Octal = 31

GENERATE WORK

GENERATE WORK

Input Data :

Decimal = 25

Obejective :

Convert Decimal to Octal Value

Solution with Steps :

8 | 25 | |

8 | 3 | 1 |

8 | 0 | 3 |

Write the Ramainders from bottom to top

`25_10 = 31_8`

* Decimal ⇄ Octal Converter*, work with steps, solved example problems and conversion table to learn, practice and verify decimal to octal or octal to decimal conversion involved in digital electronics & communications. Supply Decimal input values and generate the step by step work for decimal to octal conversion. Similarly, supply Octal input values and generate step by step work for octal to decimal conversion.

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the decimal numbers, generally represented by base-10 notation in digital electronics & communications. Whereas, the digits 0, 1, 2, 3, 4, 5, 6 and 7 are known as octal numbers generally represented by base-8 notation. The decimal to octal conversion can be done by using the MOD-8 operation. The below method and step by step conversion may useful to learn and practice how to do decimal to octal conversion manually.

__step 1:__ Perform the MOD-8 operation for the given decimal number.

__step 2:__ Arrange remainder from the bottom to top as shown in the below figure, is the equivalent octal number.

**Solved Example Problem**

The below solved example problem may useful to understand how to perform decimal to octal number conversion.

**Problem**

Convert the decimal 143_{10} to its octal equivalent.

This conversion can be done by adding the multiplication of each digit of octal number with its increasing power of 8 from right to left. The below method and steps may useful to learn and practice how to do octal to decimal conversion.

__step 1:__ Separate the digits of the given octal number, if it contains more than 1 digit.

__step 2:__ Multiply each digit of octal number with its increasing power of 8 from right to left.

__step 4:__ Add all the individual results provides the equivalent decimal number.

**Solved Example Problem**

The below solved example problem may useful to understand how to perform octal to decimal number conversion.

**Problem**

Convert the octal number 143_{8} to its decimal equivalent.

**Decimal, Binary, Hex & Octal - Conversion Table**

The below is the conversion table for Decimal, Binary, Hex and Octal number systems.

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

0 | 0000 | 0 | 0 |

1 | 0001 | 1 | 1 |

2 | 0010 | 2 | 2 |

3 | 0011 | 3 | 3 |

4 | 0100 | 4 | 4 |

5 | 0101 | 5 | 5 |

6 | 0110 | 6 | 6 |

7 | 0111 | 7 | 7 |

8 | 1000 | 10 | 8 |

9 | 1001 | 11 | 9 |

10 | 1010 | 12 | A |

11 | 1011 | 13 | B |

12 | 1100 | 14 | C |

13 | 1101 | 15 | D |

14 | 1110 | 16 | E |

15 | 1111 | 17 | F |