Decimal to Hexadecimal Converter
Free online tool to instantly convert decimal (Base 10) to hexadecimal (Base 16). Includes quick conversion tables and step-by-step mathematical explanations.
How to convert Decimal to Hexadecimal
Converting from Decimal (Base 10) toHexadecimal (Base 16) involves positional value evaluation.
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).
Decimal to Hexadecimal Quick Conversion Table
Common values converted between Decimal (Base 10) and Hexadecimal (Base 16):
| Decimal (10) | Hexadecimal (16) |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| 10 | A |
| 11 | B |
| 12 | C |
| 13 | D |
| 14 | E |
| 15 | F |
| 16 | 10 |
| 32 | 20 |
| 64 | 40 |
| 100 | 64 |
| 255 | FF |
Decimal to Hexadecimal Frequently Asked Questions
Common questions and step-by-step mathematical answers about converting Decimal (Base 10) to Hexadecimal (Base 16).
1How do you convert decimal to hexadecimal?↓
Divide by 16 successively. Record remainders: 10=A, 11=B, 12=C, 13=D, 14=E, 15=F. Read the remainders in reverse order.
2What is the formula for decimal to hexadecimal conversion?↓
N₁₀ = hₙ·16ⁿ + ... + h₁·16¹ + h₀·16⁰ where A=10 through F=15.
3How do you convert decimal to hex manually?↓
Example with 750: 750÷16 = 46 (rem 14 → E), 46÷16 = 2 (rem 14 → E), 2÷16 = 0 (rem 2). Result: 2EE₁₆.
4What is 10 in hexadecimal?↓
Decimal 10 maps directly to the first alphabetical hex digit A.
5What is 15 in hexadecimal?↓
Decimal 15 maps to the maximum single-digit hex value F.
6What is 255 in hexadecimal?↓
255 ÷ 16 = 15 (F) with remainder 15 (F) → FF₁₆ (represents 1 full byte of 8 bits).
7How does decimal to hexadecimal conversion work?↓
Each hex digit represents exactly 4 bits of binary data, making it the preferred human-readable format for binary memory.
8How do you convert decimal fractions to hexadecimal?↓
Example: 0.0625 × 16 = 1.0 → Integer part is 1, so 0.0625₁₀ = 0.1₁₆.
9What are the hexadecimal digits from 0 to F?↓
Hexadecimal has 16 symbols total: 10 numerical digits (0–9) and 6 alphabetical letters (A–F).
10What is the difference between decimal and hexadecimal?↓
Hexadecimal is much more compact for representing computer memory, color codes (#FFFFFF), and machine opcodes.