XOR Operator

what is the XOR in python?

In Python, XOR is a bitwise operator that is also known as Exclusive OR.

The symbol for XOR in Python is ‘^’ and in mathematics, its symbol is ‘⊕’.

Syntax

xor_num = num1 ^ num2

The properties of XOR operation are as follows:

• Reflexivity: A number XORed with itself results in 0. That is, $ x \oplus x = 0 $.
• Identity: Any number XORed with 0 results in the number itself. That is, $ x \oplus 0 = x $.
• Commutativity: The order of operands does not affect the result of the XOR operation. That is,$ x \oplus y = y \oplus x $.
• Associativity: The XOR operation can be grouped in any order without affecting the result. That is, $ x \oplus (y \oplus z) = (x \oplus y) \oplus z $.

A (Input)	B (Input)	$ A \oplus B $ (Output)
0	0	0
0	1	1
1	0	1
1	1	0

Truth table for XOR (boolean)

A	B	$ A \oplus B $
False	False	False
True	False	True
False	True	True
True	True	False