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The time complexity of a binary search algorithm in computer science is O(log n), where n is the number of elements in the sorted array being searched.

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What is the time complexity of a binary search algorithm?

The time complexity of a binary search algorithm is O(log n), where n is the number of elements in the sorted array being searched.


What is the time complexity of an algorithm that uses a binary search to find an element in a sorted array in logn time?

The time complexity of an algorithm that uses binary search to find an element in a sorted array in logn time is O(log n).


What is the time complexity of an algorithm that utilizes a binary search algorithm to search through a sorted array, where the search time is represented by the function log(n) in terms of the input size n?

The time complexity of an algorithm that uses a binary search on a sorted array is O(log n), where n is the size of the input array.


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Which search algorithm requires that the arrays contents be sorted?

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Prove by mathematical induction that the complexity of binary search algorithm is log n?

The complexity of the binary search algorithm is log(n)...If you have n items to search, you iteratively pick the middle item and compare it to the search term. Based on that comparision, you then halve the search space and try again. The number of times that you can halve the search space is the same as log2n. This is why we say that binary search is complexity log(n).We drop the base 2, on the assumption that all methods will have a similar base, and we are really just comparing on the same basis, i.e. apples against apples, so to speak.


What is the binary search definition in computer science and how is it used to efficiently locate a specific element in a sorted array?

Binary search is a search algorithm in computer science that efficiently finds the position of a specific element in a sorted array by repeatedly dividing the search interval in half. This method is used to quickly locate the desired element by comparing it to the middle element of the array and eliminating half of the remaining elements each time, until the target element is found or determined to be absent.


What is the best search algorithm to use for a sorted array?

The best search algorithm to use for a sorted array is the binary search algorithm.