XOR Calculator Online | Find XOR of two numbers
Last Updated :
13 Oct, 2023
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:
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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