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What does Big O Notation primarily indicate in the context of algorithms?

  1. A method of showing the speed of a networking protocol

  2. A method of showing the time and space complexity of an algorithm

  3. A way to compile algorithms for machine code

  4. A method of sorting data in a database

The correct answer is: A method of showing the time and space complexity of an algorithm

Big O Notation is a mathematical concept used to characterize the performance and efficiency of algorithms, specifically in terms of their time complexity and space complexity. When we say that an algorithm has a complexity of O(n), for example, we're describing how the running time or space requirements grow concerning the input size. This notation helps in comparing algorithms, understanding their scalability, and determining their efficiency for larger inputs. The other options relate to specific areas that do not directly describe the function and purpose of Big O Notation. For instance, while the speed of a networking protocol is essential, it is not what Big O Notation is designed to measure. Similarly, compiling algorithms into machine code and sorting data in databases pertain to different aspects of computing and algorithm design that do not leverage the Big O framework for performance assessment.