a sorted list of numbers contains 200 elements. which of the following is closest to the maximum number of list elements that will need to be examined when performing a binary search for a particular value in the list?
To find the maximum number of list elements that will need to be examined when performing a binary search, we can use the concept of logarithm. In a binary search, the list is divided in half at each step until the desired value is found or the search range becomes empty.
For a list with 200 elements, the maximum number of elements to be examined can be found using the formula:
log2(n),
where n is the number of elements in the list.
In this case, n is 200, so the maximum number of elements that will need to be examined is:
log2(200), which is approximately 7.64.
Rounding up to the nearest whole number, the maximum number of elements that will need to be examined in this binary search is 8. Therefore, the closest answer is 8.