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In binary search, what is the formula to find the middle index?

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Question: In binary search, what is the formula to find the middle index?

Options:

  1. (low + high) / 2
  2. (low + high) / 2 + 1
  3. (low + high) / 2 - 1
  4. low + high

Correct Answer: (low + high) / 2

Solution: 

The middle index is calculated using (low + high) / 2.

In binary search, what is the formula to find the middle index?

Practice Questions

Q1
In binary search, what is the formula to find the middle index?
  1. (low + high) / 2
  2. (low + high) / 2 + 1
  3. (low + high) / 2 - 1
  4. low + high

Questions & Step-by-Step Solutions

In binary search, what is the formula to find the middle index?
  • Step 1: Identify the low index, which is the starting index of the search range.
  • Step 2: Identify the high index, which is the ending index of the search range.
  • Step 3: Add the low index and the high index together.
  • Step 4: Divide the result from Step 3 by 2 to find the middle index.
  • Binary Search – A search algorithm that finds the position of a target value within a sorted array.
  • Index Calculation – Understanding how to calculate the middle index is crucial for implementing binary search correctly.
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