In this blog, we will learn to convert a decimal number into an octal number.

Before, start this topic let’s take a recap on what is a decimal number or an octal number.

**Decimal Number –** Decimal Number are those number who uses 10 digits of a number system **0 to 9** (0,1,2,3,4,5,6,7,8,9) and the base of a decimal number is 10. **Example:** 9_{10}, 25_{10}, 48_{10}, 152_{10} etc. These numbers are known as** “Decimal Number”**

**Octal Number –** Octal Number are those number who uses 8 digits of a number system** 0 to 7** (0,1,2,3,4,5,6,7) and the base of the octal number is 8. **Example: **6_{8}, 13_{8}, 24_{8} etc. This number is known as **“Octal Number”**

For more details about this topic then take a tour on this link “Computer Number System”

As always let start with the example.

**Example 1:** Convert a Decimal Number **(9) _{10}** into Octal?

**Sol:**

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process.

Decimal no.÷ by 8 | Quotient | Remainder |
---|---|---|

9 ÷ 8 | 1 | 1 |

1 ÷ 8 | 0 | 1 |

Now, write all the remainder from downward to the upward manner like this 1 and 1 = 11.

Hence, the conversion of decimal to octal is **(11) _{8}**

**Example 2:** Convert a Decimal Number** (26) _{10}** into Octal?

**Sol:**

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process.

Decimal no.÷ by 8 | Quotient | Remainder |
---|---|---|

26 ÷ 8 | 3 | 2 |

3 ÷ 8 | 0 | 3 |

Now, write all the remainder from downward to the upward manner like this 3 and 2 = 32

Hence, the conversion of decimal to octal is **(32) _{8}**

**Example 3:** Convert the Decimal Number** (93) _{10}** into Octal?

**Sol:**

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process.

Decimal no.÷ by 8 | Quotient | Remainder |
---|---|---|

93 ÷ 8 | 11 | 5 |

11 ÷ 8 | 1 | 3 |

1 ÷ 8 | 0 | 1 |

Now, write all the remainder from downward to the upward manner like this 1, 3, and 5 = 135.

Hence, the conversion of decimal to octal is **(135) _{8}**

**Example 4: **Convert the Decimal Number **(176) _{10}** into Octal?

**Sol:**

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process

Decimal no.÷ by 8 | Quotient | Remainder |
---|---|---|

176 ÷ 8 | 22 | 0 |

22 ÷ 8 | 2 | 6 |

2 ÷ 8 | 0 | 2 |

Now, write all the remainder from downward to the upward manner like this 2, 6, and 0 = 260.

So, our answer is (260)_{8}

Hence, the conversion of decimal to octal is **(260) _{8}**

**Example 5:** Convert the Decimal Number **(242) _{10}** into Octal?

**Sol:**

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process

Decimal no.÷ by 8 | Quotient | Remainder |
---|---|---|

242 ÷ 8 | 30 | 2 |

30 ÷ 8 | 3 | 6 |

3 ÷ 8 | 0 | 3 |

Now, write all the remainder from downward to the upward manner like this 3, 6, and 2 = 362.

So, our answer is (362)_{8}.

Hence, the conversion of decimal to octal is **(362) _{8}**.

**Example 6:** Convert the Decimal Number** (758) _{10}** into Octal?

**Sol:**

To convert this number, we have to divide the given number by 8 until the quotients come to 0. So, let start the dividing process

Decimal no.÷ by 8 | Quotient | Remainder |
---|---|---|

758 ÷ 8 | 94 | 6 |

94 ÷ 8 | 11 | 6 |

11 ÷ 8 | 1 | 3 |

1 ÷ 8 | 0 | 1 |

Now, write all the remainder from downward to the upward manner like this 1, 3, 6, and 6 = 1366.

So, our answer is (1366)_{8}.

Hence, the conversion of decimal to octal is **(1366) _{8}**.

**Example 7: **Convert the Decimal Number** (1472) _{10}** into Octal?

**Sol:**

Decimal no.÷ by 8 | Quotient | Remainder |
---|---|---|

1472 ÷ 8 | 184 | 0 |

184 ÷ 8 | 23 | 0 |

23 ÷ 8 | 2 | 7 |

2 ÷ 8 | 0 | 2 |

Now, write all the remainder from downward to the upward manner like this 2, 7, 0, and 0 = 2700.

So, our answer is (2700)_{8}.

Hence, the conversion of decimal to octal is **(2700) _{8}**.

## Conclusion:

Today I have told you about how to convert a decimal number into an Octal Number. I hope you understand very well. In case If you have any problem understanding something then let me know in the comment section, I will try to help you by replying to your comment.

So, that’s for today’s blog guys. We will meet again with the new topic,

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