[danbruc]

Yes, because XORing two consecutive integers only differing in the least significant bit yields one.

  xxxxxxx0 ^ xxxxxxx1 = 00000001 

Doing this twice with four consecutive numbers then also cancels the remaining one. That also means that you do not have to use consecutive numbers, you can use two arbitrary pairs

  2m ^ 2m + 1 ^ 2n ^ 2n + 1

and for example

  16 ^ 17 ^ 42 ^ 43

should be zero.