XOR Calculator
Binary XOR Operation Calculator
Calculate XOR (exclusive OR) operations with support for binary, decimal, and hexadecimal formats.
Input Values
XOR Truth Table:
A
B
A XOR B
0
0
0
0
1
1
1
0
1
1
1
0
What is XOR?
XOR (exclusive OR) is a logical operation that outputs true only when inputs differ.
Rule:
0 XOR 0 = 0
0 XOR 1 = 1
1 XOR 0 = 1
1 XOR 1 = 0
Properties:
• Commutative: A XOR B = B XOR A
• Associative: (A XOR B) XOR C = A XOR (B XOR C)
• Self-inverse: A XOR A = 0
• Identity: A XOR 0 = A
Features
- Binary, decimal, hex support
- Step-by-step calculation
- Bit-by-bit XOR operation
- Multiple output formats
- XOR truth table
- Auto-padding for different lengths
- Copy results
- Quick examples
- Input validation
XOR Properties
Commutative:
A ⊕ B = B ⊕ A
Associative:
(A ⊕ B) ⊕ C = A ⊕ (B ⊕ C)
Self-Inverse:
A ⊕ A = 0
Identity:
A ⊕ 0 = A
Common Uses
Encryption:
Simple cipher operations
Error Detection:
Parity checks and checksums
Data Manipulation:
Toggle bits, swap values
Networking:
IP address calculations
Use Cases
- Cryptography and encryption
- Error detection and correction
- Data compression
- Computer graphics
- Network protocols
- Digital circuit design
- Programming and algorithms
- Data integrity checks
Applications
Real-World Applications:
Cryptography:
One-time pad encryption, stream ciphers
Networking:
Checksum calculations, RAID systems
Programming:
Swap variables without temp, toggle flags
Hardware:
Digital logic circuits, parity generators
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