Binary search works on sorted arrays. Binary search begins by comparing an element in the middle of the array with the target value. If the target value matches the element, its position in the array is returned. If the … See more

Sorted arrays with binary search are a very inefficient solution when insertion and deletion operations are interleaved with retrieval, taking $${\textstyle O(n)}$$ time for each such … See more

The idea of sorting a list of items to allow for faster searching dates back to antiquity. The earliest known example was the Inakibit-Anu tablet from Babylon dating back to c. 200 BCE. … See more

Many languages' standard libraries include binary search routines:
• C provides the function bsearch() in its standard library, which is typically implemented via … See more

In terms of the number of comparisons, the performance of binary search can be analyzed by viewing the run of the procedure on a … See more

Uniform binary search
Uniform binary search stores, instead of the lower and upper bounds, the difference in the index of the middle element from the current iteration to the next iteration. A lookup table containing the differences is computed … See more

Although the basic idea of binary search is comparatively straightforward, the details can be surprisingly tricky— Donald Knuth
When See more