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How does binary search determine which half of the array to search next?

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Question: How does binary search determine which half of the array to search next?

Options:

  1. By comparing the middle element with the target
  2. By checking the length of the array
  3. By using a random index
  4. By iterating through the array

Correct Answer: By comparing the middle element with the target

Solution:

Binary search compares the middle element of the array with the target value to decide whether to search the left or right half.

How does binary search determine which half of the array to search next?

Practice Questions

Q1
How does binary search determine which half of the array to search next?
  1. By comparing the middle element with the target
  2. By checking the length of the array
  3. By using a random index
  4. By iterating through the array

Questions & Step-by-Step Solutions

How does binary search determine which half of the array to search next?
  • Step 1: Start with a sorted array and a target value that you want to find.
  • Step 2: Find the middle element of the array.
  • Step 3: Compare the middle element with the target value.
  • Step 4: If the middle element is equal to the target, you have found the target.
  • Step 5: If the middle element is less than the target, discard the left half of the array and focus on the right half.
  • Step 6: If the middle element is greater than the target, discard the right half of the array and focus on the left half.
  • Step 7: Repeat steps 2 to 6 until you find the target or the search space is empty.
  • Binary Search Mechanism – Binary search works by repeatedly dividing the search interval in half, comparing the target value to the middle element of the current interval.
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