Swapping of variables without Third Variable using XOR Logic

I found new logic for this question, all know the using +,-,*,/ but this is something different logic. I used the electronic Ex-OR logic for swap two values. First understand how to use it.

Ex-OR Gate

Understand the table for input and output.

A

B

ANS
0 0 0
0 1 1
1 0 1
1 1 0

In this above table A and B are the inputs for the Ex-OR gate. If one of input is 1 then ans is 1 otherwise 0. If two inputs are same then ans like 1 then ans 1 or 0 then ans 0.

Example

A = 4 and B = 6.

In electronic all values used in binary like 0 and 1.

They used following way for values.

16 8 4 2 1
0 0 0 0 1
0 0 0 1 0
0 0 1 0 0
0 1 0 0 0
1 0 0 0 0

In this example we used A = 4 means in binary it is 00100

and B = 6 means in binary it is 00110.

In Programming it is used like this,

using System;

using System.Collections.Generic;

using System.Linq;

using System.Text;

namespace SwapValue

{

    class Program

    {

        static void Main(string[] args)

        {

            Console.WriteLine("Swapping of value using XOR");

            Console.Write("Enter First Value - ");

            var a = Convert.ToInt64(Console.ReadLine());

            Console.Write("Enter Second Value - ");

            var b = Convert.ToInt64(Console.ReadLine());

            Console.WriteLine("Values Before Swap A = {0} and B = {1}", a, b);

            a = a ^ b;

            b = a ^ b;

            a = a ^ b;

            Console.WriteLine("Values After Swap A = {0} and B = {1}", a, b);

            Console.ReadKey();

        }

    }

}

Output

Let us discuss how it works,

(1) a = a ^ b

A = 4 means 00100

B = 6 means 00110 now apply Ex-OR gate add this two binary values

when we add this binary values using first table ans is 00010 in binary and in decimal is a = 2.

(2) b = a ^ b

A = 2 means 00010 and B = 6 means 00110 now apply Ex-OR gate add this two binary values

when we add this binary values using first table ans is 00100 in binary and in decimal is b = 4.

(3) a = a ^ b

A = 2 means 00010 and B = 4 means 00100 now apply Ex-OR gate add this two binary values

when we add this binary values using first table ans is 01100 in binary and in decimal is a = 6.

In this way you can swap two values without third variable. I hope you find this blog useful. Thanks for reading.