Binary Search Algorithm
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Binary Search Algorithm

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Questions and Answers

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?

    <p>The process is terminated</p> Signup and view all the answers

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

    <p>Use the left side for the next search</p> Signup and view all the answers

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

    <p>Use the right side for the next search</p> Signup and view all the answers

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

    <p>23</p> Signup and view all the answers

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

    <p>16</p> Signup and view all the answers

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

    <p>O(n)</p> Signup and view all the answers

    When can binary search be applied in a data structure?

    <p>When the data structure is sorted</p> Signup and view all the answers

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

    <p>Iterative Binary Search Algorithm</p> Signup and view all the answers

    What is the purpose of the Binary Search Algorithm?

    <p>To search for a specific element in a sorted array</p> Signup and view all the answers

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

    <p>$O(\log n)$</p> Signup and view all the answers

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

    <p>The search space moves to the left</p> Signup and view all the answers

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

    <p>The element is found and the search stops</p> Signup and view all the answers

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

    <p>if (key == mid) return mid; else if (key &gt; mid) l = mid + 1; else r = mid - 1;</p> Signup and view all the answers

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

    <p>To reduce the size of the array</p> Signup and view all the answers

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

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

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