To calculate result you have to disable your ad blocker first.

# Decimal To Octal Converter

Enter the decimal number in the given box to convert into octal number and hit on the swap button to swap the octal number into a decimal number.

Table of Contents:

## Decimal To Octal Converter

Decimal to Octal converter is used to convert the decimal number into the octal number (from the base-10 system to the base-8 system) and convert the octal to Decimal by hitting on the swap button.

## What is Decimal number system?

Decimal number system is based on the “**10**” and contains numbers from “0 and 9”. Due to this is also called a base-**10** numeral system. On the other hand, the number made by the combination of the “**0 to 9**” digits is known as the decimal number, and each digit is known as the decimal digit.

Moreover, a system that contains all decimal numbers is called the decimal number system. A decimal number is used in daily life for simple addition, subtraction, multiplication, and division of numbers. A decimal number in mathematical form can be represented as “`(a)`

”._{10}

Where,

- “
**a**” represents the decimal numbers.

## What is octal number system?

Octal number system stands on the base “**8**” and contains only eight elements from “**0 to 7**”. It is also called the base-**8** numeral system. It contains a fewer element than the decimal and hexadecimal number system.

In computer language, an octal number is used to shorten the representation of the binary number into a group of three octal digits. The mathematical representation of the Octal number such as “`(b)`

”._{8}

Where,

- “
**b**” represents the octal number (i.e., 17, 476, and 7676).

## Steps to convert the decimal number into an octal number

To convert the decimal number into octal number factorize the given decimal number by digit “`8`

”. Follow the below steps to convert the decimal into octal.

- To convert the simple decimal number without a decimal point factorize the decimal number in table form with the number “
**8**” and write the remainder in front of the divisor. - Similarly, solve at that time the final digit not exactly “
**7**” or less than seven. Then write the remainder answer from the down to up order from the factorization table.

While on the other hand, the decimal point decimal number has a different method to convert into an octal number. Follow the below step to convert the decimal point number into an octal number.

- Firstly, distribute the number into two parts before the decimal point number and after the decimal point number.
- Before the decimal number factorize by the digit “8” according to the above steps and after a decimal point number is multiplied by the digit “8” or if the answer is greater than the number “
**8**” then divide by the base “8” to taking the answer less than “**8**”.

## How to convert the decimal number into octal number?

Use above decimal to octal converter to quickly convert the decimal number into an octal number. Here, we solve some manual examples to convert decimals to octal.

**Example 1**

Convert the given decimal number into the octal number “**579**”.

**Solution**

**Step 1:** Given decimal number is converted into an octal number to factorize by “8”.

8 | 579 |

8 | 72 – 3 |

8 | 9 - 0 |

| 1-1 |

Thus, **(579) _{10} = (1103)_{8}**

**Example 2**

Convert the given decimal number into the octal number “**476**”.

**Solution**

**Step 1: **Factorize the given decimal number by “8” to convert it into an octal number.

8 | 476 |

8 | 59 – 4 |

| 7 - 3 |

Thus, **(476) _{10} = (734)_{8}**

**Example 3**

Convert the given decimal number into the octal number “**7676.75**”.

**Solution**

**Step 1: **Separate the number before the decimal point and after the decimal point.

Before decimal point number = 7676

After decimal point number = 0.75

**Step 2: **First factorize the before decimal point number by “8” to convert it into an octal number.

8 | 7676 |

8 | 959 – 4 |

8 | 119- 7 |

8 | 14-7 |

| 1-6 |

**Step 3: **Now, multiply the after-decimal point number with the digit “8” to convert it into an octal number.

After the decimal point number = 0.75

Multiply with the “8” digit.

= 0.75 × 8

= 6

Now place the value of before decimal point before the decimal point in the octal system and after the decimal point number value after the decimal point.

Thus, **(7676.75) _{10} = (16774.6)_{8}**