Hexadecimal to Octal Converter
0
Quick Examples
Enter a hexadecimal value to see the conversion steps here.
Other Conversions
Hexadecimal to Octal Converter
A Hexadecimal to Octal Converter helps convert hexadecimal numbers (base-16) into octal numbers (base-8). This conversion is commonly used in computer science, digital electronics, and number system studies.
Convert the hexadecimal number to binary using 4-bit groups, then regroup the binary digits into 3-bit groups and convert them into octal values.
What Is the Hexadecimal Number System?
The hexadecimal number system is a base-16 number system. It uses digits 0–9 and letters A–F, where A = 10 and F = 15.
What Is the Octal Number System?
The octal number system is a base-8 number system. It uses digits from 0 to 7.
How to Convert Hexadecimal to Octal
- Write the hexadecimal number
- Convert each hexadecimal digit into a 4-bit binary value
- Group the binary digits into sets of 3 from right to left
- Convert each group into its octal equivalent
- Combine the octal digits
Example: Convert 3B (Hexadecimal) to Octal
| Step | Result |
|---|---|
| Hex → Binary | 3 → 0011, B → 1011 → 00111011 |
| Binary Groups | 001 110 011 |
| Octal | 1 6 3 |
3B₁₆ = 163₈
Hexadecimal to Octal Conversion Table
| Hexadecimal | Octal |
|---|---|
| 1 | 1 |
| 7 | 7 |
| 8 | 10 |
| A | 12 |
| F | 17 |
| 10 | 20 |
| 1A | 32 |
| 3B | 163 |
| 64 | 144 |
FAQ on Hexadecimal to Octal Converter
Hexadecimal to octal conversion is the process of converting a base-16 number into a base-8 number, usually by converting through binary.
Binary is used because hexadecimal digits map to 4 binary bits and octal digits map to 3 binary bits, making conversion accurate and systematic.
The easiest way is converting hexadecimal to binary first, then regrouping the binary digits into 3-bit groups and converting them into octal values.