Decidability refers to the ability to determine, using a specific procedure or algorithm, whether a given statement or problem can be resolved as true or false. In computer science and mathematics, a problem is considered decidable if there exists a finite method to arrive at a solution. For example, the problem of determining whether a number is even is decidable because there is a clear procedure to follow. On the other hand, some problems are undecidable, meaning no algorithm can provide a definitive answer for all possible inputs. A famous example of an undecidable problem is the Halting Problem, which asks whether a given program will eventually stop running or continue indefinitely. Understanding decidability helps in classifying problems and understanding the limits of computation.