Asked by Ciara Lawrence on Jul 20, 2024
Verified
The order of magnitude of the binary search algorithm is:
A) linear
B) exponential
C) logarithmic
D) quadratic
Order of Magnitude
An order of magnitude is a term used to express the scale or size of a quantity, typically in powers of ten, to compare approximate values or changes.
Binary Search Algorithm
An efficient algorithm for finding a target value within a sorted array by repeatedly dividing in half the portion of the list that could contain the target.
- Grasp the efficiency and order of magnitude of algorithms such as binary search in recursive contexts.
Verified Answer
SG
Stephen gardnerJul 22, 2024
Final Answer :
C
Explanation :
The binary search algorithm has a logarithmic time complexity, as it cuts the search space in half with each iteration. Therefore, it is much faster than linear and quadratic algorithms and much slower than exponential algorithms.
Learning Objectives
- Grasp the efficiency and order of magnitude of algorithms such as binary search in recursive contexts.