Convert Hexadecimal (Base-16) to Octal (Base-8) Online
Easily convert base-16 hexadecimal numbers to base-8 octal values. Our online Hex to Octal Converter assists developers, system engineers, and students in manipulating memory states and address configurations. Convert hex strings instantly using the intermediate binary regrouping method.
The Regrouping Method (4-Bit to 3-Bit)
Direct mathematical conversion between hexadecimal and octal is complex. However, because both bases are powers of 2, you can convert them cleanly using binary. First, expand each hex character into a 4-bit binary sequence. Then, regroup the entire binary string into 3-bit clusters, which directly correspond to octal digits.
How to Convert Hex to Octal (Step-by-Step)
- Expand to 4-bits: Replace each hex digit with its corresponding 4-bit binary value (e.g.
Ato1010). - Combine and Regroup: Join the binary segments, and regroup them into clusters of three bits starting from the right.
- Pad the Left: Add leading zeros to the leftmost group if it has fewer than three bits.
- Convert to Octal: Translate each 3-bit cluster into its equivalent octal digit (0-7).
Intermediate Binary
Performs the conversion using bit-grouping operations, which is the most mathematically clean path.
System Integration
Ideal for system programmers converting old Unix file permission models and memory registers into modern values.
100% Client-Side
Conversions are processed client-side. Your inputs and outputs never leave your browser sandbox.
Hex to Octal Reference Table
| Hexadecimal | Intermediate Binary | Octal Value |
|---|---|---|
| 01 | 0000 0001 | 1 |
| 0A | 0000 1010 | 12 |
| 20 | 0010 0000 | 40 |
| 41 | 0100 0001 | 101 |
| 61 | 0110 0001 | 141 |
| 64 | 0110 0100 | 144 |
| FF | 1111 1111 | 377 |