In which of the following applications is binary search commonly used?

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Question: In which of the following applications is binary search commonly used?

Options:

Correct Answer: Searching for a word in a dictionary

Solution:

Binary search is commonly used for searching for a word in a dictionary, as dictionaries are typically sorted.

In which of the following applications is binary search commonly used?

In which of the following applications is binary search commonly used?

Step 1: Understand what binary search is. It is a method used to find an item in a sorted list by repeatedly dividing the search interval in half.
Step 2: Recognize that binary search requires the list to be sorted. This means the items must be in a specific order.
Step 3: Identify an example of a sorted list. A dictionary is a good example because the words are arranged in alphabetical order.
Step 4: Realize that when you want to find a word in a dictionary, you can use binary search to quickly locate it by checking the middle word and deciding which half to search next.
Step 5: Conclude that binary search is commonly used in applications like searching for a word in a dictionary because it is efficient and the dictionary is sorted.

Binary Search – A search algorithm that finds the position of a target value within a sorted array by repeatedly dividing the search interval in half.
Sorted Data Structure – Binary search requires the data to be sorted; it cannot be applied to unsorted data.
Efficiency – Binary search is more efficient than linear search, especially for large datasets, as it has a time complexity of O(log n).