One Punch XOR

Saitama is the strongest man alive but he is afraid of XOR (Everyone has some kind of weakness). He has a starting value $K$ and decides to make an array using this initial value $K$. He keeps the first number of array as $K$ and then he takes a number $N$, and decides to add $N$ numbers to this array, such a way that the next number is $2^i$ more than the previous number. (Here $i$ is the index