## What is the XOR operation?

(eXclusive OR) A Boolean logic operation that is widely used in cryptography as well as in generating parity bits for error checking and fault tolerance. XOR compares two input bits and generates one output bit. The logic is simple. If the bits are the same, the result is 0.

## What is XOR example?

Examples: 1 XOR 1 = 0. 1 XOR 0 = 1. 0 XOR 0 = 0. 11102 XOR 10012 = 01112 (this is equivalent to addition without carry)

## What is XOR in math?

A connective in logic known as the “exclusive or,” or exclusive disjunction. It yields true if exactly one (but not both) of two conditions is true. The XOR operation does not have a standard symbol, but is sometimes denoted (this work) or. (Simpson 1987, pp. 539 and 550-554).

## How is XOR calculated?

XOR is defined as exclusive or for two integers say a and b. To find XOR, we will first find the binary representation of both a and b. Lets do this also by example. Suppose a = 7 and b = 10.

## Where is XOR used?

XOR represents the inequality function, i.e., the output is true if the inputs are not alike otherwise the output is false. A way to remember XOR is “must have one or the other but not both”. XOR can also be viewed as addition modulo 2. As a result, XOR gates are used to implement binary addition in computers.

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## What is a XOR 1?

XOR is a logical operator that works on bits. Let’s denote it by ^. If the two bits it takes as input are the same, the result is 0, otherwise it is 1. This implements an exclusive or operation, i.e. exactly one argument has to be 1 for the final result to be 1.

## What is the difference between OR and XOR?

xor is only true when either \$x or \$y is true, but not both (as the case for or ). xor means “exclusive or”. That is to say, it’s or, but with the single change that if both parameters to the operation are true, the answer is false.

## Does XOR order matter?

Important properties of XOR

This is clear from the definition of XOR: it doesn’t matter which way round you order the two inputs. This means that XOR operations can be chained together and the order doesn’t matter. This means that any value XOR‘d with zero is left unchanged.

## How do you reverse XOR?

XOR, however, can be reversed if and only if you define a decryption key which in case of your question, it is not applicable. The best practice to merge two sets of numbers and still be able to get back the original data can be done by creating a 2 linear and 2 unknown equation.

## Why is it called XOR?

An XOR gate (sometimes referred to by its extended name, Exclusive OR gate) is a digital logic gate with two or more inputs and one output that performs exclusive disjunction. The output of an XOR gate is true only when exactly one of its inputs is true.

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## How does XOR cipher work?

XOR cipher employs the XOR logical operation in order to encrypt data. First, a random key is generated. Then, XOR operation is performed using the key so that an encrypted data is created. In order to decrypt, the same key should be used and XOR operation should be run again.

## Is XOR reversible?

With a key that is truly random, the result is a one-time pad, which is unbreakable even in theory. They probably meant XOR is reversible, unlike either AND or OR. On the receiving end, you can XOR the encrypted stream with the same key stream, and get the plaintext back.

## What is XOR in Python?

XOR, also known as “exclusive or”, compares two binary numbers bitwise. If both bits are the same, XOR outputs 0. If the bits are different, XOR outputs 1. For instance, performing XOR on 6 and 3 (binary 110 and 011, respectively) results in 5 (binary 101).