Octal to Hexadecimal Converter
Free online tool to instantly convert octal (Base 8) to hexadecimal (Base 16). Includes quick conversion tables and step-by-step mathematical explanations.
How to convert Octal to Hexadecimal
Converting from Octal (Base 8) toHexadecimal (Base 16) involves positional value evaluation.
Convert Octal to Decimal
Multiply each digit of the octal number by 8 raised to the power of its position index (starting from position 0 on the right). Sum all products together to obtain the decimal equivalent.
Convert Decimal to Hexadecimal
Divide the decimal value repeatedly by 16. Record the remainders after each division. The final hexadecimal representation is formed by reading the remainders in reverse order (bottom to top).
Octal to Hexadecimal Quick Conversion Table
Common values converted between Octal (Base 8) and Hexadecimal (Base 16):
| Decimal (10) | Octal (8) | Hexadecimal (16) |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 2 | 2 | 2 |
| 3 | 3 | 3 |
| 4 | 4 | 4 |
| 5 | 5 | 5 |
| 6 | 6 | 6 |
| 7 | 7 | 7 |
| 8 | 10 | 8 |
| 9 | 11 | 9 |
| 10 | 12 | A |
| 11 | 13 | B |
| 12 | 14 | C |
| 13 | 15 | D |
| 14 | 16 | E |
| 15 | 17 | F |
| 16 | 20 | 10 |
| 32 | 40 | 20 |
| 64 | 100 | 40 |
| 100 | 144 | 64 |
| 255 | 377 | FF |
Octal to Hexadecimal Frequently Asked Questions
Common questions and step-by-step mathematical answers about converting Octal (Base 8) to Hexadecimal (Base 16).
1How do you convert octal to hexadecimal?↓
The easiest method uses binary as a bridge: 1. Convert each octal digit to 3 bits. 2. Regroup the bits in sets of 4 from the right. 3. Convert each 4-bit group to hex.
2What is the easiest way to convert octal to hex?↓
Converting via binary avoids large multiplications and divisions required by decimal intermediate conversions.
3How do you convert octal to hexadecimal manually?↓
Example with 75₈: 7 = 111, 5 = 101 (Binary: 111101) → Regroup as [0011] [1101] → 3 and D → 3D₁₆.
4Can octal be converted to hexadecimal through binary?↓
Both bases are powers of 2, so bits can be regrouped directly without radix arithmetic.
5What is 10 in hexadecimal from octal?↓
10₈ = 1×8 + 0 = 8₁₀ = 8₁₆.
6What is 100 in hexadecimal from octal?↓
100₈ = 64₁₀ = 4×16 + 0 = 40₁₆.
7How do you convert octal fractions to hexadecimal?↓
Example: 0.4₈ → 0.100₂ → [1000] → 0.8₁₆.
8What is the relationship between octal and hexadecimal?↓
LCM(3, 4) = 12 bits, meaning 4 octal digits (4×3=12 bits) cleanly map to 3 hex digits (3×4=12 bits).
9How do you convert large octal numbers to hex?↓
Example: 1753₈ → 001 111 101 011 → [0011] [1110] [1011] → 3EB₁₆.
10What is the difference between octal and hexadecimal?↓
Hexadecimal is more compact and aligns naturally with 8-bit bytes (2 hex digits = 1 byte), whereas octal requires 3 digits per byte with leftover bits.