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How does binary search determine the middle element of the array?

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Question: How does binary search determine the middle element of the array?

Options:

  1. Using the first and last index
  2. Using the average of all elements
  3. Using the median value
  4. Using a random index

Correct Answer: Using the first and last index

Solution: 

Binary search calculates the middle element using the formula (low + high) / 2, where low and high are the current bounds.

How does binary search determine the middle element of the array?

Practice Questions

Q1
How does binary search determine the middle element of the array?
  1. Using the first and last index
  2. Using the average of all elements
  3. Using the median value
  4. Using a random index

Questions & Step-by-Step Solutions

How does binary search determine the middle element of the array?
  • Step 1: Identify the current bounds of the array. These are represented by two variables: 'low' (the starting index) and 'high' (the ending index).
  • Step 2: Use the formula (low + high) / 2 to calculate the middle index of the array. This gives you the position of the middle element.
  • Step 3: If the array has an even number of elements, this formula will give you the lower of the two middle indices.
  • Binary Search Algorithm – A search algorithm that finds the position of a target value within a sorted array by repeatedly dividing the search interval in half.
  • Middle Element Calculation – The method of determining the middle index of the current search range using the formula (low + high) / 2.
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