Number Base Systems
| Number Base | Digits | Prefix |
|---|---|---|
| Binary | 0-1 | 0b |
| Octal | 0-7 | 0o |
| Decimal | 0-9 | - |
| Hexadecimal | 0-9, A-F | 0x |
What are Number Bases?
Number base systems are methods for representing numbers using different sets of digits. Common systems include binary (base-2), octal (base-8), decimal (base-10), and hexadecimal (base-16).
Common Applications
- Binary: Computer data storage, digital electronics
- Hexadecimal: Memory addresses, color codes, cryptography
- Base conversion: Data transmission, programming, computer science
Base Conversion
Base conversion is the process of converting a number from one number system to another. Our tool simplifies this process for seamless conversions between binary, octal, decimal, and hexadecimal.
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Base Converter Guide
What is Base Conversion?
Base conversion is the process of converting a number from one number system (base) to another. This tool lets you seamlessly convert between binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and other number systems.
Technical Principles
Base conversion works by understanding the positional value of each digit in a number. For example, in base 10, the number 123 means (1×10²) + (2×10¹) + (3×10⁰). The same principles apply to other bases, like binary where 101 means (1×2²) + (0×2¹) + (1×2⁰) = 5 in decimal.
Common Applications
- Computer Programming & Development
- Digital Electronics & Hardware Design
- Network & IP Address Management
- Color Representation (Hex Codes)
- Data Encoding & Compression
- Computer Science Education & Learning
Supported Number Systems
- Binary (Base 2) (Used in computing fundamentals)
- Octal (Base 8) (Used in some computing contexts)
- Decimal (Base 10) (Standard numbering system)
- Hexadecimal (Base 16) (Common in programming & memory addressing)
How to Use
- Enter your number in any input field (binary, octal, decimal, or hex)
- The tool automatically converts to all other bases
- Verify the converted values in the corresponding fields
- Use the 'Copy' buttons to copy any result to clipboard
- For custom bases, use the additional conversion options