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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, video game programming, and logic. Finite-state machines are a class of automata studied in automata theory and ...
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.
Modern CPUs, computers, cell phones, digital clocks and basic electronic devices/machines have some kind of finite state machine to control it. Simple software systems, particularly ones that can be represented using regular expressions, can be modeled as finite state machines. There are many such simple systems, such as vending machines or ...
In the state-transition table, all possible inputs to the finite-state machine are enumerated across the columns of the table, while all possible states are enumerated across the rows. If the machine is in the state S 1 (the first row) and receives an input of 1 (second column), the machine will stay in the state S 1 .
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.
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).
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.
Finite state machines (FSMs) are widely used to implement control logic in various applications such as microprocessors, digital transmission, digital filters and digital signal processing. Even for designs containing a good number [clarification needed] of datapath elements, the controller occupies a sizeable portion.