Calculator inputs
Example data table
| Decimal value | Hexadecimal value | Why it matters |
|---|---|---|
| 10 | A | The first decimal value needing a letter digit. |
| 26 | 1A | Shows one quotient step and one letter remainder. |
| 255 | FF | A common byte maximum in computing and maths exercises. |
| 255.625 | FF.A | Demonstrates both repeated division and fraction multiplication. |
| 4096 | 1000 | Illustrates exact powers of sixteen cleanly. |
Formula used
Integer part: keep dividing the decimal integer by 16 until the quotient becomes zero. Each remainder becomes one hexadecimal digit, read from last remainder to first remainder.
Fraction part: keep multiplying the decimal fraction by 16. The whole-number part produced at each multiplication becomes the next hexadecimal digit.
Digit mapping: 10 = A, 11 = B, 12 = C, 13 = D, 14 = E, and 15 = F. Lowercase formatting uses a to f instead.
Padding and grouping: leading zeroes and digit grouping change display style only. They do not change the underlying converted value.
How to use this calculator
- Enter the decimal number you want to convert.
- Choose how many fractional hexadecimal digits you need.
- Select uppercase or lowercase letter digits.
- Set optional padding, grouping size, and separator style.
- Pick a prefix or suffix format when needed.
- Press Convert now to show the result above the form.
- Download the finished result as CSV or PDF if required.
Frequently asked questions
1. Why do hexadecimal numbers use letters?
Hexadecimal is base 16, so it needs sixteen symbols. After digits 0 through 9, the symbols A through F represent decimal values 10 through 15.
2. Can this calculator convert fractional decimals?
Yes. Enter values like 12.75 or 255.625. The calculator multiplies the fractional part by 16 repeatedly and shows each produced hexadecimal digit.
3. Why might my fraction look truncated?
Some decimal fractions never end exactly in base 16. The precision setting limits how many hexadecimal places are shown, so extra digits are cut off after that point.
4. Does grouping digits change the answer?
No. Grouping adds spaces, dashes, or underscores only for readability. The numeric value stays identical whether the hexadecimal digits are grouped or not.
5. What does minimum width do?
Minimum width pads the integer portion with leading zeroes. This helps when you need fixed-length hexadecimal strings for worksheets, reports, or coding tasks.
6. Can I use negative decimal numbers?
Yes. The calculator keeps the minus sign and converts the magnitude into hexadecimal. It presents the signed result directly rather than using two's-complement notation.
7. When should I choose uppercase or lowercase digits?
Choose the style that matches your class notes, report format, or project standard. Both styles represent exactly the same hexadecimal value.
8. What is the fastest manual checking method?
For whole numbers, divide by 16 repeatedly and record each remainder. For fractions, multiply by 16 repeatedly and record each whole-number part.