Number base converter | Convert Numbers with Ease

Convert numbers between bases: binary, decimal, octal, and hexadecimal. Includes detailed conversion steps for learning number systems.

What Is a Number Base Converter?

A number base converter changes a number between number systems — binary (base 2), octal (base 8), decimal (base 10) and hexadecimal (base 16). Computers use binary and hex; people use decimal.
In your browser Updated 06/2026

Convert numbers between different number bases (decimal, binary, hexadecimal, etc.)

Input Options

Output Options

Clear

What Is a Number Base Converter?

A number base converter changes a number between number systems — binary (base 2), octal (base 8), decimal (base 10) and hexadecimal (base 16). Computers use binary and hex; people use decimal.

How to Use

  1. Enter your number in the input field
  2. Select the base of your input number (e.g., 16 for hexadecimal)
  3. Choose the desired output base
  4. Click Convert to see the result

The Same Value in Four Bases

Decimal Binary Octal Hex
0 0 0 0
8 1000 10 8
10 1010 12 A
16 10000 20 10
255 11111111 377 FF

Each base writes the same value differently; hexadecimal is a compact way to show binary.

Key Features

  • Support for bases 2 through 36
  • Common base conversions (binary, octal, decimal, hex)
  • Case-insensitive input for letters
  • One-click result copying

Common Use Cases

  • Converting between decimal and binary
  • Working with hexadecimal color codes
  • Computer science calculations
  • Digital electronics work

Use this tool from your AI agent

Free JSON API and Model Context Protocol (MCP) server. No signup, no API key, CORS open. Designed for Claude, ChatGPT, Cursor, scripts and frontend apps.

curl -X POST https://mate.tools/api/v1/number-base.php \
  -H "Content-Type: application/json" \
  -d '{"value":"ff","from_base":16,"to_bases":[2,10,16,"roman"]}'
import urllib.request, json

req = urllib.request.Request(
    "https://mate.tools/api/v1/number-base.php",
    data=json.dumps({"value":"ff","from_base":16,"to_bases":[2,10,16,"roman"]}).encode(),
    headers={"Content-Type": "application/json"},
)
with urllib.request.urlopen(req) as r:
    print(json.load(r))
const r = await fetch("https://mate.tools/api/v1/number-base.php", {
    method: "POST",
    headers: { "Content-Type": "application/json" },
    body: JSON.stringify({"value":"ff","from_base":16,"to_bases":[2,10,16,"roman"]}),
});
console.log(await r.json());

Add to claude_desktop_config.json (Claude Desktop), ~/.cursor/mcp.json (Cursor), or any other MCP-compatible client:

{
  "mcpServers": {
    "mate-tools": {
      "command": "npx",
      "args": ["-y", "@mate-tools/mcp-server"]
    }
  }
}
API documentation OpenAPI 3.1 npm 60 req/min · 600 req/hour · 1 MB body cap

Frequently Asked Questions

A number base (or radix) determines how many unique digits are used to represent numbers. For example, binary (base-2) uses only 0 and 1, while decimal (base-10) uses digits 0-9.

Common bases include: Binary (2), Octal (8), Decimal (10), and Hexadecimal (16). These are frequently used in computer science and digital systems.

For bases larger than 10, letters A-Z are used to represent digits after 9. For example, in hexadecimal, A=10, B=11, ..., F=15.