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What is the time complexity of binary search in the best case scenario?

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Question: What is the time complexity of binary search in the best case scenario?

Options:

  1. O(1)
  2. O(log n)
  3. O(n)
  4. 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 time complexity of binary search in the best case scenario?

Practice Questions

Q1
What is the time complexity of binary search in the best case scenario?
  1. O(1)
  2. O(log n)
  3. O(n)
  4. O(n log n)

Questions & Step-by-Step Solutions

What is the time complexity of binary search in the best case scenario?
  • 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. This occurs when the target element is located at the middle index of the array.
  • Step 3: In the best case, you only need to check one element (the middle one) to find the target.
  • Step 4: Since you only perform one operation to find the target, the time taken is constant.
  • Step 5: Therefore, the time complexity in the best case is O(1).
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