How to convert Octal to Hexadecimal

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.

On the other hand, hexadecimal system is probably more familiar as a numeral system that is also 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.

Table #1: Octal to hexadecimal conversion table

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

The easiest way to convert octal to hexadecimal numbers is probably through binary conversion.

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

Table #2: Octal to binary conversion table

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

Table #3: Binary to hexadecimal conversion table

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

Example #1: Convert octal 157 into hexadecimal

Step description	Result
Translate 157 into binary	001 101 111
Drop one leading zero in order to achieve groups of 4 binary digits	0110 1111
Resulting hexadecimal number	6F

Example #2: Convert octal 5026 into hexadecimal

Step description	Result
Translate 5026 into binary	101 000 010 110
Form groups of 4 binary digits	1010 0001 0110
Resulting hexadecimal number	A16

Convert OCTAL to HEX

Convert octal numbers to hexadecimal values.

Convert HEX to OCTAL

Convert hexadecimal numbers to octal numbers.

How to convert Hexadecimal to Octal

Explore the manual conversion process between hexadecimal and octal numbering systems.