What is the average time complexity for searching an element in a sorted array u

Practice Questions

Q1
What is the average time complexity for searching an element in a sorted array using binary search?
  1. O(n)
  2. O(log n)
  3. O(n log n)
  4. O(1)

Questions & Step-by-Step Solutions

What is the average time complexity for searching an element in a sorted array using binary search?
  • Step 1: Understand that a sorted array is an array where the elements are in order (like 1, 2, 3, 4).
  • Step 2: Know that binary search is a method used to find an element in this sorted array.
  • Step 3: Realize that binary search works by repeatedly dividing the array in half.
  • Step 4: Each time you divide the array, you eliminate half of the elements from consideration.
  • Step 5: This process continues until you either find the element or there are no more elements to check.
  • Step 6: The number of times you can divide the array in half is related to the logarithm of the number of elements (n) in the array.
  • Step 7: Therefore, the average time complexity for searching an element using binary search is O(log n).
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