Calculator Input
Example Data Table
| Decimal Input | Hexadecimal Output | Notes |
|---|---|---|
| 10 | 0xA | Simple single-digit conversion. |
| 26 | 0x1A | Remainders become 1 and A. |
| 255 | 0xFF | Common maximum for one byte. |
| 255.875 | 0xFF.E | Shows whole and fractional conversion together. |
| -42 | -0x2A | Standard negative conversion. |
| -42 in 8-bit signed mode | 0xD6 | Stored as two’s complement with fixed width. |
Formula Used
Hexadecimal is base 16, so each digit represents a power of 16. Whole-number conversion uses repeated division by 16. Fractional conversion uses repeated multiplication by 16.
Whole-number expansion:
Decimal = d₀×16⁰ + d₁×16¹ + d₂×16² + ...
Fraction expansion:
Fraction = f₁×16⁻¹ + f₂×16⁻² + f₃×16⁻³ + ...
Manual process:
- Divide the whole-number part by 16 repeatedly.
- Record each remainder.
- Read remainders from bottom to top.
- Multiply any fractional part by 16 repeatedly.
- Record the integer part each time, in order.
How to Use This Calculator
- Enter the decimal value you want to convert.
- Choose a fraction precision if your value includes decimals.
- Select uppercase or lowercase letter output.
- Choose whether to add the
0xprefix. - Enable grouping for easier reading of long hexadecimal results.
- Use signed mode for fixed-width two’s complement output.
- Set the bit width when signed mode is enabled.
- Set minimum digits if you want padded output.
- Click Convert Now to see the result above the form.
- Download CSV or PDF when you need a saved report.
FAQs
1. What does this calculator do?
It converts decimal numbers into hexadecimal output. It can handle whole numbers, fractional values, grouped formatting, prefix control, and signed fixed-width conversion.
2. Why does hexadecimal use A to F?
Base 16 needs sixteen symbols. The digits 0 to 9 cover ten values, and A to F represent values 10 through 15.
3. Can this calculator convert decimal fractions?
Yes. It converts the whole-number part by repeated division and the fractional part by repeated multiplication. You can control how many fractional hexadecimal digits appear.
4. What does signed mode mean?
Signed mode treats whole numbers as fixed-width two’s complement values. This is useful for programming, embedded systems, memory views, and low-level data interpretation.
5. Why are leading zeros sometimes added?
Leading zeros are added when you choose a minimum digit length or use signed fixed-width output. They keep values aligned and easier to compare.
6. Does grouping change the actual value?
No. Grouping only changes how the output is displayed. It improves readability for long hexadecimal strings without changing the underlying numeric value.
7. Why can fractional hexadecimal results be approximate?
Some decimal fractions never end exactly in base 16. The calculator stops after your chosen precision, so the displayed fraction may be a rounded approximation.
8. When should I use the 0x prefix?
Use the prefix when you want to clearly label the result as hexadecimal. It is common in programming, debugging, technical notes, and documentation.