Number Base Converter
Convert between decimal, binary, hexadecimal, octal and any base up to 36.
—————💡 Click any result row to use it as a new input. All conversions are instant and client-side.
About the Number Base Converter
This binary, hex, decimal and octal converter shows all four representations at once rather than one conversion at a time. Type a value in whichever base you happen to have and the other three update immediately, which is what makes it genuinely useful while debugging a register or bitmask.
A binary, hex, decimal and octal converter covers the four bases programming actually uses. Hex appears in colour codes, memory addresses and byte values; binary in bit masks and flags; octal in Unix permissions; decimal everywhere else.
Showing all four simultaneously is the point. When you are reading a register value or a bitmask, the useful question is usually "which bits does 0x2C set" — and that requires seeing hex and binary side by side rather than converting one at a time.
The relationships are worth internalising: one hex digit is exactly four binary digits, and one octal digit is exactly three. That is why hex is the compact way to write binary, and why chmod values are octal — three permission bits per digit.
How to use the Number Base Converter
- Type a value. Enter the number in whichever base you have.
- Read the others. Binary, octal, decimal and hex all update together.
- Check the bits. Compare the hex and binary forms to see which bits are set.
- Copy what you need. Take the representation you want.
Number Base Converter features
- Multiple base systems
- Binary octal decimal hex
- Bidirectional conversion
- Mathematical accuracy
- Programming applications
- Computer science focus
- Real-time conversion
- Professional validation
- Educational tool
- Programming essential
Frequently asked questions
What number bases are supported?
Complete support for: Binary (Base 2), Octal (Base 8), Decimal (Base 10), and Hexadecimal (Base 16). Bidirectional conversion between all bases with proper notation (0b, 0o, 0x) and validation for accurate mathematical conversions.
How does number base conversion work?
Uses mathematical algorithms to convert between number systems. Converts input to decimal as intermediate, then to target base. Handles integer values with proper digit validation (0-1 for binary, 0-7 for octal, 0-9/A-F for hexadecimal).
What are the applications of base conversion?
Essential for: computer programming, digital electronics, network addressing, memory addressing, color codes, binary calculations, computer science education, and understanding how computers represent and process data.
How is hexadecimal different from binary?
Hexadecimal (base-16) uses 16 digits (0-9, A-F) representing 4 binary digits each. More compact than binary (base-2) which uses only 0 and 1. Hex is commonly used in programming for memory addresses and color codes.
What are common use cases for each base?
Binary for digital logic and low-level programming, octal for Unix file permissions and legacy systems, decimal for human-readable numbers, hexadecimal for memory addresses, colors, and compact binary representation.
Can this handle large number conversions?
Yes! Supports large integer conversions with JavaScript's Number precision limits. Handles typical programming ranges, memory addresses, and mathematical calculations while maintaining accuracy across all base conversions.
Is this suitable for computer science education?
Absolutely! Perfect for students learning number systems, programmers understanding data representation, and anyone studying computer science fundamentals. Essential for understanding how computers process and store data.