Decimal To Octal

What is Decimal?

Decimal is a number system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is also known as base 10 numbering system since it is based on 10 following symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

What is Octal?

Octal is a number system that uses eight digits: 0, 1, 2, 3, 4, 5, 6 and 7. It is also known as base 8 numbering system since it is based on 8 following symbols: 0, 1, 2, 3, 4, 5, 6 and 7.

How to convert Decimal to Octal?

To convert Decimal to Octal, we need to divide the Decimal value by 8 until the quotient is 0. Then, we need to combine all the remainders together to get the final Octal value.

Example

Let's convert the Decimal value 10 to Octal.

First, we need to divide the Decimal value by 8 until the quotient is 0.

Decimal ValueQuotientRemainder
1012
101

Now, we need to combine all the remainders together to get the final Octal value. In this case, the final Octal value is 12. This is the Octal representation of the Decimal value 10.

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