How to convert 9 to octal

Here we will show you step-by-step how convert the decimal number 9 to octal.

First note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and octal numbers use only 8 digits (0, 1, 2, 3, 4, 5, 6, and 7).

As we explain the steps to converting 9 to octal, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the dividend, B is the divisor and C is the Quotient.

The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.

To convert the decimal number 9 to octal, you follow these steps:

Step 1) Divide 9 by 8 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from step 1 by 8. Again keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 9 as an octal.

Here we will show our work so you can follow along:

9 ÷ 8 = 1 with 1 remainder
1 ÷ 8 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 9 converted to octal is therefore:

11

So what we did on the page was to Convert A₁₀ to B₈, where A is the decimal number 9 and B is the octal number 11. Which means that you can display decimal number 9 to octal in mathematical terms as follows:

9₁₀ = 11₈

Decimal to Octal Converter
Need another decimal number as an octal number? How to convert 9 to octal is not all we know. Convert another decimal to octal below:

How to convert 10 to octal
Here is our next decimal to octal tutorial on our list.