Binary to Octal

The binary to octal converter is used to convert binary numbers into octal numbers. Binary numbers are numbers with the base of 2, while octal numbers represent the number with base 8. Both are different types of numbers when it comes to the base, and that is where our octal converter comes in handy. Students, teachers, mathematicians, and computer engineer can use this converter anytime from anywhere because it is an online tool which is accessible even from your mobile device.

In this post, we will learn about how to convert binary to octal, how to use binary to octal converter, and how you can use binary to octal conversion table for the conversion.

How to use our binary to octal converter?

For converting binary to octal, follow the below-given steps:

• Enter the binary number in the given input box.
• Press the Calculate button to see the converted number.

You only need to enter the binary number, and on a single click, it will convert that binary number and give you the equivalent octal counterpart. You can also use our octal to binary converter if you want to convert octal to binary.

How to convert binary to octal?

The 0 and 1 numbers are considered binary numbers and are represented by notations of base-2. The numbers 0, 1, 2, 3, 4, 5, 6 & 7 are referred to as octal numbers and expressed as the notations of base-8. Bit grouping method can be used to convert the binary to octal. To perform binary to octal conversion, follow the below steps:

1. Set the numbers of a given binary number apart into groups of 4 bits from right to left.
2. If there are not 3 digits in the final group, add 0 to the left.
3. Find the octal number equivalent for every group in the table given below.
4. Write the octal numbers of all groups together; the group order gives the octal numbers for the given binary number.

Example:

Let’s use an example to demonstrate the binary to octal conversion.

Convert (111110011001)₂ to the equivalent octal number.

Step 1: Set the numbers of a given binary number apart into groups of 4 bits from right to left.

111      110      011      001

Step 2: Check if there is a need to add zeroes. In this case, all groups consist of 3 digits, so there is no need to add zero.

Step 3: Find the octal number equivalent for every group in the table given below and write down under the binary groups.

111      110      011      001

7            6            3            1

Step 4: Write the octal numbers of all groups together, the group order gives the octal numbers for the given binary number.

7631

So, the binary number (111110011001)₂ is equal to (7631)₈ in an octal number.

Binary to Octal chart

Use this binary to octal conversion table to convert binary numbers into octal numbers.