Octal To Hexadecimal Converter

8
16

Step 1: Octal to binary

Step 2: Binary to hexadecimal



How to convert an octal number to hexadecimal

The practical method is to convert the octal number to binary first, then group the binary digits into sets of four and convert those groups to hexadecimal. Octal uses digits 0 to 7, while hexadecimal uses digits 0 to 9 and letters A to F. Here is an example:

Octal to Hexadecimal Conversion

Example of octal to hexadecimal conversion.

(77.62)8 = (?)16

Step 1: Octal to binary

Octal= 7 7 . 6 2
Arrow= ↓ ↓ . ↓ ↓
Chunk= ______ ______ . ______ ______
Binary= 1 1 1 1 1 1 . 1 1 0 0 1 0

Binary result is:(111111.110010)2

Step 2: Binary to hexadecimal

Binary= 0 0 1 1 1 1 1 1 . 1 1 0 0 1 0 0 0
Chunk= _______ _______ . _______ _______
Arrow= ↓ ↓ . ↓ ↓
Hexadecimal= 3 F . C 8

Hexadecimal is: (3F.C8)16


When octal to hexadecimal is useful

Octal and hexadecimal are both shortcuts for writing binary values, but they group bits differently. Octal uses groups of three bits, while hexadecimal uses groups of four bits. This converter helps when you need to compare older octal examples with modern hexadecimal notation or move between file permission, digital logic, and programming examples.

Things to check

  • Make sure the octal input uses only digits 0 through 7.
  • Convert to binary first before regrouping into hexadecimal.
  • Use four-bit groups for the hexadecimal step.
  • For fractional values, group digits separately on each side of the point.

Octal to hexadecimal conversion table:

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

Octal to hexadecimal guide

A reliable way to convert octal to hexadecimal is to convert octal digits to binary first, then group the binary digits into sets of four.

Best uses

  • Move between compact base-8 and base-16 notation.
  • Check computer science exercises involving multiple bases.
  • Convert older octal-style values into modern hex notation.

Quality checks

  • Map each octal digit to three binary bits.
  • Regroup the binary result into four-bit hex groups.
  • Pad with zeros only at the outer edges when needed.

Common mistakes

  • Trying to map octal digits directly to hex without regrouping.
  • Dropping zeros that are needed inside binary groups.
  • Using invalid octal digits before conversion.

Quick answers

Why convert through binary?

Octal and hexadecimal both map cleanly to binary, so binary is the simplest bridge between them.

Does padding with zeros change the value?

Leading padding zeros do not change the value when they are only used to complete a group.