Question: What is the best-case time complexity of binary search?
Options:
O(n)
O(log n)
O(1)
O(n log n)
Correct Answer: O(1)
Solution:
In the best case, the target element is found at the middle of the array, resulting in a time complexity of O(1).
What is the best-case time complexity of binary search?
Practice Questions
Q1
What is the best-case time complexity of binary search?
O(n)
O(log n)
O(1)
O(n log n)
Questions & Step-by-Step Solutions
What is the best-case time complexity of binary search?
Step 1: Understand what binary search is. It is a method to find an element in a sorted array by repeatedly dividing the search interval in half.
Step 2: Identify the best-case scenario. The best case occurs when the target element is located at the middle of the array on the first check.
Step 3: Recognize that if the target is found immediately, no further comparisons are needed.
Step 4: Conclude that finding the target in the middle takes a constant amount of time, which is represented as O(1).
Best-case time complexity – The best-case time complexity of an algorithm is the minimum time required to complete the algorithm under optimal conditions.
Binary search – Binary search is an efficient algorithm for finding an item from a sorted list of items by repeatedly dividing the search interval in half.
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