How to convert Hexadecimal to Octal

Hexadecimal numbering system is one of the numeral systems that are commonly used in computers and other digital systems. It is base 16 and it has 16 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and A, B, C, D, E, F.

The octal numeral system is a numbering system that is based on 8 digits: 0, 1, 2, 3, 4, 5, 6, 7. It used to be popular in the early days of computing when it was primarily used for counting inputs and outputs, one byte at a time.

Table #1: Hexadecimal to Octal conversion table

Hexadecimal	0	1	2	3	4	5	6	7	8	9	A	B	C	D	E	F
Octal	0	1	2	3	4	5	6	7	10	11	12	13	14	15	16	17

As with octal to hexadecimal, the easiest way to convert hexadecimal back to octal numbers is through binary conversion.

Start with any hexadecimal number
Translate it into binary system by swapping each hexadecimal digit with the equivalent group of four binary digits
Drop any leading zeros from the resulting binary number, or pad it with zeros in order to achieve groups of three digits
Convert binary representation of the hexadecimal number into resulting octal number

Table #2: Hexadecimal to Binary conversion table

Hexadecimal	0	1	2	3	4	5	6	7	8	9	A	B	C	D	E	F
Binary	0000	0001	0010	0011	0100	0101	0110	0111	1000	1001	1010	1011	1100	1101	1110	1111

Table #3: Binary to Octal conversion table

Binary	000	001	010	011	100	101	110	111
Octal	0	1	2	3	4	5	6	7

Example #1: Convert hexadecimal 6F into octal

Step description	Result
Translate 6F into binary	0110 1111
Pad one leading zero in order to achieve groups of 3 binary digits	001 101 111
Resulting octal number	157

Example #2: Convert hexadecimal A16 into octal

Step description	Result
Translate A16 into binary	1010 0001 0110
Form groups of 3 binary digits	101 000 010 110
Resulting octal number	5026

How to convert Hexadecimal to Octal

Convert HEX to OCTAL

Convert OCTAL to HEX

How to convert Octal to Hexadecimal