I don't get it. why not just look look at the last binary bit?
printf("%d is %s\n", n, last_binary_bit(n) == 0 ? "even" : "odd");
and the rest is trivial: int last_binary_bit(int n) {
if (n == 0) return 0;
if (n == 1) return 1;
if (n == 2) return 0;
...
}
Come to think of it, with a little fancy math you could divide and conquer: int last_binary_bit(int n) {
// Handle the easy cases.
if (n == 0) return 0;
if (n == 1) return 1;
// Number may be large. Divide and conquer. It doesn't matter where we split it,
// so use a randomized algorithm because those are fast.
for (;;) {
int r = random();
if (r