Calculator
Example Data Table
These sample conversions show both standard and signed interpretations.
| Hex Input | Mode | Bit Width | Decimal Output | Note |
|---|---|---|---|---|
| 1A | Standard | — | 26 | Simple whole-number conversion. |
| FF | Standard | — | 255 | Maximum unsigned value for two hex digits. |
| A.8 | Standard | — | 10.5 | Fractional hexadecimal value. |
| 7F | Two’s complement | 8 | 127 | Highest positive signed 8-bit value. |
| FF | Two’s complement | 8 | -1 | All bits set in signed 8-bit form. |
Formula Used
1) Whole hexadecimal values
For a hexadecimal number, each digit is multiplied by a power of 16.
Decimal = Σ(digit × 16position)
2) Fractional hexadecimal values
Digits after the point use negative powers of 16.
Fraction = Σ(digit ÷ 16position)
3) Two’s complement signed values
If the highest bit is 1, the signed value is negative.
Signed Decimal = Unsigned Value − 2bit width
How to Use This Calculator
- Enter a hexadecimal value such as 1A, 0xFF, or A.8.
- Select Standard for normal conversion, or Two’s complement for signed binary interpretation.
- Choose a bit width for signed mode when needed.
- Submit the form to show the result directly above the calculator.
- Review decimal, binary, octal, and place-value steps.
- Use the CSV or PDF buttons to save the output.
Frequently Asked Questions
1) What is a hexadecimal number?
Hexadecimal is a base-16 number system. It uses digits 0 to 9 and letters A to F. Each place represents a power of 16.
2) Can I enter values with a 0x prefix?
Yes. The calculator accepts common inputs such as 0x1A and normalizes them before conversion.
3) Does it support fractional hexadecimal values?
Yes. Standard mode accepts entries like A.8. Digits after the point are converted using negative powers of 16.
4) What is two’s complement mode for?
It interprets a hex value as a signed binary pattern. This is useful in maths, embedded systems, and low-level programming work.
5) Why does bit width matter in signed mode?
Bit width decides where the sign bit sits. The same hex digits can represent different signed values under different widths.
6) What does the graph show?
The graph visualizes each hexadecimal digit’s decimal contribution. It helps you see which positions dominate the final value.
7) What is included in the CSV and PDF exports?
They save your summary values and step table. CSV is useful for spreadsheets, while PDF is useful for reports or sharing.
8) Is this calculator useful for learning maths?
Yes. It shows place values, exact contributions, and signed interpretation. That makes base conversion much easier to study and verify.