Since, at each step the size of the (searchable) array is reduced to half (1/2), we could write the following recurrence relation for the Binary Search Algorithm
Binary Search is a divide and conquer algorithm that finds a particular element within a sorted array or a given integer range.
Strassen’s Algorithm for Matrix multiplication is a recursive algorithm for multiplying n x n matrices. Strassen’s algorithm is based on a familiar design technique – Divide & Conquer.
Quicksort is a sorting algorithm whose worst-case running time is O(n^2), for an input of size n. Quicksort, in spite of having worse time complexity than Merge Sort which is O(nlogn), it is a better practical choice for sorting. This is because it is remarkably efficiently on average cases, where its time complexity is O(nlogn).