Number Base Converter

Convert numbers between binary, octal, decimal, and hexadecimal bases.

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About this tool

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Last updated
10 Mar 2026

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About Number Base Converter

Comprehensive Overview

The Number Base Converter converts numbers between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16) instantly. Essential for low-level programming, debugging, network configuration, and understanding how data is represented in different numeral systems.

Key Features

  • Four Standard Bases — Convert between binary, octal, decimal, and hexadecimal with a single click.
  • Show All Bases — Check the "Show all bases" option to see the number in all four systems simultaneously.
  • Prefix Support — Automatically strips common prefixes: 0x for hex, 0b for binary, and leading 0 for octal.
  • Input Validation — Validates that input characters are valid for the selected base (e.g., only 0-1 for binary, 0-9A-F for hex).

How to Use

  1. Enter the number you want to convert.
  2. Select the From Base (the base your number is currently in).
  3. Select the To Base (the base you want to convert to), or check Show all bases.
  4. Click Process to see the result.

Quick Reference

  • Binary (Base 2) — Uses digits 0 and 1. Used in digital circuits and low-level programming. Example: 1010 = decimal 10.
  • Octal (Base 8) — Uses digits 0-7. Used in Unix file permissions (chmod 755). Example: 755 = binary 111101101.
  • Decimal (Base 10) — Standard number system. Example: 255 = hex FF.
  • Hexadecimal (Base 16) — Uses digits 0-9 and letters A-F. Used in colors (#FF0000), memory addresses, MAC addresses. Example: FF = binary 11111111.

How to use Number Base Converter

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<iframe src="https://xuvero.com/en/tools/number-base-converter/embed" width="100%" height="480" style="border:none;border-radius:12px;" loading="lazy" title="Number Base Converter"></iframe>

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Frequently Asked Questions

The converter supports binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). You can also show all bases at once using the checkbox option.
Yes. Hexadecimal numbers can start with 0x (e.g., 0xFF), binary with 0b (e.g., 0b1010), and octal with a leading zero. The prefixes are automatically stripped during conversion.
The converter handles numbers up to 100 characters in length. For very large numbers, precision may be limited by PHP's base_convert function.
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