Hexadecimal to Octal Converter
Free online tool to instantly convert hexadecimal (Base 16) to octal (Base 8). Includes quick conversion tables and step-by-step mathematical explanations.
How to convert Hexadecimal to Octal
Converting from Hexadecimal (Base 16) toOctal (Base 8) involves positional value evaluation.
Convert Hexadecimal to Decimal
Multiply each digit of the hexadecimal number by 16 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 Octal
Divide the decimal value repeatedly by 8. Record the remainders after each division. The final octal representation is formed by reading the remainders in reverse order (bottom to top).
Hexadecimal to Octal Quick Conversion Table
Common values converted between Hexadecimal (Base 16) and Octal (Base 8):
| Decimal (10) | Hexadecimal (16) | Octal (8) |
|---|---|---|
| 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 | 8 | 10 |
| 9 | 9 | 11 |
| 10 | A | 12 |
| 11 | B | 13 |
| 12 | C | 14 |
| 13 | D | 15 |
| 14 | E | 16 |
| 15 | F | 17 |
| 16 | 10 | 20 |
| 32 | 20 | 40 |
| 64 | 40 | 100 |
| 100 | 64 | 144 |
| 255 | FF | 377 |
Hexadecimal to Octal Frequently Asked Questions
Common questions and step-by-step mathematical answers about converting Hexadecimal (Base 16) to Octal (Base 8).
1How do you convert hexadecimal to octal?↓
Convert each hex digit to 4 binary bits, then regroup the combined bits into triplets from right to left and map to octal digits (0-7).
2What is the easiest way to convert hexadecimal to octal?↓
Direct bit regrouping avoids tedious decimal multiplication and division.
3How do you convert hex to octal manually?↓
Example with 3D₁₆: 3 = 0011, D = 1101 (Binary: 00111101) → Regroup as [000] [111] [101] → 0, 7, 5 → 75₈.
4Can hexadecimal be converted to octal through binary?↓
Since 16 = 2⁴ and 8 = 2³, translating via base-2 is exact, lossless, and rapid.
5What is A in octal?↓
A₁₆ = 10₁₀ = 1×8 + 2 = 12₈.
6What is FF in octal?↓
FF₁₆ = 11111111₂ → [011] [111] [111] → 3, 7, 7 → 377₈ (decimal 255).
7How do you convert hexadecimal fractions to octal?↓
Example: 0.8₁₆ → 0.1000₂ → [100] [000] → 0.4₈.
8What is the relationship between hexadecimal and octal?↓
Every 12 bits of data can be expressed as either 3 hex characters or 4 octal digits.
9How do you convert large hexadecimal numbers to octal?↓
Example: 3EB₁₆ → 0011 1110 1011 → [001] [111] [101] [011] → 1753₈.
10What is the difference between hexadecimal and octal?↓
Hexadecimal aligns better with 8-bit, 16-bit, 32-bit, and 64-bit modern computer architectures.