Binary Search AlgorithmIn this article, we will discuss the Binary Search Algorithm. Searching is the process of finding some particular element in the list. If the element is present in the list, then the process is called successful, and the process returns the location of that element. Otherwise, the search is called unsuccessful. Linear Search and Binary Search are the two popular searching techniques. Here we will discuss the Binary Search Algorithm. Binary search is the search technique that works efficiently on sorted lists. Hence, to search an element into some list using the binary search technique, we must ensure that the list is sorted. Binary search follows the divide and conquer approach in which the list is divided into two halves, and the item is compared with the middle element of the list. If the match is found then, the location of the middle element is returned. Otherwise, we search into either of the halves depending upon the result produced through the match. NOTE: Binary search can be implemented on sorted array elements. If the list elements are not arranged in a sorted manner, we have first to sort them.Now, let's see the algorithm of Binary Search. AlgorithmWorking of Binary searchNow, let's see the working of the Binary Search Algorithm. To understand the working of the Binary search algorithm, let's take a sorted array. It will be easy to understand the working of Binary search with an example. There are two methods to implement the binary search algorithm 
The recursive method of binary search follows the divide and conquer approach. Let the elements of array are  Let the element to search is, K = 56 We have to use the below formula to calculate the mid of the array  So, in the given array  beg = 0 end = 8 mid = (0 + 8)/2 = 4. So, 4 is the mid of the array. Now, the element to search is found. So algorithm will return the index of the element matched. Binary Search complexityNow, let's see the time complexity of Binary search in the best case, average case, and worst case. We will also see the space complexity of Binary search. 1. Time Complexity
2. Space Complexity
Implementation of Binary SearchNow, let's see the programs of Binary search in different programming languages. Program: Write a program to implement Binary search in C language. Output Program: Write a program to implement Binary search in C++. Output Program: Write a program to implement Binary search in C#. Output Program: Write a program to implement Binary search in Java. Output Program: Write a program to implement Binary search in PHP. Output So, that's all about the article. Hope the article will be helpful and informative to you.
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