Bitwise XOR (exclusive OR) is a binary operation that takes two equal-length binary representations and performs the logical exclusive OR operation on each pair of corresponding bits. The result is 1 if the bits are different and 0 if they are the same, making it useful for tasks like toggling bits, encryption, and error detection.

Bitwise XOR

Exclusive OR (XOR) is a logical operation that outputs true only when inputs differ, meaning one is true and the other is false. It is fundamental in digital circuits and cryptography, often used for parity checks and error detection.

exclusive OR

A binary operation is a calculation that combines two elements (operands) to produce another element within the same set. It is fundamental in algebraic structures such as groups, rings, and fields, where it must satisfy specific properties like closure, associativity, identity, and invertibility depending on the structure.

binary operation

equal-length binary representations

logical exclusive OR operation

corresponding bits

result is 1

Result is 0

toggling bits

Encryption is the process of converting information or data into a code to prevent unauthorized access, ensuring confidentiality and data integrity. It is a fundamental technology in cybersecurity, used in various applications such as securing communications, protecting sensitive data, and verifying identities.

encryption

Error detection is a critical process in computing and data transmission that identifies and signals the presence of errors in data. It ensures data integrity and reliability by using algorithms and techniques to detect discrepancies between the received data and what was expected.

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