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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.

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Pasquale Wisozk

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2y ago

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