What is the average time complexity of searching for an element in a sorted arra

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Question: What is the average time complexity of searching for an element in a sorted array using binary search?

Options:

Correct Answer: O(log n)

Solution:

Binary search divides the array in half each time, leading to a time complexity of O(log n) for searching.

What is the average time complexity of searching for an element in a sorted array using binary search?

What is the average time complexity of searching for an element in a sorted array using binary search?

Step 1: Understand that binary search is a method used to find an element in a sorted array.
Step 2: Know that binary search works by repeatedly dividing the array in half.
Step 3: Each time you divide the array, you eliminate half of the elements from consideration.
Step 4: This process continues until you either find the element or there are no more elements to check.
Step 5: The number of times you can divide the array in half is related to the logarithm of the number of elements in the array.
Step 6: Therefore, the average time complexity of searching for an element using binary search is O(log n), where n is the number of elements in the array.

Binary Search – A search algorithm that finds the position of a target value within a sorted array by repeatedly dividing the search interval in half.
Time Complexity – A computational complexity that describes the amount of time it takes to run an algorithm as a function of the length of the input.
Sorted Array – An array in which the elements are arranged in a specific order, typically ascending or descending.