What is the worst-case number of comparisons in binary search for an array of si

Practice Questions

Q1
What is the worst-case number of comparisons in binary search for an array of size 16?
  1. 4
  2. 5
  3. 6
  4. 7

Questions & Step-by-Step Solutions

What is the worst-case number of comparisons in binary search for an array of size 16?
  • Step 1: Understand what binary search is. It is a method to find an item in a sorted array by repeatedly dividing the search interval in half.
  • Step 2: Know the size of the array. In this case, the array size is 16.
  • Step 3: Use the formula for the worst-case number of comparisons in binary search, which is log2(n), where n is the size of the array.
  • Step 4: Calculate log2(16). Since 16 is 2 raised to the power of 4 (2^4 = 16), log2(16) equals 4.
  • Step 5: Remember that we start counting comparisons from 0. So, if log2(16) is 4, the total number of comparisons needed is 4 + 1 = 5.
  • Step 6: Conclude that the worst-case number of comparisons in binary search for an array of size 16 is 5.
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