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In information technology and
computer science Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to practical disciplines (includin ...
, a system is described as stateful if it is designed to remember preceding events or user interactions; the remembered information is called the state of the system. The set of states a system can occupy is known as its state space. In a discrete system, the state space is countable and often finite. The system's internal behaviour or interaction with its environment consists of separately occurring individual actions or events, such as accepting input or producing output, that may or may not cause the system to change its state. Examples of such systems are digital logic circuits and components, automata and
formal language In logic, mathematics, computer science, and linguistics, a formal language consists of words whose letters are taken from an alphabet and are well-formed according to a specific set of rules. The alphabet of a formal language consists of s ...
,
computer program A computer program is a sequence or set of instructions in a programming language for a computer to execute. Computer programs are one component of software, which also includes documentation and other intangible components. A computer progra ...
s, and computers. The output of a digital circuit or deterministic computer program at any time is completely determined by its current inputs and its state.


Digital logic circuit state

Digital logic circuits can be divided into two types: combinational logic, whose output signals are dependent only on its present input signals, and sequential logic, whose outputs are a function of both the current inputs and the past history of inputs. In sequential logic, information from past inputs is stored in electronic memory elements, such as flip-flops. The stored contents of these memory elements, at a given point in time, is collectively referred to as the circuit's ''state'' and contains all the information about the past to which the circuit has access. Since each binary memory element, such as a flip-flop, has only two possible states, ''one'' or ''zero'', and there is a finite number of memory elements, a digital circuit has only a certain finite number of possible states. If ''N'' is the number of binary memory elements in the circuit, the maximum number of states a circuit can have is 2''N''.


Program state

Similarly, a computer program stores data in variables, which represent storage locations in the computer's memory. The contents of these memory locations, at any given point in the program's execution, is called the program's ''state''. A more specialized definition of state is used for computer programs that operate serially or sequentially on streams of data, such as parsers, firewalls, communication protocols and encryption. Serial programs operate on the incoming data characters or packets sequentially, one at a time. In some of these programs, information about previous data characters or packets received is stored in variables and used to affect the processing of the current character or packet. This is called a stateful protocol and the data carried over from the previous processing cycle is called the ''state''. In others, the program has no information about the previous data stream and starts fresh with each data input; this is called a stateless protocol. Imperative programming is a
programming paradigm Programming paradigms are a way to classify programming languages based on their features. Languages can be classified into multiple paradigms. Some paradigms are concerned mainly with implications for the execution model of the language, s ...
(way of designing a programming language) that describes computation in terms of the program state, and of the statements which change the program state. Changes of state are implicit, managed by the program runtime, so that a subroutine has visibility of the changes of state made by other parts of the program, known as side effects. In declarative programming languages, the program describes the desired results and doesn't specify changes to the state directly. In functional programming, state is usually represented with temporal logic as explicit variables that represent the program state at each step of a program execution: a state variable is passed as an input parameter of a state-transforming function, which returns the updated state as part of its return value. A
pure functional In computer science, purely functional programming usually designates a programming paradigm—a style of building the structure and elements of computer programs—that treats all computation as the evaluation of mathematical functions. Program ...
subroutine only has visibility of changes of state represented by the state variables in its scope.


Finite state machines

The output of a sequential circuit or computer program at any time is completely determined by its current inputs and current state. Since each binary memory element has only two possible states, 0 or 1, the total number of different states a circuit can assume is finite, and fixed by the number of memory elements. 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.


Examples

An example of an everyday device that has a state is a television set. To change the channel of a TV, the user usually presses a "channel up" or "channel down" button on the remote control, which sends a coded message to the set. In order to calculate the new channel that the user desires, the digital tuner in the television must have stored in it the number of the ''current channel'' it is on. It then adds one or subtracts one from this number to get the number for the new channel, and adjusts the TV to receive that channel. This new number is then stored as the ''current channel''. Similarly, the television also stores a number that controls the level of
volume Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). Th ...
produced by the speaker. Pressing the "volume up" or "volume down" buttons increments or decrements this number, setting a new level of volume. Both the ''current channel'' and ''current volume'' numbers are part of the TV's state. They are stored in
non-volatile memory Non-volatile memory (NVM) or non-volatile storage is a type of computer memory that can retain stored information even after power is removed. In contrast, volatile memory needs constant power in order to retain data. Non-volatile memory typ ...
, which preserves the information when the TV is turned off, so when it is turned on again the TV will return to its previous station and volume level. As another example, the state of a microprocessor is the contents of all the memory elements in it: the accumulators, storage registers, data caches, and flags. When computers such as laptops go into a hibernation mode to save energy by shutting down the processor, the state of the processor is stored on the computer's
hard disk A hard disk drive (HDD), hard disk, hard drive, or fixed disk is an electro-mechanical data storage device that stores and retrieves digital data using magnetic storage with one or more rigid rapidly rotating platters coated with magnet ...
, so it can be restored when the computer comes out of hibernation, and the processor can take up operations where it left off.


See also

* Data (computing)


References

{{DEFAULTSORT:State (Computer Science) Cognition Models of computation