I was asked if a Binary Search is a divide and conquer algorithm at an exam. My answer was yes, because you divided the problem into smaller subproblems, until you reached y
I think it is not divide and conquer, see first paragraph in http://en.wikipedia.org/wiki/Divide_and_conquer_algorithm
recursively breaking down a problem into two or more sub-problems which are then combined to give a solution
In binary search there is still only one problem which does just reducing data by half every step, so no conquer (merging) phase of the results is needed.