What is binary search and linear search in data structure?

Answer 1

A Binary Search is a technique for quickly locating an item in a sequential list.

A Sequential Search is a procedure for searching a table that consists of starting at some table position (usually the beginning) and comparing the file-record key in hand with each table-record key, one at a time, until either a match is found or all sequential positions have been searched.

Answer 2

A binary search can only be performed upon data that is in sorted order.

We begin by selecting the middle element of the set. If that element holds the value we are looking for then we are done. If not, we know which half contains the value (because the set is in sorted order), so we can eliminate the other half the data. We repeat the process with the remaining half. Eventually we will either find the value in the middle of the remaining half, or the remaining half of the set will be empty in which case the value does not exist.

Binary search has an average complexity of O(log n) for a set of n elements. If we have to perform a lot of searches upon a set of data, it is worthwhile sorting that data to take advantage of binary search. The only alternative is to perform a linear search upon the unsorted data which has an average complexity of O(n/2).

Binary search is typically performed upon a sorted array because it allows constant-time random-access with no memory overhead (data is stored compactly with no additional memory required to maintain the structure) and always produces a balanced binary tree.

Answer 3

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| Binary search | Linear search |

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1).Data must be in a sorted order | 1).Data any order

2).Time complexity is O(log n) | 2).Time complexity is O(n).

3).Only 1 "When" condition used | 3).Any no. of "When" condition used

4).Only "=" relation operator is used | 4).any relation operator is used

5).Access is faster | 5).Access is slow

6).Only single dimensional array used | 6).single/multi dimensional array used

A linear search works by looking at each element in a list of data until it either finds the target or reaches the end. This results in O(n) performance on a given list.

A binary search comes with the prerequisite that the data must be sorted. We can leverage this information to decrease the number of items we need to look at to find our target. We know that if we look at a random item in the data (let's say the middle item) and that item is greater than our target, then all items to the right of that item will also be greater than our target. This means that we only need to look at the left part of the data. Basically, each time we search for the target and miss, we can eliminate half of the remaining items. This gives us a nice O(log n) time complexity.

Just remember that sorting data, even with the most efficient algorithm, will always be slower than a linear search (the fastest sorting algorithms are O(n * log n)). So you should never sort data just to perform a single binary search later on. But if you will be performing many searches (say at least O(log n) searches), it may be worthwhile to sort the data so that you can perform binary searches. You might also consider other data structures such as a hash table in such situations.

binary search runs in O(logn) time whereas linear search runs in O(n) times thus binary search has better performance.

Answer 4

Binary search method is a method to search a specific data from a large volume of data.In this method ,data at the middle is checked ,if it is found search is completed otherwise that half is selected in which data can be found and this process continues till the data is found.e.g. as we do to find a word in a dictionary.

Answer 5

A sequential search runs in O(n), while a binary search runs in O(log n). Basically, on average, you have to look through half of a list before you'll find what you want in a sequential search, but on a binary search, you need far fewer. A sequential search on an array twice as big takes twice as long on average, but a binary search on an array twice as long only takes one more step, on average.

Answer 6

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