Learn Binary Search in C++ with Simple Animations

Binary search is a powerful algorithm that helps us find elements in a sorted array quickly and efficiently.Let's start with a sorted array of seven numbers.The first key requirement is that the array must be sorted. In our case, the numbers are arranged in ascending order.Binary search starts by finding the middle element of the array.Since 9 is greater than 7, we can eliminate the entire left half of the array and focus only on the right half.Now we find the middle of the remaining elements. The new middle element is 11.Since 9 is less than 11, we eliminate the right portion and focus on the remaining elements.And we've found our target value 9! This demonstrates how binary search efficiently narrows down the search space by half in each step.This divide-and-conquer approach makes binary search extremely efficient for large sorted arrays.Now let's implement binary search in C++, starting with our function declaration.First, we declare our variables: left pointer at index zero, right pointer at the last index, and mid for our middle position.The while loop continues as long as left is less than or equal to right, meaning we still have a valid search space.We calculate the middle index using this formula to avoid integer overflow that could occur with (left + right) / 2.Let's visualize how these pointers move through an array as we implement the three conditions.When we find the target value at the middle position, we return that index immediately.If the middle value is less than our target, we move the left pointer to mid plus one, eliminating the lower half.Otherwise, if the middle value is greater than our target, we move the right pointer to mid minus one, eliminating the upper half.Finally, if we've searched the entire valid space and haven't found the target, we return negative one to indicate the value wasn't found.Let's watch how the pointers move during a complete search sequence.