In binary search, how do you calculate the middle index?

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Question: In binary search, how do you calculate the middle index?

Options:

Correct Answer: low + (high - low) / 2

Solution:

The middle index is calculated using low + (high - low) / 2 to avoid overflow.

In binary search, how do you calculate the middle index?

In binary search, how do you calculate 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: Calculate the difference between the high index and the low index by subtracting low from high. This gives you (high - low).
Step 4: Divide the result from Step 3 by 2. This gives you the half of the range.
Step 5: Add the low index to the result from Step 4. This gives you the middle index: low + (high - low) / 2.

Binary Search – A search algorithm that finds the position of a target value within a sorted array.
Index Calculation – The method of determining the middle index to split the search range.
Overflow Prevention – Using low + (high - low) / 2 to prevent integer overflow in index calculations.