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

Practice Questions

Q1
In binary search, how do you calculate the middle index?
  1. (low + high) / 2
  2. (low + high) / 2 + 1
  3. (low + high) / 2 - 1
  4. low + (high - low) / 2

Questions & Step-by-Step Solutions

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.
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