Computability is a concept in computer science and mathematics that explores what problems can be solved by algorithms. An algorithm is a step-by-step procedure for calculations or problem-solving. If a problem can be solved by an algorithm, it is considered computable; otherwise, it is deemed non-computable. The study of computability often involves Turing machines, which are theoretical devices that can simulate any algorithm. Developed by Alan Turing, these machines help define the limits of what can be computed. Understanding computability is essential for fields like theoretical computer science and mathematics, as it helps identify the boundaries of algorithmic problem-solving.