Describe the main differences between the iterative and recursive implementations of the binary search algorithm. what is the time complexity of each version?

The main differences between iterative and recursive Binary Search are as following:-

Space complexity:-The space complexity of iterative method of binary search is O(1) while the space complexity of recursive method is O(logn) because in the recursive method the when using recursion the function calls uses stack space which increases the space complexity of the solution while iterative method does not uses any extra space so it's space complexity is O(1).In recursive method you will not find any loops because in recursive method the function calls itself while in iteration it uses loops.