Octal to Hex Converter
Convert octal numbers to hexadecimal with step-by-step calculation. Simple and accurate octal to hex conversion tool.
Octal to Hex Converter
Convert octal numbers to hexadecimal format. This tool provides step-by-step conversion process showing how octal numbers are converted to hex through binary intermediate steps.
What is octal to hex conversion?
Octal to hex conversion is the process of converting a base-8 number to a base-16 number. This is typically done by first converting to binary, then grouping binary digits into sets of 4 to get hex digits.
How do you convert octal to hex?
To convert octal to hex:
1. Convert each octal digit to 3 binary digits
2. Group binary digits into sets of 4 (from right to left)
3. Convert each group of 4 binary digits to hex
Example: 17₈ = 001 111₂ = 0001 1111₂ = 1F₁₆
Why convert through binary?
Converting octal to hex through binary is efficient because:
- Octal digits map directly to 3 binary digits
- 4 binary digits map directly to 1 hex digit
- This avoids complex mathematical calculations
- It's easier to understand the conversion process
What are the conversion tables?
Octal to Binary:
- 0₈ = 000₂
- 1₈ = 001₂
- 2₈ = 010₂
- 3₈ = 011₂
- 4₈ = 100₂
- 5₈ = 101₂
- 6₈ = 110₂
- 7₈ = 111₂
Binary to Hex:
- 0000₂ = 0₁₆
- 0001₂ = 1₁₆
- ...
- 1111₂ = F₁₆
Octal to Hex Conversion Table
| Octal | Binary | Hex | Decimal |
|---|---|---|---|
| 0 | 000 | 0 | 0 |
| 1 | 001 | 1 | 1 |
| 2 | 010 | 2 | 2 |
| 3 | 011 | 3 | 3 |
| 4 | 100 | 4 | 4 |
| 5 | 101 | 5 | 5 |
| 6 | 110 | 6 | 6 |
| 7 | 111 | 7 | 7 |
| 10 | 1000 | 8 | 8 |
| 11 | 1001 | 9 | 9 |
| 12 | 1010 | A | 10 |
| 13 | 1011 | B | 11 |
| 14 | 1100 | C | 12 |
| 15 | 1101 | D | 13 |
| 16 | 1110 | E | 14 |
| 17 | 1111 | F | 15 |
| 20 | 10000 | 10 | 16 |
| 40 | 100000 | 20 | 32 |
| 100 | 1000000 | 40 | 64 |
| 200 | 10000000 | 80 | 128 |
| 377 | 11111111 | FF | 255 |
| 400 | 100000000 | 100 | 256 |