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In computer science, finite state machines are widely used in modeling of application behavior, design of hardware digital systems, software engineering, compilers, network protocols, and the study of computation and languages.

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In some finite-state machine representations, it is also possible to associate actions with a state: Several state transition table types are used. A FSM definition including the full actions information is possible using state tables (see also virtual finite-state machine).UML state machines introduce the new concepts of hierarchically nested states and orthogonal regions, while extending the notion of actions.UML state machines have the characteristics of both Mealy machines and Moore machines.In the unlocked state, putting additional coins in has no effect; that is, giving additional coin inputs does not change the state.However, a customer pushing through the arms, giving a push input, shifts the state back to Locked.In addition to their use in modeling reactive systems presented here, finite state machines are significant in many different areas, including electrical engineering, linguistics, computer science, philosophy, biology, mathematics, and logic.

Finite state machines are a class of automata studied in automata theory and the theory of computation.

The finite state machine has less computational power than some other models of computation such as the Turing machine.

The computational power distinction means there are computational tasks that a Turing machine can do but a FSM cannot.

A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of computation.

It is an abstract machine that can be in exactly one of a finite number of states at any given time.

The behavior of state machines can be observed in many devices in modern society that perform a predetermined sequence of actions depending on a sequence of events with which they are presented.