Number Base Converter API: Convert Between Any Base

Need to convert binary to hexadecimal? Decimal to octal? The Number Base Converter API converts numbers between any bases from 2 to 36, supporting all common number systems used in programming and mathematics.

What are Number Bases?

A number base (or radix) determines how many unique digits are used to represent numbers. We typically use base 10 (decimal) in everyday life, but computers use base 2 (binary), and programmers often work with base 16 (hexadecimal).

The number 255 in decimal equals 11111111 in binary and FF in hexadecimal - all representing the same value.

Common Number Bases

Using the Base Converter API

TinyFn provides a flexible endpoint for base conversion:

GET https://api.tinyfn.io/v1/math/base-convert?number=255&from=10&to=16
Headers: X-API-Key: your-api-key

{
  "input": {
    "value": "255",
    "base": 10
  },
  "output": {
    "value": "FF",
    "base": 16
  },
  "decimal_value": 255,
  "all_formats": {
    "binary": "11111111",
    "octal": "377",
    "decimal": "255",
    "hexadecimal": "FF"
  }
}

Parameters

Code Examples

JavaScript / Node.js

const response = await fetch(
  'https://api.tinyfn.io/v1/math/base-convert?number=1010&from=2&to=10',
  { headers: { 'X-API-Key': 'your-api-key' } }
);
const data = await response.json();
console.log(`Binary 1010 = Decimal ${data.output.value}`); // 10

Python

import requests

response = requests.get(
    'https://api.tinyfn.io/v1/math/base-convert',
    headers={'X-API-Key': 'your-api-key'},
    params={'number': 'FF', 'from': 16, 'to': 2}
)
data = response.json()
print(f"Hex FF = Binary {data['output']['value']}")  # 11111111

cURL

curl "https://api.tinyfn.io/v1/math/base-convert?number=777&from=8&to=10" \
  -H "X-API-Key: your-api-key"

Common Use Cases

• Color Conversion: Convert RGB values to hex color codes
• Developer Tools: Debug memory addresses and binary data
• Networking: Convert IP addresses and MAC addresses
• ID Generation: Convert numbers to compact base36 strings
• Educational: Teach number systems and base conversion

Best Practices

1. Validate input: Ensure digits are valid for source base
2. Handle case sensitivity: A-F and a-f are equivalent in hex
3. Use appropriate bases: Hex for bytes, binary for bits
4. Consider padding: Binary often needs leading zeros
5. Test edge cases: Zero, negative numbers, maximum values

Use via MCP

Your AI agent can call this tool directly via Model Context Protocol — no HTTP code needed. Add TinyFn to Claude Desktop, Cursor, or any MCP client:

{
  "mcpServers": {
    "tinyfn-math": {
      "url": "https://api.tinyfn.io/mcp/math/",
      "headers": {
        "X-API-Key": "your-api-key"
      }
    }
  }
}

See all math tools available via MCP in our Math MCP Tools for AI Agents guide.