Hex to Octal
Convert hexadecimal numbers to octal effortlessly
Converter Tool
Enter a hexadecimal number (0-9, A-F). The '0x' prefix is optional. The conversion will automatically handle both positive and negative numbers.
Binary Representation:
Decimal Representation:
About Number Systems
Hexadecimal System
The hexadecimal numeral system, or hex for short, is a base-16 number system that uses the digits 0-9 and the letters A-F to represent values 10-15. Hexadecimal is commonly used in computing and digital electronics because it provides a more human-friendly representation of binary-coded values.
Octal System
The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right).
Hexadecimal to Octal Conversion Table
Hexadecimal | Octal | Hexadecimal | Octal |
---|---|---|---|
0 | 0 | 8 | 10 |
1 | 1 | 9 | 11 |
2 | 2 | A | 12 |
3 | 3 | B | 13 |
4 | 4 | C | 14 |
5 | 5 | D | 15 |
6 | 6 | E | 16 |
7 | 7 | F | 17 |
Conversion Process
Converting from hexadecimal to octal involves two main steps:
- Convert each hexadecimal digit to its 4-bit binary equivalent.
- Group the resulting binary digits into sets of three (starting from the right), and convert each group to its octal equivalent.
Example: Convert Hex "1A" to Octal
Step 1: Convert each hex digit to 4-bit binary:
1 → 0001
A → 1010
Combined: 0001 1010
Step 2: Group binary digits into sets of three (from right):
000 110 100
Step 3: Convert each 3-bit group to octal:
000 → 0
110 → 6
100 → 4
Result:
064 (leading zeros can be omitted: 64)
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