Contents

- 1 What is the XOR operation?
- 2 What is XOR example?
- 3 What is XOR in math?
- 4 How is XOR calculated?
- 5 Where is XOR used?
- 6 What is a XOR 1?
- 7 What is the difference between OR and XOR?
- 8 Does XOR order matter?
- 9 How do you reverse XOR?
- 10 Why is it called XOR?
- 11 How does XOR cipher work?
- 12 Is XOR reversible?
- 13 What is XOR in Python?

## 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.

## 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.

## 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).