Binary Calculator
Convert & Calculate in Binary, Decimal, Hex & Octal
Professional binary calculator for number system conversions and bitwise operations. Convert between binary, decimal, hexadecimal, and octal with ease. Essential for programmers and computer science students.
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Binary Calculator
Convert between number systems and perform binary operations
Convert between binary, decimal, hexadecimal, and octal number systems
Quick Examples
Result
Binary calculation result in all number systems
Enter valid inputs to see the binary calculation result
Understanding Binary Numbers
Learn how binary and other number systems work in computing.
What is Binary?
Binary is a base-2 number system using only 0 and 1. It's the fundamental language of computers, representing all data as sequences of bits.
Number Systems
Binary (base-2), Decimal (base-10), Hexadecimal (base-16), and Octal (base-8) are common number systems used in computing.
Bitwise Operations
AND, OR, XOR, NOT, and shift operations manipulate individual bits. Essential for low-level programming and optimization.
Hexadecimal
Hex uses 0-9 and A-F (16 values). One hex digit represents 4 binary bits, making it compact for representing binary data.
Binary in Memory
Computers store everything in binary: 8 bits = 1 byte, 1024 bytes = 1 KB. Understanding binary helps with memory management.
Practical Applications
Network addresses, color codes (#FFFFFF), file permissions, and encryption all use binary and hexadecimal representations.
Number System Reference
Binary (Base 2)
- Digits: 0, 1
- Example: 1010 = 10
- Prefix: 0b
- Used by computers
Decimal (Base 10)
- Digits: 0-9
- Example: 255
- No prefix needed
- Human standard
Hexadecimal (Base 16)
- Digits: 0-9, A-F
- Example: FF = 255
- Prefix: 0x
- Colors, memory
Octal (Base 8)
- Digits: 0-7
- Example: 377 = 255
- Prefix: 0o
- File permissions
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