How does binary search determine the next interval to search?

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Question: How does binary search determine the next interval to search?

Options:

Correct Answer: By comparing the target with the middle element

Solution:

Binary search determines the next interval by comparing the target with the middle element and deciding which half to continue searching.

How does binary search determine the next interval to search?

How does binary search determine the next interval to search?

Step 1: Start with a sorted list of elements and define the range of the search (initially the whole list).
Step 2: Find the middle element of the current range.
Step 3: Compare the target value (the value you are searching for) with the middle element.
Step 4: If the target is equal to the middle element, you have found the target.
Step 5: If the target is less than the middle element, narrow the search to the left half of the list (the interval before the middle element).
Step 6: If the target is greater than the middle element, narrow the search to the right half of the list (the interval after the middle element).
Step 7: Repeat steps 2 to 6 until you find the target or the search interval is empty.

Binary Search Mechanism – Binary search works by repeatedly dividing the search interval in half and comparing the target value to the middle element.