# Decimal 10 to Octal Conversion

What is 10 decimal in octal? - converter, chart & solved example problem with step by step workout for how to carry out decimal 10 to octal conversion manually. The base-10 value of 10_{10} is equal to
base-8 value of 12_{8}.__In different representation__

10_{10} = 12_{8}

10 = 0o12

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

8.5 | 10.4 | 1000.1 |

9 | 11 | 1001 |

9.5 | 11.4 | 1001.1 |

10 | 12 | 1010 |

10.5 | 12.4 | 1010.1 |

11 | 13 | 1011 |

11.5 | 13.4 | 1011.1 |

12 | 14 | 1100 |

## Work to Find What is 10 Decimal in Octal

The below is the example problem with step by step work to find what is 10 decimal in octal.

step 1 Perform the successive MOD 8 for the given decimal number 10 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).

10 / 8 = 1 : Remainder is 2 →

1 / 8 = 0 : Remainder is 1 →

step 2 Write the remainders from MSB to LSB provide the equivalent octal number

12

__10 Decimal To Octal Conversion:__step 1 Perform the successive MOD 8 for the given decimal number 10 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).

10 / 8 = 1 : Remainder is 2 →

**LSB**1 / 8 = 0 : Remainder is 1 →

**MSB**step 2 Write the remainders from MSB to LSB provide the equivalent octal number

12

**10**_{10}= 12_{8}