Calculate XOR

XOR is a logical operation that outputs true (1) only when inputs differ. If both inputs are the same (both 0 or both 1), the output is false (0). It's commonly used in digital electronics, cryptography, and programming.

XOR operates on the binary representation of numbers. Our calculator automatically converts decimal and hexadecimal inputs to binary, performs the XOR operation, and displays results in all three formats for convenience.

XOR is used in error detection (parity bits), simple encryption (one-time pads), data validation, and digital logic circuits. It's also fundamental in many cryptographic algorithms and hash functions.

The step-by-step breakdown shows each bit position and the XOR operation performed. For example, 'Position 1: 1 ⊕ 0 = 1' means at the first bit position, 1 XOR 0 equals 1. This helps you understand how the result is calculated.

Yes! Our calculator automatically pads shorter binary numbers with leading zeros to match the length of the longer number before performing the XOR operation. This ensures accurate results regardless of input length.

Unlike AND (both must be 1) or OR (at least one must be 1), XOR outputs 1 only when exactly one input is 1. This makes it unique and useful for detecting differences between binary values.

XOR is fundamental in cryptography because it's reversible - applying XOR twice with the same key returns the original data. This property makes it useful for simple encryption schemes and one-time pads.

In programming, XOR is used for swapping variables without temporary storage, checking for odd/even numbers, finding single numbers in arrays, and implementing simple hash functions. It's also used in bit manipulation and low-level programming.