ClarityHow to use this tool
- Enter integer digits, source base, target base.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| Integer digits | Enter text using the format shown in the sample. | FF |
| Source base | Numeric value. Minimum: 2. Maximum: 36. | 16 |
| Target base | Numeric value. Minimum: 2. Maximum: 36. | 10 |
Result for these sample inputs
255
- Source base
- 16
- Target base
- 10
- Decimal integer
- 255
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
Read each digit in the source base using integer multiply-and-add, then express the resulting integer in the target base. Digits above 9 use A through Z.
FF in base 16 converts to 255 in base 10 and 11111111 in base 2.
What to keep in mind
Up to 256 input digits. Whole numbers only; omit prefixes such as 0x and 0b, commas and spaces. Signed values use a leading minus, not a two’s-complement bit pattern.
Common questions
Can I convert an integer larger than JavaScript’s safe-number limit?
Yes. BigInt arithmetic preserves integer precision rather than using floating-point numbers.
Why is my digit rejected?
Each digit must be smaller than the source base. For example, 2 is not a binary digit.
Methodology maintained by ClarityKit. How these tools are built and checked.