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XOR Calculator Online | Find XOR of two numbers

Last Updated : 13 Oct, 2023
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Online XOR Calculator is a free online tool to calculate XOR value of two integers. This geeksforgeeks online XOR Calculator makes the calculation faster and it displays the conversion in a fraction of seconds.

XOR Operator:

XOR is a bitwise operator, and it stands for “exclusive or.” It performs logical operation. If input bits are the same, then the output will be false(0) else true(1).

XOR Gate Formula:

The Exclusive OR (or XOR) relationship F = A ⊕ B is defined by the truth tables shown below:

XOR truth table:

X Y X^Y
0 0 0
0 1 1
1 0 1
1 1 0

How to Calculate XOR of Two Decimal numbers Online:

To find out the XOR value of two numbers we can convert it into binary representation and then do the logical XOR operation on each bit and then convert it into a decimal value .

XOR examples:

Input : A = 7 , B = 9

Output: 14

Explanation : A = 7 ( 0111 )2 , B = 9 ( 1001 )2

  • 1st bit of A = 1 and B = 1 so XOR value will be 0
  • 2nd bit of A = 1 and B = 0 so XOR Value will be 1
  • 3rd bit of A = 1 and B = 0 so XOR Value will be 1
  • 4th bit of A = 0 and B = 1 so XOR Value will be 1

XOR value has binary representation : (1110)2

Decimal value of XOR = 14

FAQs on Online XOR Calculator

1. What is the XOR of 5 and 3?

XOR value of 5 and 3 will be 6.

Explanation : Convert 5 and 3 to their binary representations, i.e. 101 and 011. Then use the table to determine that 101 XOR 011 , i.e. 110, which is the binary representation of the decimal number 6.

2. What is the XOR of two sets?

The XOR of two sets A and B, contains all the elements that are either in set A or set B, but not in both. It can be calculated as: A XOR B = (A Union B) – (A Intersection B)

3. What is XOR Sum?

XOR sum refers to successive XOR operations on integers.
Suppose you have numbers from 1 to N and you have to find their XOR sum then :

For N = 6, XOR sum will be 1^2^3^4^5^6 = 7.


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