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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 algorithmic state machine (ASM) is a method for designing finite-state machines (FSMs) originally developed by Thomas E. Osborne at the University of California, Berkeley (UCB) since 1960, [1] introduced to and implemented at Hewlett-Packard in 1968, formalized and expanded since 1967 and written about by Christopher R. Clare since 1970.
A finite-state machine with data path (FSMD) is a mathematical abstraction which combines a finite-state machine, which controls the program flow, with a data path.It can be used to design digital logic or computer programs.
An automaton with a finite number of states is called a finite automaton (FA) or finite-state machine (FSM). The figure on the right illustrates a finite-state machine, which is a well-known type of automaton. This automaton consists of states (represented in the figure by circles) and transitions (represented by arrows).
A directed graph. A classic form of state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q 0, F): [2] [3]. Vertices Q: a finite set of states, normally represented by circles and labeled with unique designator symbols or words written inside them
The state diagram for a Mealy machine associates an output value with each transition edge, in contrast to the state diagram for a Moore machine, which associates an output value with each state. When the input and output alphabet are both Σ , one can also associate to a Mealy automata a Helix directed graph [ clarification needed ] ( S × Σ ...
For a nondeterministic finite-state machine, an input may cause the machine to be in more than one state, hence its non-determinism. This is denoted in a state-transition table by the set of all target states enclosed in a pair of braces {}. An example of a state-transition table together with the corresponding state diagram for a ...
If there are N binary memory elements, a digital circuit can have at most 2 N distinct states. The concept of state is formalized in an abstract mathematical model of computation called a finite-state machine, used to design both sequential digital circuits and computer programs.