Hexadecimal to Octal Conversion with Examples

This post is all about the conversion of hexadecimal to octal. That is, through this article, you will learn the method that is used to convert a number from the hexadecimal number system to the octal number system. But before we begin, let's define these two numbers first.

Hexadecimal to Octal Conversion Steps with an Example

Follow the steps below to convert a number written in hexadecimal to an octal representation. Let's pretend that the value 4CA is what we have to work with in the hexadecimal number system:

Hexadecimal to Octal Example

Let's take an example to apply all the above rules and understand them in a clear way by converting a hexadecimal number to octal.

(4CA)16 = ( ? )8

Therefore, we have a number in the hexadecimal system, which is 4CA. We have to split that number and convert it into a 4-bit binary equivalent, as shown in the table given below:

Hex Digit 4-bit Binary Equivalent
4 0100
C 1100
A 1010

Therefore, we have a total of three pairs of 4-bit binary numbers, that is, 0100, 1100, and 1010. Now combine all three pairs, and we get 010011001010. Now we have to make or split it into 3–3 pairs. Then we get 010, 011, 001, and 010. Convert these four 3-bit binary numbers into their octal equivalents, as shown in the figure below:

number system conversion

Combining all four octal equivalents from the above figure yields 2312. Therefore, finally, (4CA)16 = (2312)8.

Programs Created on Hexadecimal to Octal Conversion

Computer Fundamentals Quiz

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