Understanding the Origin of Binary Search

Discover why binary search is named so and how it efficiently locates items in sorted lists.

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Binary search is named so because it divides the search interval in half each time. This method repeatedly reduces the problem size by two, hence the term 'binary' which means two. It efficiently locates an item in a sorted list by systematically eliminating half of the remaining elements, ensuring a logarithmic time complexity.

FAQs & Answers

  1. What is binary search? Binary search is an efficient algorithm for finding an item in a sorted list by dividing the search interval in half.
  2. How does the binary search algorithm work? It repeatedly halves the list, eliminating the half where the item cannot be, until the desired item is found or the list is exhausted.
  3. What is the time complexity of binary search? The time complexity of binary search is O(log n), making it significantly faster than linear search for large datasets.