8⁰) = 3752*

Octal base 8 | Decimal base 10 |
---|---|

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

10 | 8 |

11 | 9 |

12 | 10 |

13 | 11 |

14 | 12 |

15 | 13 |

16 | 14 |

17 | 15 |

20 | 16 |

30 | 24 |

40 | 32 |

50 | 40 |

60 | 48 |

70 | 56 |

100 | 64 |

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