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Number System Converter
Convert numbers between different number systems: binary, octal, decimal, hexadecimal and more.
How to Use
1
Choose the source system and enter the number.
2
Click "Convert" to convert the number.
3
View results in all systems and copy them.
Enter the Number
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About This Tool
What are Number Systems?
Number systems are mathematical methods for representing numbers using specific symbols. The most common are: binary (base-2) used in computers, octal (base-8), decimal (base-10) used daily, and hexadecimal (base-16) used in programming.
Binary System
The binary system uses only two symbols (0 and 1) and is the foundation of computers and digital devices. Each position represents a power of 2. Example: 1010 in binary = 1×8 + 0×4 + 1×2 + 0×1 = 10 in decimal.
Hexadecimal System
Uses 16 symbols (0-9 and A-F) and is a convenient shorthand for binary, where each hex digit represents 4 bits. Widely used in CSS colors (like #FF5733), memory addresses, and programming.
Practical Uses
- Software development and operating systems
- Electronic and digital circuit design
- CSS colors and web design
- Networks, IP and MAC addresses
- Encryption and information security
Note: This tool supports conversion between any base from 2 to 36 and uses BigInt for very large numbers. All processing happens locally in your browser.
Sources & References
Frequently Asked Questions
Supported systems include: Binary (base-2), Ternary (base-3), Quaternary (base-4), Quinary (base-5), Octal (base-8), Decimal (base-10), Duodecimal (base-12), Hexadecimal (base-16), plus any custom base from 2 to 36.
To convert binary to decimal, multiply each bit by 2 raised to the power of its position (starting from 0 on the right), then sum the results. Example: 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10.
Because it represents 4 bits with a single digit, making binary data easier to read. Used in CSS colors, memory addresses, byte values, and debugging.
Yes, the tool uses JavaScript BigInt for precise conversion of very large numbers without losing any digits. All processing happens locally in your browser.
Octal uses 8 symbols (0-7) and represents 3 bits per digit. Hexadecimal uses 16 symbols (0-9 and A-F) and represents 4 bits per digit. Hexadecimal is more common in modern programming.
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