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the binary search is a great way to find an item in a large data set how it works is this imagine you have a dictionary and need to find a name beginning with K you wouldnamp;#39;t start with the first page and read all the Aamp;#39;s and then the Bamp;#39;s and then the Camp;#39;s and keep going until you get to K youamp;#39;d instead open the book to the middle and begin there binary search takes this approach imagine we have an ordered array with 50 numbers in it note a binary search requires an ordered list so from this list letamp;#39;s say we need to find the index of a certain number in it letamp;#39;s say the target number is 112 we need to find what index 112 is in in a traditional linear search we start at index zero then we go to one and then to two and so forth sequentially until we locate the number this would take 45 steps as this number is at index 44 but with binary search we begin at the midpoint of the list which would be at 58 since 58 is less than 112 we can