Why is binary search algorithm better than sequential search?

*arrow_forward*

- Sequential search algorithm involves visiting each and every element of the list of elements and see if the matching element is found in the list. This implies that every element is a candidate element. It can in the worst case take
*n*searches if there are*n*elements in the list. - For example, in the list below if search is made for 1 and if the search is started from the left end then it will take 9 search steps to find the match. If the search is made from the right then it is a lucky scenario and it just takes one step.
- But again if we decide to search for element 10 and we decided to search from right then it will again take 9 steps. These are extreme cases but the point is that the worst case scenario if
*n*searches for*n*elements.

*arrow_forward*

- For binary search to work the elements should be ordered (sorted) in ascending or descending order. Once we have the list or collection which has been sorted, the binary search algorithm is applied.
- The algorithm approaches the problem by dividing the search space into two portions at each stage and does further search in only one of the halves. As a result the total elements to be searched is aproximately halved in each stage.
- So if there are 100 elements, then in the first stage only one half is considered for the next stage, in the next stage 25 elements, around 12 elements in the third and so on. The algorithm hence takes approximately (log n) steps if there are n elements.
- How this halving approach works is explained in the next step.

*arrow_forward*

- At each stage the middle element is taken in the sorted list. So if there are 9 elements indexed from 0 to 8 (zero indexing assumed) then (0+8) / 2 = 4. Hence the element with index 4 is chosen as the middle element which is 7. It is compared with the element to be searched say 13.
- Since, 7 < 13 so it is not necessary to search for elements lesser than the seventh element. We proceed accordingly as shown in the diagram. Next stage middle element is found by taking the elements from index 5 to 8, i.e. (5+8) / 2 = 6.5 => 6. Sixth element is 9.
- Since 9 < 13 so it is not necessary to search for elements to the left of the sixth element. In the last stage the middle element is the eight element which matches the target element. So we stop here.
- The total steps taken is log 10 (to the base 2) which is 3.3 => 3 approximately.

### Ask a Homework Question!

*star_border*

## Related Computer Engineering Q&A

Find answers to questions asked by students like you.

Q:Â binary search algorithm better than sequential search?

A:Â Searching: The method of locating some specific element in the list is searching. The process isâ€¦

Q:Â How is the binary search more efficient that the sequential search algorithm?

A:Â To solve the question let us first understand the techniques of binary searching and sequentialâ€¦

Q:Â How is the binary search more efficient that the sequential search algorithm?

A:Â Search algorithm: Search algorithm is an algorithm which is used for searching the particular itemâ€¦

Q:Â Binary Search Algorithm works.

A:Â Binary search tree works with asymptotic notation

Q:Â Explain Binary search algorithm

A:Â There is two very popular searching technique:- Binary searching and linear searchingÂ A linearâ€¦

Q:Â Explain Binary search algorithm.

A:Â Given: Explain Binary search algorithm.

Q:Â What is the binary search algorithm's sole requirement?

A:Â The binary search algorithm's sole requirement:

Q:Â What is the binary search algorithm's sole requirement?

A:Â Required: Binary search algorithm's sole requirement?

Q:Â What is the binary search algorithm's sole requirement?

A:Â Given that: The topic is about the binary search algorithm's sole requirement.

*question_answer*

Q:Â What is the binary search algorithm's sole requirement?

A:Â Question What is the binary search algorithm's sole requirement?

*question_answer*

Q:Â What is the only prerequisite of the binary search algorithm?

A:Â Binary Search Algorithm: As the name suggests Binary searchÂ is a searching technique that can beâ€¦

*question_answer*

Q:Â What is the only prerequisite of the binary search algorithm?

A:Â Ans: Prerequisite for binary search algorithm: Â In binary search algorithm it is performed usingâ€¦

*question_answer*

Q:Â Explain the working of Binary Search Algorithm with example.

A:Â Binary Search also called half-interval search algorithm. It finds the position of a search elementâ€¦

*question_answer*

Q:Â Explain the working of Binary Search Algorithm with example

A:Â Binary search is a searching algorithm where a key element is searched in a sorted array. At everyâ€¦

*question_answer*

Q:Â State one difference between binary search and sequential search.

A:Â Binary Search Binary search takes a sorted list of element. First it will find element at middle ifâ€¦

*question_answer*

Q:Â What is the only requirement of the binary search algorithm?

A:Â Requirement of Binary Search algorithm: Binary Search algorithm is an algorithm which is moreâ€¦

*question_answer*

Q:Â What is the only requirement of the binary search algorithm?

A:Â The array must either be in ascending or descending order i.e, the array needs to be sorted. This isâ€¦

*question_answer*

Q:Â C Language. Write a program to implement the binary search technique!

A:Â Here have to determine about c code for binary searching.

*question_answer*

Q:Â Compare and contrast two benefits of binary search versus linear search.

A:Â Benefits of binary search versus linear search

*question_answer*

Q:Â Compare and contrast two benefits of binary search versus linear search.

A:Â Following are the comparisons on Linear search and binary search: Linear search finds an element byâ€¦

*question_answer*

Q:Â what is linear search ?

