Binary Search Concepts and Efficiency

The video tutorial covers the concept of binary search, emphasizing its requirement for sorted lists. It compares binary search with linear search, highlighting efficiency differences and exceptions. The tutorial provides examples of binary search on various lists, including numerical and alphabetical orders. It also explains how to calculate the number of operations needed for binary search, demonstrating its efficiency on large datasets.

What is the primary requirement for performing a binary search on a list?

• The list must have no duplicates.

• The list must be sorted.

• The list must contain only numbers.

• The list must be in ascending order.

Which of the following is true about binary search?

• It can only be used on numerical data.

• It requires the list to be sorted in ascending order.

• It can be used on any sorted list, regardless of order.

• It is faster than linear search in all cases.

In which scenario might a linear search be faster than a binary search?

• When the list is unsorted.

• When the list contains only one element.

• When the target is the first element in the list.

• When the list is very large.

What is a key advantage of binary search over linear search?

• It is more efficient for large lists.

• It always requires fewer lines of code.

• It works on unsorted lists.

• It can find elements not present in the list.

How does binary search determine the number of checks needed?

• By dividing the list size by two until one is reached.

• By multiplying the list size by two.

• By subtracting one from the list size repeatedly.

• By adding the list size to itself.

If a list has 200 items, approximately how many checks does binary search require?

• 15

• 8

• 5

• 25

For a list of 10,000 items, how many operations does binary search approximately require?

• 10

• 13

• 20

• 25

What is the approximate number of operations needed for binary search on a list with 1,000 items?

• 7

• 11

• 5

• 9

When comparing binary search on lists with 700 and 900 items, what is the difference in the number of operations?

• About 10 operations

• About 1 operation

• About 13 operations

• About 200 operations

Why is binary search considered efficient for large datasets?

• It always finds the target in fewer steps than linear search.

• It significantly reduces the number of checks needed.

• It requires fewer lines of code.

• It can handle unsorted data.