Binary search in data structure
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Binary search is a fast search algorithm that works on sorted data by comparing the middle element of the collection to the target value. It divides the search space in half at each step to quickly locate an element. The algorithm gets the middle element, compares it to the target, and either searches the left or right half recursively depending on if the target is less than or greater than the middle element. An example demonstrates finding the value 23 in a sorted array using this divide and conquer approach.
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![Algorithm of Binary search
It can be done by the following step:
1. get the middle element
MID= INT((BEG+END)/2)
2. if the middle element equals to the searched value, the algorithm stops.
3.Otherwise
a)If Item<DATA[MID],then appear left half
DATA[BEG].DATA[MID-1]
b)If item>DATA[MID],then appear right half
DATA[BEG].DATA[MID+1]](https://image.slidesharecdn.com/binarysearch-200312062402/85/Binary-search-in-data-structure-3-320.jpg)
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- 1. OBJECTIVE OF PRESENTATION Define Binary search. Example and solve with Binary search.
- 2. Binary search Binary search is a fast search algorithm with run-time complexity. This search algorithm works on the principle of divide and conquer. For this algorithm to work properly, the data collection should be in the sorted form. Binary search looks for a particular item by comparing the middle most item of the collection.
- 3. Algorithm of Binary search It can be done by the following step: 1. get the middle element MID= INT((BEG+END)/2) 2. if the middle element equals to the searched value, the algorithm stops. 3.Otherwise a)If Item<DATA[MID],then appear left half DATA[BEG].DATA[MID-1] b)If item>DATA[MID],then appear right half DATA[BEG].DATA[MID+1]
- 4. EXAMPLE Let DATA be the following sorted 10 element array: DATA: 2,5,8,12,16,23,38,56,72,91 Find ITEM=23.
- 5. End of the presentation Thank You