Question: How does binary search determine the middle index of an array?
Options:
(low + high) / 2
low + high
low * high
high - low
Correct Answer: (low + high) / 2
Solution:
Binary search calculates the middle index using (low + high) / 2 to find the midpoint of the current search range.
How does binary search determine the middle index of an array?
Practice Questions
Q1
How does binary search determine the middle index of an array?
(low + high) / 2
low + high
low * high
high - low
Questions & Step-by-Step Solutions
How does binary search determine the middle index of an array?
Step 1: Start with an array that is sorted.
Step 2: Define two pointers: 'low' at the start of the array and 'high' at the end of the array.
Step 3: Calculate the middle index using the formula (low + high) / 2.
Step 4: Check the value at the middle index to see if it matches the target value.
Step 5: If the target value is less than the middle value, move the 'high' pointer to the middle index - 1.
Step 6: If the target value is greater than the middle value, move the 'low' pointer to the middle index + 1.
Step 7: Repeat steps 3 to 6 until the target value is found or the 'low' pointer exceeds the 'high' pointer.
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.
Index Calculation – The method of calculating the middle index of an array segment using the formula (low + high) / 2.
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