Question: In binary search, what is the purpose of calculating the mid index?
Options:
To find the maximum element
To divide the array into two halves
To check for duplicates
To sort the array
Correct Answer: To divide the array into two halves
Solution:
The mid index is calculated to divide the array into two halves for further searching.
In binary search, what is the purpose of calculating the mid index?
Practice Questions
Q1
In binary search, what is the purpose of calculating the mid index?
To find the maximum element
To divide the array into two halves
To check for duplicates
To sort the array
Questions & Step-by-Step Solutions
In binary search, what is the purpose of calculating the mid index?
Step 1: Start with a sorted array of numbers.
Step 2: Identify the starting index (left) and the ending index (right) of the array.
Step 3: Calculate the mid index using the formula: mid = (left + right) / 2.
Step 4: The mid index helps to find the middle element of the current search range.
Step 5: Compare the middle element with the target value you are searching for.
Step 6: If the middle element is equal to the target, you found it!
Step 7: If the middle element is less than the target, search in the right half of the array.
Step 8: If the middle element is greater than the target, search in the left half of the array.
Step 9: Repeat the process until you find the target or the search range is empty.
Binary Search – A search algorithm that finds the position of a target value within a sorted array by repeatedly dividing the search interval in half.
Mid Index Calculation – The process of finding the middle index of the current search interval to determine which half of the array to continue searching in.
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