# What is the time complexity of recursive binary search algorithm?

Performance of Binary Search Algorithm: Therefore, time complexity of binary search algorithm is O(log2n) which is very efficient. Auxiliary space used by it is O(1) for iterative implementation and O(log2n) for recursive implementation due to call stack.

Thereof, what is the time complexity of binary search algorithm?

Binary search runs in at worst logarithmic time, making O(log n) comparisons, where n is the number of elements in the array, the O is Big O notation, and log is the logarithm. Binary search takes constant (O(1)) space, meaning that the space taken by the algorithm is the same for any number of elements in the array.

what is recursive binary search algorithm? Recursive Binary Search Algorithm in Java – Example Tutorial The binary search algorithm is one of the most famous search algorithms in computer science. It allows you to search a value in logarithmic time i.e. O(logN), which makes it ideal to search a number in a huge list.

In this manner, how do you find the time complexity of a recursive algorithm?

It’s often possible to compute the time complexity of a recursive function by formulating and solving a recurrence relation.

Master theorem

1. T(n) = Θ(nd) if a < bd,
2. T(n) = Θ(ndlog n) if a = bd,
3. T(n) = Θ(nlogba) if a > bd.

What is binary search complexity?

Worst-case space complexity. O(1) In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position of a target value within a sorted array. Binary search compares the target value to the middle element of the array.