Illustration of binary search, MATLAB in Statistics

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Illustration of Binary search:

An illustration to search for the key of 91 in the vector is as shown below:

The table below shows what will happen in each iteration of this search algorithm.

64_Illustration of Binary search1.png

The key found in the fourth element of the vector.

Another illustration: search for the key 82:

494_Illustration of Binary search2.png

The value of low cannot be greater than high; this means that the key is not in the vector. Therefore, the algorithm repeats until either the key is found or until low > high, that means the key is not there.

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