Why can't you check if a negative number is odd by comparing the remainder of division by 2 with 1?

When i compare remainder with 1, it doesn't work as i expect:

int t = (-3 % 2) == 1; printf("is odd: %d\n", t);

result is: 0

When i compare with 0:

int t = (-3 % 2) != 0

then it works.

Can you explain why?

Look at the output of the following small program, this will answer your question.

int main()
{
  printf(" 3%%2 = %d\n", 3%2);
  printf("-3%%2 = %d\n", -3%2);
}

Output:

 3%2 = 1 
-3%2 = -1