Binary Search Algorithm

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Which of the following is the time complexity of the binary search algorithm?

O(1)

O(n)

O(log N) (correct)

O(N^2)

When can binary search be applied in a data structure?

When the data structure is unsorted

When the data structure has constant time access

When the data structure is sorted (correct)

When the data structure has linear time access

What is the first step in the binary search algorithm?

Compare the middle element with the key

Terminate the process if the key is found

Find the middle index of the search space (correct)

Divide the search space into two halves

What happens if the key is found at the middle element in binary search?

The process is terminated (B) Signup and view all the answers

What is the next step in binary search if the key is smaller than the middle element?

Use the left side for the next search (A) Signup and view all the answers

What is the next step in binary search if the key is larger than the middle element?

Use the right side for the next search (D) Signup and view all the answers

What is the target element in the given example of binary search?

23 (A) Signup and view all the answers

What is the current mid element in the first step of the binary search example?

16 (B) Signup and view all the answers

What is the time complexity of binary search when the number of elements is doubled?

O(n) (B) Signup and view all the answers

When can binary search be applied in a data structure?

When the data structure is sorted (A) Signup and view all the answers

Which of the following is an implementation of the Binary Search Algorithm?

Iterative Binary Search Algorithm (C) Signup and view all the answers

What is the purpose of the Binary Search Algorithm?

To search for a specific element in a sorted array (B) Signup and view all the answers

What is the complexity of the Binary Search Algorithm in the worst case?

$O(\log n)$ (B) Signup and view all the answers

What happens if the key is less than the current mid value in the Binary Search Algorithm?

The search space moves to the left (D) Signup and view all the answers

What happens if the key matches the value of the mid element in the Binary Search Algorithm?

The element is found and the search stops (C) Signup and view all the answers

Which of the following is a correct pseudocode for the Iterative Binary Search Algorithm?

if (key == mid) return mid; else if (key > mid) l = mid + 1; else r = mid - 1; (A) Signup and view all the answers

What is the purpose of splitting the search space in the Binary Search Algorithm?

To reduce the size of the array (C) Signup and view all the answers

Which of the following is a correct implementation of the Binary Search Algorithm in C++?

int binarySearch(int arr[], int l, int r, int x) { if (r >= l) { int mid = l + (r - l) / 2; if (arr[mid] == x) return mid; if (arr[mid] > x) return binarySearch(arr, l, mid - 1, x); return binarySearch(arr, mid + 1, r, x); } return -1; } (D) Signup and view all the answers

Binary Search Algorithm

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Questions and Answers

Which of the following is the time complexity of the binary search algorithm?

When can binary search be applied in a data structure?

What is the first step in the binary search algorithm?

What happens if the key is found at the middle element in binary search?

What is the next step in binary search if the key is smaller than the middle element?

What is the next step in binary search if the key is larger than the middle element?

What is the target element in the given example of binary search?

What is the current mid element in the first step of the binary search example?

What is the time complexity of binary search when the number of elements is doubled?

When can binary search be applied in a data structure?

Which of the following is an implementation of the Binary Search Algorithm?

What is the purpose of the Binary Search Algorithm?

What is the complexity of the Binary Search Algorithm in the worst case?

What happens if the key is less than the current mid value in the Binary Search Algorithm?

What happens if the key matches the value of the mid element in the Binary Search Algorithm?

Which of the following is a correct pseudocode for the Iterative Binary Search Algorithm?

What is the purpose of splitting the search space in the Binary Search Algorithm?

Which of the following is a correct implementation of the Binary Search Algorithm in C++?

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