Large Number Base Converter (BigInt)
Convert arbitrarily large numbers between any base (2-36). Uses BigInt to bypass the 64-bit integer limit for cryptography and math.
About
Standard processors handle numbers up to 64 bits with precision. However, cryptography keys, hash functions, and combinatorics often generate integers with hundreds of digits. Standard converters truncate these values or return scientific notation errors. This tool leverages arbitrary-precision arithmetic to handle strings of integers of virtually unlimited length. It supports custom base conversions useful for encoding schemes like Base36. Accuracy is preserved down to the last digit without rounding.
Formulas
Conversion of large strings requires iterative polynomial accumulation using Big Integer arithmetic.
Unlike standard floating-point math which keeps only significant digits, BigInt logic allocates dynamic memory to store every single bit of the value, preventing overflow.
Reference Data
| Bits | Approximate Decimal Max | Use Case |
|---|---|---|
| 32-bit | 4.29 × 109 | Legacy Systems |
| 64-bit | 1.84 × 1019 | Modern CPU Registers |
| 128-bit | 3.40 × 1038 | IPv6 Addresses |
| 256-bit | 1.15 × 1077 | SHA-256 Hashes |
| 2048-bit | 3.23 × 10616 | RSA Encryption Keys |