A:Â Linear search is a searching algorithm where the program runs iteratively to search for a given keyâ€¦

*question_answer*

Q:Â In data structures and algorithms,the worst case efficiency of binary search is

A:Â Binary Search is a searching algorithm where particular element is searched in an entire arrayÂ Â Ifâ€¦

*question_answer*

Q:Â Distinguish between Binary Search algorithm and Binary Insertion algorithm.

A:Â About the different between Binary Search algorithm and Binary Insertion algorithm.

*question_answer*

Q:Â Python program to implement binary search

A:Â Given: Python program to implement binary search

*question_answer*

Q:Â What is the one and only condition for the binary search algorithm?

A:Â Binary search algortithm int binarySearch(int arr[], int low, int high, int x)Â {Â Â Â Â ifâ€¦

*question_answer*

Q:Â (Recursive binary search) Write and implement a recursive version of the binary search algorithm.â€¦

A:Â Step by step solution Step 1 of 3 Program plan: Input size of array list. Read array element fromâ€¦

*question_answer*

Q:Â Python Program for Binary Search (Recursive and Iterative)

A:Â Binary search is a searching algorithm which works on sorted items. Binary search divides the listâ€¦

*question_answer*

Q:Â Python Program for Binary Search (Recursive and Iterative)

A:Â Given:

*question_answer*

Q:Â Python Program for Binary Search (Recursive and Iterative)

A:Â Python code: def binSearch(A, mn, mx, n): Â Â if mx >= mn:Â Â Â Â Â mid = (mx + mn) // 2â€¦

*question_answer*

Q:Â Sorting and search

A:Â Q

*question_answer*

Q:Â execute Binary Search Procedure

A:Â Binary search is only implemented on a sorted set of numbers. A sorted array is searched for theâ€¦

*question_answer*

Q:Â Binary search.

A:Â algorithms is best for searching for an item in an ordered list of numbers

*question_answer*

Q:Â binary search

A:Â Given : - Construct and traverse a binary search tree Â Need to construct and traverse a binaryâ€¦

*question_answer*

Q:Â binary search

A:Â Given :- A list L is given as L = [5,7,3,9,8,1,4,5,9,3,5,0,10] Â Need to (a) construct or draw aâ€¦

*question_answer*

Q:Â Which sorting algorithm is a divide and conquer recursive algorithm? Bubble sort Merge sort Heapâ€¦

A:Â GIVEN:

*question_answer*

Q:Â "Sequential Search and Binary Search are well known searching algorithms and both of the algorithmsâ€¦

A:Â The objective is to state whether the given statement statement is valid or not: The given statementâ€¦

*question_answer*

Q:Â In Data structures and algorithms,the complexity of binary search algorithm is?

A:Â Answer : TheÂ complexity of binary search algorithmÂ is:- Best Case- O(1) i.e. constant. Averageâ€¦

*question_answer*

Q:Â Binary search on a sorted singly linked list can be slower than sequential search. True False

A:Â Please find the answer below :

*question_answer*

Q:Â write linear search algorithm only write algorithm do not write code

A:Â Given: write linear search algorithm

*question_answer*

Q:Â when we Compare Binary Search vs Linear Search which the statement below is true:

A:Â In binary search, input data should be in sorted.In linear search, input data needs not to beâ€¦

*question_answer*

Q:Â (Recursive Sequential Search Algorithm) Write and implement a recursive version of the sequentialâ€¦

A:Â Algorithm: An Algorithm provides the stepwise execution procedure of a problem being solved on theâ€¦

*question_answer*

Q:Â f the following Linear Search Binary Search Bubble Sort Selection Sort Insertion Sort

A:Â Linear SearchÂ This searching algorithm used with list of numbers like on array, linked list type ofâ€¦

*question_answer*

Q:Â Single Linked Linear List (S.L.L.L.) 1-Write a steps to search for a node contain a given value in aâ€¦

A:Â For this problem, I am creating functions for the below operations which will take SLLL and requiredâ€¦

*question_answer*

Q:Â Single Linked Linear List (S.L.L.L.) 1-Write a steps to search for a node contain a given value in aâ€¦

A:Â temp=first; while(temp!=null){ Â Â Â Â Â if(temp->data==search) Â Â Â Â Â Â Â Â return true;â€¦

*question_answer*

Q:Â Single Linked Linear List (S.L.L.L.) 1-Write a steps to search for a node contain a given value in aâ€¦

A:Â For this problem, I am creating functions for the below operations which will take SLLL and requiredâ€¦

*question_answer*

A:Â I have provided a solution in step2. Because of our guidelines we can answer only 3 questionsâ€¦

*question_answer*

A:Â For this problem, I am creating functions for the below operations which will take SLLL and requiredâ€¦

*question_answer*

*question_answer*

A:Â #include <bits/stdc++.h>using namespace std;Â class NodeÂ {Â Â public:Â Â int key;Â Â Node* next;Â };â€¦

*question_answer*

Q:Â Time complexity of Binary search algorithm is ______________.

A:Â Binary search is an efficient search algorithm to search any key in a sorted data. This algorithmâ€¦