Universal Base Converter

Quick Conversions

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📁 Drop file here to convert
0 chars 0 digits

Common Base Representations

Key Features

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Universal Base Support

Convert between any number bases from 2 to 62, including binary, octal, decimal, hexadecimal, and beyond.

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Real-time Conversion

Instant conversion as you type with automatic validation of input numbers for the selected base.

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Bidirectional Conversion

Easily swap between source and target bases with one click. Supports decimal, binary, hex, and all bases in between.

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Batch File Processing

Upload and convert multiple numbers from files with support for TXT, JSON, XML, and CSV formats.

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Smart Validation

Real-time validation ensures numbers are valid for the selected base with helpful error messages.

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Conversion History

Auto-save conversion history with favorites, export, and cleanup options for tracking your work.

How to Use the Base Converter

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🎯 Select Source and Target Bases

Choose your number bases from the dropdown menus:

  • Base 2: Binary (0, 1)
  • Base 8: Octal (0-7)
  • Base 10: Decimal (0-9)
  • Base 16: Hexadecimal (0-9, A-F)
  • Base 36: Alphanumeric (0-9, A-Z)
  • Base 62: Full alphanumeric (0-9, A-Z, a-z)
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📝 Enter Your Number

Type or paste your number in the input field:

  • The tool automatically validates the input for the selected base
  • Invalid characters are highlighted with helpful error messages
  • Supports both uppercase and lowercase letters for bases > 10
  • File upload for batch processing multiple numbers
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⚡ Instant Conversion

Watch as your number converts automatically:

  • Real-time conversion as you type
  • Digit count and character count displayed
  • Automatic error detection and correction suggestions
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🔧 Use Advanced Features

Take advantage of powerful built-in tools:

  • Swap Bases ⇄ Instantly switch source and target bases
  • Copy Result 📋 One-click copy to clipboard
  • History 📜 Access previous conversions
  • Download 💾 Save results as text file
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📚 Learn Number Systems

Understand different number bases used in computing:

  • Binary (Base 2): Computer's native language
  • Octal (Base 8): Unix file permissions
  • Hexadecimal (Base 16): Memory addresses, colors
  • Base 36/62: URL shorteners, compact encoding

⚡ Quick Examples

Decimal to Binary: 255 → 11111111
Hex to Decimal: FF → 255
Binary to Hex: 10101010 → AA
Base 36: Z → 35 (decimal)

Common Base Conversions

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Decimal: 1000 Common number
Conversions:
Binary: 1111101000 Octal: 1750 Hex: 3E8 Base 36: RS
Binary: 10101010 Pattern example
Conversions:
Decimal: 170 Octal: 252 Hex: AA Base 36: 4Q
Hex: FF00FF Color code
Conversions:
Decimal: 16711935 Binary: 111111110000000011111111 Base 36: 5A9OF
Base 36: HELLO Text as number
Conversions:
Decimal: 29234652 Binary: 1101111100100011010101100 Hex: 1BE8D5C
Base 62: aZ3 URL shortener
Conversions:
Decimal: 238327 Binary: 1110100010010000111 Hex: 3A247
Large: 4294967295 2^32 - 1
Conversions:
Binary: 11111111111111111111111111111111 Hex: FFFFFFFF Base 36: 1F2Z2TW Base 62: 4Ly0YW

Base Converter - Frequently Asked Questions

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What is a number base?

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A number base (or radix) is the number of unique digits used to represent numbers. Base 10 uses digits 0-9, base 2 uses 0-1, base 16 uses 0-9 and A-F, and so on.

What bases are supported?

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Our base converter supports all bases from 2 to 62. This includes common bases like binary (2), octal (8), decimal (10), and hexadecimal (16), as well as extended bases up to base 62.

How are digits represented in bases higher than 36?

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Bases 2-10 use digits 0-9. Bases 11-36 add uppercase letters A-Z (10-35). Bases 37-62 add lowercase letters a-z (36-61), providing a full 62-character set.

Is this base converter free?

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Yes! Our base converter is completely free to use. No registration required, no hidden fees, and unlimited conversions between any supported bases.

What's the largest number I can convert?

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The converter handles arbitrarily large numbers limited only by your browser's JavaScript capabilities. You can convert very large numbers with hundreds or thousands of digits.

Understanding Number Bases

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The Mathematics of Number Systems

Number bases are fundamental to mathematics and computer science. While we commonly use base 10 (decimal), computers use base 2 (binary), and various other bases have practical applications in different fields.

Common Number Bases in Computing

  • Binary (Base 2): The foundation of all digital systems, using only 0 and 1
  • Octal (Base 8): Used in Unix permissions and some legacy systems
  • Decimal (Base 10): Human-friendly number system we use daily
  • Hexadecimal (Base 16): Memory addresses, color codes, and debugging
  • Base 32/36/62: Compact encoding for URLs, identifiers, and data storage

How Base Conversion Works

Converting between bases involves understanding place values. In base-N, each position represents N^position. For example, in binary, positions represent powers of 2; in hexadecimal, powers of 16.

Practical Applications

Understanding number bases is crucial for programmers, data scientists, and anyone working with digital systems. They're used in memory management, data compression, cryptography, and more.

Number System Examples

DecimalBinaryOctalHexBase 36
00000
10101012AA
351000114323Z
1001100100144642S
25511111111377FF73