Best uses
- Convert values for programming, colors, memory addresses, or debugging.
- Practice base-10 to base-16 conversion.
- Check hexadecimal examples step by step.
Decimal To Hexadecimal Converter
10
16
Converting Steps of Decimal to Hexadecimal:
How to convert a decimal number to the hexadecimal number?
To convert the whole-number part of a decimal value to hexadecimal, divide by 16 and read the remainders in reverse order. For the fractional part, multiply by 16 repeatedly and record each whole-number result until the fraction becomes 0 or reaches the precision you need. The example below shows the process:
Example of decimal to hexadecimal conversion:
(398.375)10 = (?)16
For 398:
| Divided by 16 | Quotient | Remainder | Flow |
|---|---|---|---|
| 398 / 16 | 24 | 14 or E | ↑ |
| 24 / 16 | 1 | 8 | ↑ |
| 1 / 16 | 0 | 1 | ↑ |
For .376:
| Multiply by 16 | Result | Non-Fractional Part | Flow |
|---|---|---|---|
| .376 * 16 | 6.00 | 6 | ↓ |
Result is = (18E.6)16
When decimal to hexadecimal is useful
Hexadecimal is widely used because it represents binary data in a shorter form. Decimal to hexadecimal conversion is common in color codes, programming examples, memory addresses, byte values, and debugging output. A decimal value such as 255 becomes FF, which is easier to recognize in many technical contexts.
Checking the conversion
- Hexadecimal uses digits 0 to 9 and letters A to F.
- A means 10, B means 11, C means 12, D means 13, E means 14, and F means 15.
- Read division remainders from bottom to top for whole numbers.
- For fractional values, multiply the fractional part by 16 and record the whole-number part each time.
Decimal to hexadecimal conversion table:
| Decimal | Hexadecimal |
|---|---|
| 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 |
| 17 | 11 |
| 18 | 12 |
| 19 | 13 |
| 20 | 14 |
Decimal to hexadecimal guide
Decimal to hexadecimal conversion uses repeated division by 16. Remainders from 10 to 15 are written with letters A through F.
Quality checks
- Divide the whole-number part by 16 until the quotient is zero.
- Read remainders upward.
- Convert 10, 11, 12, 13, 14, and 15 into A, B, C, D, E, and F.
Common mistakes
- Leaving a remainder such as 14 instead of writing E.
- Reading remainders from top to bottom.
- Forgetting that hex is base 16, not base 10.
Quick answers
What does E mean in hexadecimal?
E represents decimal 14 in hexadecimal.
Why is hexadecimal used in programming?
It is compact and maps neatly to binary because one hex digit represents four bits.