Calculator Input
Accepted input formats include plain hexadecimal, 0x-prefixed values, uppercase, lowercase, and optional negative literals.
Example Data Table
| Hex Input | Mode | Bit Length | Decimal Result | Expanded Form |
|---|---|---|---|---|
| 1A | Unsigned | 8 | 26 | 1 × 16^1 + 10 × 16^0 |
| FF | Unsigned | 8 | 255 | 15 × 16^1 + 15 × 16^0 |
| FF | Signed two's complement | 8 | -1 | 255 - 256 |
| 7B | Signed two's complement | 8 | 123 | 7 × 16^1 + 11 × 16^0 |
| 0x1A3F | Unsigned | 16 | 6719 | 1 × 16^3 + 10 × 16^2 + 3 × 16^1 + 15 × 16^0 |
Formula Used
Unsigned conversion: Decimal = Σ(digit value × 16position) from the rightmost digit to the leftmost digit.
Digit values: 0–9 keep their face value, while A=10, B=11, C=12, D=13, E=14, and F=15.
Signed two's complement: If the most significant bit is set, Decimal = Unsigned Value − 2n, where n is the chosen bit length.
Example: 1A = (1 × 161) + (10 × 160) = 16 + 10 = 26.
How to Use This Calculator
- Enter the hexadecimal value using digits 0–9 and letters A–F.
- Choose the bit length that matches your system, byte width, or classroom example.
- Select unsigned mode for standard conversion or signed mode for two's complement interpretation.
- Enable detailed steps if you want a breakdown of powers and contributions.
- Press Convert to Decimal to display the answer above the form.
- Use the export buttons to save the visible result as a CSV or PDF file.
Frequently Asked Questions
1. What does this calculator convert?
It converts hexadecimal numbers into decimal values. It also shows expanded place-value steps, supports signed interpretation, and lets you export the visible result.
2. Can I type lowercase letters?
Yes. Lowercase inputs are normalized automatically. The calculator accepts a–f, removes optional spacing, and can also handle a leading 0x prefix.
3. What is signed two's complement mode?
Signed mode interprets the selected bit length as a two's complement integer. If the sign bit is active, the calculator subtracts 2 raised to that bit length.
4. Why does bit length matter?
Bit length changes signed interpretation. The same hexadecimal pattern may represent different negative or positive values under 8-bit, 16-bit, 32-bit, or 64-bit contexts.
5. Does it support negative literals?
Yes. If you type a leading minus sign, the calculator treats the value as a negative literal and multiplies the computed unsigned decimal result by negative one.
6. What appears in the CSV export?
The CSV file includes original input, normalized hexadecimal value, interpretation mode, bit length, unsigned decimal value, and final decimal result.
7. Can I use prefixes like 0x?
Yes. A leading 0x or 0X prefix is removed automatically before calculation, so common programming notation works without extra editing.
8. Is this useful for programming study?
Yes. It helps when reading memory values, debugging numeric literals, checking two's complement examples, or learning how place-value conversion works.