How to write binary search algorithm?, Data Structure & Algorithms

Assignment Help:

Q. Write down the binary search algorithm and trace to search element 91 in following given list:

13          30          62           73         81         88             91

What are the major limitations of Binary Search?                                               

Ans.

13   30   62   73   88   91

lets us store the numbers in an array

2064_stack.png


To start with we take low = 0 and high = 5 hence mid = (low+high)/2 = (0+5) /2 = 2

since a[mid] = a[2] = 62 ≠ 91 and low < high we go to next iteration as 62 < 91

∴we take low = mid+1 = 3 and high =

now we find mid =( 3+5)/2 = 4

∴a [mid] = a[4] = 88.

88 is not equal to 91

again 88< 91

∴ we take low = mid +1 = 4 + 1 = 5 and high = 5

∴mid = (5+5)/2 = 5

∴ a[mid] = a[5] = 91 which is the search element.

Limitation of Binary Search is given below: -

(i) The complexity of Binary search is O(log2 n)  the complexity is same irrespective of the  location of the element, even if it is not there in the array.

(ii) The algorithm makes an assumption that one has direct access to middle element in the list on a sub list. This means that the list must be stored in some type of array. Unfortunately inserting an element in an array requires element to be moved down the list and deleting an element from an array requires element to be moved up the list.

(iii) The list must be sorted.


Related Discussions:- How to write binary search algorithm?

Data mining assignment, The assignment aims at consolidating your knowledge...

The assignment aims at consolidating your knowledge on data mining techniques and developing practical skills through solving a problem of transcription factor binding sites recogn

Write an algorithm to measure daily temperatures, A geography class decide ...

A geography class decide to measure daily temperatures and hours of sunshine each day over a 12 month period (365 days) Write an algorithm, using a flowchart that inputs tempera

Array implementation of lists, In the array implementation of the lists, we...

In the array implementation of the lists, we will use the array to hold the entries and a separate counter to keep track of the number of positions are occupied. A structure will b

Algorithm to evaluate expression given in postfix notation , Q. Write down ...

Q. Write down an algorithm to evaluate an expression given to you in postfix notation. Show the execution of your algorithm for the following given expression. AB^CD-EF/GH+/+*

What are the dynamic arrays, What are the Dynamic arrays Dynamic arrays...

What are the Dynamic arrays Dynamic arrays are convenient for programmers since they can never be too small-whenever more space is needed in a dynamic array, it can simply be e

Program segment for insertion of an element into the queue, Program: Progra...

Program: Program segment for insertion of an element into the queue add(int value) { struct queue *new; new = (struct queue*)malloc(sizeof(queue)); new->value = val

Java code and algorythem, Suppose that you want to develop a program that a...

Suppose that you want to develop a program that accepts a postfix expression and asks values for variables in the expression. Then you need to calculate the answer for the expressi

State the painter algorithm, Painter's Algorithm As the name suggests, ...

Painter's Algorithm As the name suggests, the algorithm follows the standard practice of a painter, who  would paint the background (such as a backdrop) first, then the major d

Explain about greedy technique, Explain about greedy technique The  gre...

Explain about greedy technique The  greedy  method  suggests  constructing  a   solution  to  an  optimization  problem   by  a sequence of steps, every expanding a partially c

Applications of shortest path algorithms, The minimum cost spanning tree ha...

The minimum cost spanning tree has broad applications in distinct fields. It represents several complicated real world problems such as: 1. Minimum distance for travelling all o

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd