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Our decimal to octal converter is an easy to use tool for converting base-10 numbers to base-8 numbers quickly.

A decimal number is a main type of number system in which numbers are expressed in a base-10 numeral system. The decimal number contains 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 numeric digits.

The combination of 0-9 numbers is said to be the decimal number system. Each digit of a decimal number counts a power of 10. Keep in mind that if any number is written without a base, then it would be a decimal number with a base 10.

An octal number, on the other hand, is a number expressed in a base-8 numeral system. It includes the digits 0-7, which are different from the decimal system. The octal number system is the combination of 0-7 numbers. Each digit of an octal number counts as a power of 8.

The decimal to octal conversion can be done easily by using our decimal to octal converter above. For manual conversion, follow the steps below.

- Take a decimal number.
- If the given base-10 number is less than equal to 7, then the octal number is the same.
- If the given base-10 number is greater than 7, then we’ve to divide it by 8.
- Write the quotient and remainder.
- Repeat the process with each quotient until the quotient is less than 8.
- Write the obtained remainders from bottom to top to get the octal number.

Below are a few examples of decimal to octal conversion.

**Example 1:**

Convert 345_{10} to an octal number.

**Solution**

**Step 1:** Divide 345 by 8.

345/8 = 43 r 1

Quotient = 43

Remainder = 1

**Step 2: **Divide the above obtained quotient by 8.

43/8 = 5 r 3

Quotient = 5

Remainder = 3

**Step 3: **Now divide the above obtained quotient by 8.

5/8 = 0 r 5

Quotient = 0

Remainder = 5

**Step 4: **Write the obtained remainders from bottom to top.

531

**Step 5:** Write the given decimal with its octal number.

345_{10 }= (531)_{8}

**Example 2:**

Convert 2456_{10} to an octal number.

**Solution**

We’ll solve this by division method.

Divided by |
Quotient |
Remainder |

8 | 2456 | |

8 | 307 | 0 |

8 | 38 | 3 |

4 | 6 |

The octal number will be formed by taking the last quotient and all the remainder from bottom to top.

Hence

2456_{10} = (4630)_{8}

Use our octal to decimal converter if you want to convert octal numbers to decimals.