🎯 Professional Number System Converter
🔢 Multiple Number Systems
Convert seamlessly between binary, decimal, hexadecimal, and octal number systems with real-time validation.
- Binary (Base 2): 0, 1
- Decimal (Base 10): 0-9
- Hexadecimal (Base 16): 0-9, A-F
- Octal (Base 8): 0-7
- Real-time conversion & validation
⚡ Advanced Features
Professional tools for programming, education, and technical applications.
- Bit visualization & manipulation
- Detailed breakdown analysis
- Programming examples
- Educational explanations
- Copy-paste functionality
💼 Common Applications
Essential tool for programmers, students, and technical professionals.
- Programming & development
- Computer science education
- Digital electronics design
- System administration
- Debugging & troubleshooting
🔢
Simple Conversion
Convert decimal 255 to all number systems
255 → FF₁₆ → 11111111₂
💻
Programming Values
Common programming constants and values
1024 → 0x400 → 2000₈
🎨
Color Codes
Convert RGB color values to hex
RGB(255,0,0) → #FF0000
💾
Memory Addresses
Convert memory addresses between formats
32768 → 0x8000 → 100000₈
🔍 Detailed Number Analysis
Input Value:
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Input Base:
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Decimal Value:
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Binary (8-bit):
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Binary (16-bit):
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Binary (32-bit):
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Hexadecimal (Uppercase):
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Hexadecimal (Lowercase):
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Octal:
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Number of Bits:
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Max Value (n-bit):
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Powers of 2:
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💡 Common Use Cases & Examples
💻 Programming Applications
Essential conversions for software development and programming.
- Memory address calculations
- Bitwise operations and flags
- Color code conversions (RGB to hex)
- File permissions (Unix/Linux)
- Network addressing and subnetting
🎓 Educational Examples
Learning examples for computer science and digital logic.
- Number system fundamentals
- Digital logic design
- Computer architecture concepts
- Data representation principles
- Algorithm optimization examples
🔧 System Administration
Technical applications for IT professionals and system administrators.
- File permission calculations
- IP address and subnet calculations
- Hardware register values
- Configuration file parameters
- Debugging and troubleshooting
🎨 Design & Graphics
Color and graphics-related number conversions.
- RGB to hexadecimal color codes
- Pixel value calculations
- Image processing parameters
- Display resolution calculations
- Graphics programming values
⚡ Digital Electronics
Hardware and electronics applications.
- Logic gate truth tables
- Microcontroller programming
- Sensor data interpretation
- Signal processing values
- Hardware interface design
🛡️ Security & Cryptography
Security-related number system applications.
- Hash value representations
- Encryption key formats
- Security token calculations
- Access control permissions
- Cryptographic algorithm parameters
📚 Number Systems Reference Guide
🔢 Binary System (Base 2)
The fundamental number system in digital computing using only 0 and 1.
- Digits: 0, 1
- Used in digital circuits and computing
- Each position represents a power of 2
- Example: 1101₂ = 8 + 4 + 0 + 1 = 13₁₀
- Essential for understanding computer architecture
🔟 Decimal System (Base 10)
The standard number system used in everyday mathematics and counting.
- Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
- Natural counting system for humans
- Each position represents a power of 10
- Example: 1234₁₀ = 1000 + 200 + 30 + 4
- Base for most mathematical operations
🅰️ Hexadecimal System (Base 16)
Compact representation system commonly used in programming and computing.
- Digits: 0-9, A-F (A=10, B=11, C=12, D=13, E=14, F=15)
- Compact representation of binary data
- Each hex digit represents 4 binary digits
- Example: FF₁₆ = 15×16 + 15 = 255₁₀
- Used for memory addresses, color codes
🔸 Octal System (Base 8)
Number system using eight digits, historically important in computing.
- Digits: 0, 1, 2, 3, 4, 5, 6, 7
- Each octal digit represents 3 binary digits
- Used in Unix file permissions
- Example: 755₈ = 7×64 + 5×8 + 5 = 493₁₀
- Common in legacy systems and embedded programming
🔄 Conversion Methods
Techniques for converting between different number systems.
- Decimal to Binary: Repeated division by 2
- Binary to Decimal: Sum of powers of 2
- Decimal to Hex: Repeated division by 16
- Hex to Binary: Each hex digit = 4 binary digits
- Octal to Binary: Each octal digit = 3 binary digits
⚡ Programming Applications
Practical uses of number systems in software development.
- Bitwise operations and bit manipulation
- Memory addressing and pointer arithmetic
- Color representation in graphics programming
- Network protocols and data encoding
- Cryptography and hash algorithms