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What is the maximum number of comparisons necessary when performing a binary search of100,000 items?a) 13b) 14c) 15d) 16# e) 17

Question

What is the maximum number of comparisons necessary when performing a binary search of100,000 items?a) 13b) 14c) 15d) 16# e) 17

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Solution

The maximum number of comparisons necessary when performing a binary search can be calculated using the formula log2(n), where n is the number of items.

Step 1: Calculate log2(100,000) Step 2: If the result is not a whole number, round it up to the nearest whole number. This is because you can't make a fraction of a comparison - you always have to make a whole number of comparisons.

Using a calculator, log2(100,000) is approximately 16.61.

Step 3: Round up 16.61 to the nearest whole number, which is 17.

So, the maximum number of comparisons necessary when performing a binary search of 100,000 items is 17. Therefore, the answer is e) 17.

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