Binary Calculator
Perform arithmetic and bitwise operations on binary, decimal and octal numbers with detailed conversions.
Binary Calculator
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Enter numbers to perform binary calculations
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What is Binary Calculator?
A binary calculator performs mathematical and bitwise operations on numbers in different bases (binary, decimal, and octal). It supports standard arithmetic operations as well as bitwise operations commonly used in computer science and digital electronics.
Number Systems
- Binary (Base 2): Uses only digits 0 and 1, fundamental to computer systems
- Decimal (Base 10): Standard number system with digits 0-9
- Octal (Base 8): Uses digits 0-7, common in computing
Arithmetic Operations
- Addition: Adds two numbers together
- Subtraction: Subtracts the second number from the first
- Multiplication: Multiplies two numbers
- Division: Divides the first number by the second (integer division)
Bitwise Operations
- AND: Performs bitwise AND operation (1 & 1 = 1, others = 0)
- OR: Performs bitwise OR operation (0 | 0 = 0, others = 1)
- XOR: Performs exclusive OR (different bits = 1, same bits = 0)
- Left Shift: Shifts bits to the left (equivalent to multiplying by 2)
- Right Shift: Shifts bits to the right (equivalent to dividing by 2)
Common Applications
- Programming: Debugging, bit manipulation, performance optimization
- Digital Electronics: Logic circuit design, embedded systems
- Computer Science: Algorithm design, data structures, networking
- Cryptography: Encryption algorithms, hash functions
- System Administration: Network configuration, file permissions
FAQ - Binary Calculator
Binary is a base-2 number system using only 0s and 1s. It's fundamental to computers because digital circuits can easily represent these two states (on/off, high/low voltage). All computer operations ultimately rely on binary.