About the Number Base Converter
What is the Number Base Converter?
This number base converter changes whole numbers between any radix from 2 to 36, using digits 0–9 and letters A–Z.
It handles numbers of up to 200 digits exactly, and always shows the binary, octal, decimal and hex forms.
How to use the Number Base Converter
- Number (sample: 101101)
- From Base (2–36) (sample: 2)
- To Base (2–36) (sample: 10)
- Press Convert Number Base (results also refresh as you type). The result card shows the Converted Number, along with Decimal (base 10), Binary (base 2), Octal (base 8) and Hexadecimal (base 16).
Formula used
Value = Σ dᵢ × baseⁱ; repeated division by the target base gives the new digits
Worked example
These are the sample values already filled in the calculator above, and the result it returns for them:
| Input | Sample value |
|---|---|
| Number | 101101 |
| From Base (2–36) | 2 |
| To Base (2–36) | 10 |
| Result | Value |
|---|---|
| Converted Number | 45 |
| Decimal (base 10) | 45 |
| Binary (base 2) | 101101 |
| Octal (base 8) | 55 |
| Hexadecimal (base 16) | 2D |
Tips for using the Number Base Converter
- Letters are case-insensitive: "ff" and "FF" are the same in base 16.
- Base 36 is used for compact IDs such as short URLs.