Octal number:

352

Decimal to Octal Conversion

(234)_{10} = (352)_{8}

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In digital electronics and computer programming, octal (base 8) is sometimes used as a numerical system.

If you need to convert a decimal number to octal, follow these steps: divide the decimal number by 8, get the integer quotient, and repeat until the quotient is zero.

In this guide, we’ll provide examples and include a conversion table for reference.

To convert a decimal number to octal, follow these steps:

- Divide the decimal number by 8.
- Write down the integer quotient and the remainder.
- Convert the remainder to an octal digit (see conversion table below).
- Repeat steps 1-3 with the integer quotient until it is equal to 0.
- Write the octal digits in reverse order to get the final result.

Example #1: Convert 756210 to Octal

Division by 8:

Division by 8 | Quotient (integer) | Remainder (decimal) | Remainder (octal) | Digit # | |
---|---|---|---|---|---|

1 | 7562/8 | 945 | 2 | 2 | 0 |

2 | 945/8 | 118 | 1 | 1 | 1 |

3 | 118/8 | 14 | 6 | 6 | 2 |

4 | 14/8 | 1 | 6 | 6 | 3 |

5 | 1/8 | 0 | 1 | 1 | 4 |

Therefore, 756210 in decimal is equivalent to 166128 in octal.

Example #2: Convert 3563110 to Octal

Division by 8:

Division by 8 | Quotient | Remainder (decimal) | Remainder (octal) | Digit # | |
---|---|---|---|---|---|

1 | 35631/8 | 4453 | 7 | 7 | 0 |

2 | 4453/8 | 556 | 5 | 5 | 1 |

3 | 556/8 | 69 | 4 | 4 | 2 |

4 | 69/8 | 8 | 5 | 5 | 3 |

5 | 8/8 | 1 | 0 | 0 | 4 |

6 | 1/8 | 0 | 1 | 1 | 5 |

Therefore, 3563110 in decimal is equivalent to 1054578 in octal.

Decimal to Octal Conversion Table

To help with decimal to octal conversions, use this table as a reference:

Decimal (base 10) | Octal (base 8) |
---|---|

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

8 | 10 |

9 | 11 |

10 | 12 |

11 | 13 |

12 | 14 |

13 | 15 |

14 | 16 |

15 | 17 |

16 | 20 |

17 | 21 |

18 | 22 |

19 | 23 |

20 | 24 |

21 | 25 |

22 | 26 |

23 | 27 |

24 | 30 |

25 | 31 |

26 | 32 |

27 | 33 |

28 | 34 |

29 | 35 |

30 | 36 |

40 | 50 |

50 | 62 |

60 | 74 |

70 | 106 |

80 | 120 |

90 | 132 |

100 | 144 |

200 | 310 |

1000 | 1750 |

2000 | 3720 |

Converting decimal to octal is a straightforward process that can be done by following a few simple steps. Remember to use the conversion table provided for reference and to double-check your results.

With this knowledge, you’ll be able to work with octal numbers in various applications with ease.