The property of judging odd or even numbers about XOR.

XOR can be simply understood as addition without carry , such as 2 The binary of is 10,1 The binary of is 01,1^2 As the result of the 3, Binary for 11.
Then this property can be used to judge whether odd numbers or even numbers .
The specific content
For example, an even number is 6, Its binary is 110;1 The binary of is 001, that 6^1 As the result of the 7, Binary for 111, Do all even numbers have this property ？ Yes , Because the last bit of even binary must be 0, and 1 The last bit of binary must be 1, So all even XORs 1 The result is the original number plus 1 Result .
For example, an odd number is 11, Its binary is 1011,1 The binary of is 0001, that 11^1 As the result of the 10, Binary for 1010. Do all odd numbers have this property ？ Yes , Because the last bit of odd binary must be 1, and 1 The last bit of binary must be 1, And because XOR operation can be understood as addition without carry , So all odd XORs 1 The result is the original number minus 1 Result .