# Base-N Radix Converter

Convert numbers and text between any radix from 2 to 36, with custom alphabets and presets for Base58, Base62, and Crockford Base32.

> Canonical page: https://elysiatools.com/en/tools/base-n-radix-converter

- **Category:** Math & Numbers

- **Keywords:** base converter, radix, base-n, base58, base62, crockford base32, binary, hexadecimal, decimal, octal, number system, blockchain

## Overview

Convert between any radix from 2 to 36 — plus custom alphabets that go beyond 36 symbols.

**Why this exists.** A plain base-2/8/10/16 converter only covers the basics. Real-world encoding needs Base58 (Bitcoin addresses, where 0/O/I/l are dropped to avoid confusion), Base62 (URL shorteners, mixing 0-9+a-z+A-Z), and Crockford Base32 (case-insensitive, no I/L/O/U). This tool is the meta-converter that handles the whole base-N space.

**How it works.** Give it an input value, the source base (or a preset/custom alphabet), and the target base. The decoder maps each character to its numeric value using the alphabet, assembles a BigInt, then re-encodes into the target alphabet. Digits above 9 use a-z by default (standard positional notation).

**The presets.**
- **Base58 (Bitcoin)** — "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz" (no 0, O, I, l).
- **Base62** — "0-9A-Za-z", used by URL shorteners and ID generators.
- **Crockford Base32** — "0123456789ABCDEFGHJKMNPQRSTVWXYZ" (decodes I/L as 1, O as 0); designed for human entry.

**Custom alphabet.** Paste any string of unique characters; its length becomes the base. Useful for proprietary ID schemes, shuffled alphabets, or obfuscation.

**Tips.**
- Leading zeros are not meaningful in positional notation; the converter drops them.
- For very large inputs (hundreds of digits), conversion uses BigInt so it stays exact.
- Hex ↔ decimal ↔ binary round-trips are lossless; text↔number conversions depend on alphabet consistency.

## Inputs

- **Input** (text): e.g. FF (hex) or 1A2B3C
- **From Base** (number): e.g. 16 (up to 62 with a preset; ignored if custom alphabet used)
- **To Base** (number): e.g. 10 (standard bases use 2-36; up to 62 with a preset)
- **Preset** (select)
- **Custom Alphabet (overrides base)** (text): e.g. ABCDEFGHJKMNPQRSTVWXYZ (unique chars; length = base)

## When to use

- When decoding blockchain addresses or transaction hashes that use Base58 encoding to prevent character confusion.
- When generating or parsing short URLs and unique identifiers that rely on Base62 or Crockford Base32 formats.
- When converting large numeric values between standard bases like binary, octal, decimal, and hexadecimal using arbitrary-precision math.

## How it works

- Input the value you want to convert and specify its current base or select a predefined encoding preset.
- The converter decodes the input characters into an exact numeric value using BigInt to prevent precision loss.
- The value is re-encoded into the target base or custom alphabet of your choice to produce the final output.

## Use cases

- Decoding Bitcoin addresses or IPFS hashes encoded in Base58 to inspect their raw decimal values.
- Converting database auto-increment IDs into compact Base62 strings for URL shorteners.
- Translating legacy hexadecimal system logs into binary or decimal formats for debugging.

## Frequently asked questions

### What is the maximum base supported by this converter?

The tool supports standard bases from 2 to 36, and up to 62 using presets or custom alphabets.

### How does the tool handle very large numbers?

It uses BigInt calculations internally, ensuring that conversions of extremely large numbers remain exact and lossless.

### What is the difference between Base58 and Base62?

Base58 excludes visually similar characters like 0, O, I, and l to prevent human error, whereas Base62 uses the full alphanumeric set.

### Can I use my own custom character set for conversion?

Yes, you can input a custom alphabet string; the tool will use its unique characters and length as the base.

### Are leading zeros preserved during conversion?

No, standard positional notation ignores leading zeros, so they are dropped during the conversion process.

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