Question: In a binary search algorithm, what happens to the search space after each comparison?
Options:
It doubles
It remains the same
It halves
It increases linearly
Correct Answer: It halves
Solution:
After each comparison in binary search, the search space is halved, which is why it is efficient.
In a binary search algorithm, what happens to the search space after each compar
Practice Questions
Q1
In a binary search algorithm, what happens to the search space after each comparison?
It doubles
It remains the same
It halves
It increases linearly
Questions & Step-by-Step Solutions
In a binary search algorithm, what happens to the search space after each comparison?
Step 1: Start with a sorted list of items.
Step 2: Identify the middle item of the list.
Step 3: Compare the middle item with the target value you are searching for.
Step 4: If the middle item is equal to the target, you found it!
Step 5: If the middle item is less than the target, discard the left half of the list (including the middle item).
Step 6: If the middle item is greater than the target, discard the right half of the list (including the middle item).
Step 7: Repeat steps 2 to 6 with the new, smaller list until you find the target or the list is empty.
Binary Search Algorithm – A search algorithm that finds the position of a target value within a sorted array by repeatedly dividing the search interval in half.
Search Space Reduction – The process of eliminating half of the remaining elements from consideration after each comparison.
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