problem to use carets for swap of two number

The caret operator ^ has two uses in C#:

1. As a logical operator which returns the 'exclusive or' of its two bool operands, A and B. In other words it returns true if either A or B (but not both) are true and false otherwise.

2. As a bitwise operator which operates on the respective bits of its two integer operands, C and D. The corresponding bit of the result is 1 if the bits of either C or D (but not both) are 1 and 0 otherwise. 

In the following code 'a' and 'b' are integers and so ^ is being used as a bitwise operator: 

a ^= b

b ^= a

a ^= b

To try and understand how this code works, let's consider a simple example where a = 1 and b = 0. If we write down the least significant eight bits of each integer, we have:

/* a ^= b */

a = 00000001

b = 00000000

-----------------

a = 00000001

/* b ^= a */

b = 00000000

a = 00000001

-----------------

b = 00000001

/* a ^= b */

a = 00000001

b = 00000001

-----------------

a = 00000000

So we end up with a = 0 and b = 1 showing that we've swapped their initial values.