Convert Octal (Base-8) to Hexadecimal (Base-16) Online
Quickly convert base-8 octal numbers to base-16 hexadecimal values. Our free online Octal to Hex Converter is built for programmers, engineers, and students who need to manipulate and translate memory representations and system configurations. Grouping bits via intermediate binary translations provides a clean, fast conversion.
The Intermediate Binary Method
Direct conversions between base-8 and base-16 can be mathematically complex. However, because both systems are base-2 powers, using binary as an intermediate step is extremely clean. Each octal digit maps to 3 binary bits, and each hexadecimal digit maps to 4 binary bits (a nibble).
How to Convert Octal to Hex (Step-by-Step)
- Convert to Binary: Expand each octal digit into three binary bits (e.g. octal
5becomes101). - Group by Four: Combine all the bits together, and regroup them into clusters of four starting from the right.
- Add Padding: If the leftmost group has fewer than four bits, add leading zeros on the left.
- Map to Hex: Translate each 4-bit block into its corresponding hexadecimal character (0-9, A-F).
Binary Bridge Method
Performs the conversion using low-level bit shifting, which is the most reliable calculation path for computing systems.
Assembly Debugging
Ideal for system programmers converting old Unix file permission models and memory registers into modern hex values.
100% Client-Side
Complete privacy is guaranteed. No data is stored, cached, or transmitted to any remote servers.
Octal to Hex Reference Guide
| Octal | Intermediate Binary | Hexadecimal |
|---|---|---|
| 1 | 000 001 | 01 |
| 12 | 001 010 | 0A |
| 40 | 100 000 | 20 |
| 101 | 001 000 001 | 41 |
| 141 | 001 100 001 | 61 |
| 144 | 001 100 100 | 64 |
| 377 | 011 111 111 | FF |