Free Online Number Base Converter
Convert between binary, decimal, hexadecimal, and octal numeral systems with our powerful online tool. Perform bitwise operations, calculate two's complement, validate inputs, and track your conversion history—all in real-time. Perfect for programmers, computer science students, and electronics engineers working with different number systems.
Conversion Result
Enter valid values to see conversion result
| Decimal | Binary | Hexadecimal | Octal |
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Base Conversion Insights
- Binary (base-2): Fundamental for computer systems and digital logic
- Octal (base-8): Useful for Unix file permissions and representing binary more compactly
- Hexadecimal (base-16): Ideal for memory addresses, color codes, and compact binary representation
Number bases are fundamental to computing and digital systems. Different bases serve specific purposes in various computing contexts.
Binary (Base-2)
- Digits: 0 and 1
- Usage: Computer processors, memory, digital circuits
- Example: 1101₂ = 13₁₀
- Advantage: Directly represents electronic on/off states
Hexadecimal (Base-16)
- Digits: 0-9, A-F
- Usage: Memory addresses, color codes, assembly language
- Example: 1F₈ = 31₁₀
- Advantage: Compact representation of binary (4 bits per hex digit)
Why Multiple Bases Matter:
Different number bases serve different purposes in computing. Binary is fundamental to hardware, hexadecimal provides compact representation for debugging, and decimal remains intuitive for humans. Understanding conversions between these bases is essential for programming, digital design, and computer architecture.
Multi-Base Conversion
Convert between binary, octal, decimal, hexadecimal, base32, base36, and base64 with precision
Bitwise Operations
Perform AND, OR, XOR, NOT, and shift operations with visual binary representation
Two's Complement
Calculate two's complement for signed integer representation with step-by-step explanation
Conversion History
Track your conversions with export/import functionality for continued work sessions
- Alex T., Software Engineer“This number base converter is incredibly accurate for low-level programming. The real-time validation and bit visualization help debug binary operations efficiently.”
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