🎯 About Number System Converter

Our Number System Converter helps you convert numbers between different numeral systems: Binary (Base 2), Octal (Base 8), Decimal (Base 10), and Hexadecimal (Base 16).

The tool provides instant conversions along with detailed step-by-step explanations, making it perfect for students learning number systems and programmers working with different bases.

📝 How to Use

  • Select your input number system (Decimal, Binary, Octal, or Hexadecimal)
  • Enter the number you want to convert
  • Click "Convert Number" to see results in all four systems
  • Read the step-by-step explanation to understand the conversion process

📊 Number Systems Explained

  • Binary (Base 2): Uses only 0 and 1. Each digit represents a power of 2. Used in computer systems and digital electronics.
  • Octal (Base 8): Uses digits 0-7. Each digit represents a power of 8. Often used in computing as a more compact representation than binary.
  • Decimal (Base 10): Uses digits 0-9. The standard number system used in everyday life. Each digit represents a power of 10.
  • Hexadecimal (Base 16): Uses 0-9 and A-F. Each digit represents a power of 16. Widely used in programming, especially for memory addresses and colors.

✨ Key Features

  • 4 Number Systems: Convert between Binary, Octal, Decimal, and Hexadecimal
  • Step-by-Step Explanations: Learn how conversions work with detailed breakdowns
  • Instant Results: See all conversions simultaneously
  • Input Validation: Ensures you enter valid numbers for each system
  • Educational: Perfect for learning and understanding number systems
  • 100% Free: No registration or payment required
  • Privacy Focused: All conversions happen in your browser

💡 Common Uses

  • Computer science and programming education
  • Digital electronics and circuit design
  • Understanding computer memory addresses
  • Converting color codes (hex to decimal)
  • Network subnet calculations
  • Debugging and system programming
  • Learning binary arithmetic
  • Homework and exam preparation

📖 Quick Reference Table

Here's how numbers 0-15 look in different systems:

Decimal Binary Octal Hexadecimal
1 0001 1 1
2 0010 2 2
3 0011 3 3
4 0100 4 4
5 0101 5 5
6 0110 6 6
7 0111 7 7
8 1000 10 8
9 1001 11 9
10 1010 12 A
11 1011 13 B
12 1100 14 C
13 1101 15 D
14 1110 16 E
15 1111 17 F