In
information technology
Information technology (IT) is a set of related fields within information and communications technology (ICT), that encompass computer systems, software, programming languages, data processing, data and information processing, and storage. Inf ...
and
computer science
Computer science is the study of computation, information, and automation. Computer science spans Theoretical computer science, theoretical disciplines (such as algorithms, theory of computation, and information theory) to Applied science, ...
, 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 computer science, a state space is a discrete space representing the set of all possible configurations of a system. It is a useful abstraction for reasoning about the behavior of a given system and is widely used in the fields of artificial ...
. In a
discrete system, the state space is
countable
In mathematics, a Set (mathematics), set is countable if either it is finite set, finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is ''countable'' if there exists an injective function fro ...
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
A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output. Depending on the context, the term may refer to an ideal logic gate, one that has, for ...
circuits and components,
automata
An automaton (; : automata or automatons) is a relatively self-operating machine, or control mechanism designed to automatically follow a sequence of operations, or respond to predetermined instructions. Some automata, such as bellstrikers i ...
and
formal language
In logic, mathematics, computer science, and linguistics, a formal language is a set of strings whose symbols are taken from a set called "alphabet".
The alphabet of a formal language consists of symbols that concatenate into strings (also c ...
,
computer program
A computer program is a sequence or set of instructions in a programming language for a computer to Execution (computing), execute. It is one component of software, which also includes software documentation, documentation and other intangibl ...
s, and
computer
A computer is a machine that can be Computer programming, programmed to automatically Execution (computing), carry out sequences of arithmetic or logical operations (''computation''). Modern digital electronic computers can perform generic set ...
s.
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
A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output. Depending on the context, the term may refer to an ideal logic gate, one that has, for ...
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
Flip-flops are a type of light sandal-like shoe, typically worn as a form of casual footwear. They consist of a flat sole held loosely on the foot by a Y-shaped strap known as a toe thong that passes between the first and second toes and around ...
. 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, are 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
parser
Parsing, syntax analysis, or syntactic analysis is a process of analyzing a string of symbols, either in natural language, computer languages or data structures, conforming to the rules of a formal grammar by breaking it into parts. The term '' ...
s,
firewalls,
communication protocol
A communication protocol is a system of rules that allows two or more entities of a communications system to transmit information via any variation of a physical quantity. The protocol defines the rules, syntax, semantics (computer science), sem ...
s and
encryption
In Cryptography law, cryptography, encryption (more specifically, Code, encoding) is the process of transforming information in a way that, ideally, only authorized parties can decode. This process converts the original representation of the inf ...
. 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
A stateless protocol is a communication protocol in which the receiver must not retain session state from previous requests. The sender transfers relevant session state to the receiver in such a way that every request can be understood in isolatio ...
.
Imperative programming
In computer science, imperative programming is a programming paradigm of software that uses Statement (computer science), statements that change a program's state (computer science), state. In much the same way that the imperative mood in natural ...
is a
programming paradigm
A programming paradigm is a relatively high-level way to conceptualize and structure the implementation of a computer program. A programming language can be classified as supporting one or more paradigms.
Paradigms are separated along and descri ...
(way of designing a
programming language
A programming language is a system of notation for writing computer programs.
Programming languages are described in terms of their Syntax (programming languages), syntax (form) and semantics (computer science), semantics (meaning), usually def ...
) 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
In meteorology, visibility is the measure of the distance at which an object or light can be clearly discerned. It depends on the Transparency and translucency, transparency of the surrounding air and as such, it is unchanging no matter the amb ...
of the changes of state made by other parts of the program, known as
side effects
In medicine, a side effect is an effect of the use of a medicinal drug or other treatment, usually adverse but sometimes beneficial, that is unintended. Herbal and traditional medicines also have side effects.
A drug or procedure usually used ...
.
In
declarative programming
In computer science, declarative programming is a programming paradigm—a style of building the structure and elements of computer programs—that expresses the logic of a computation without describing its control flow.
Many languages that ap ...
languages, the program describes the desired results and doesn't specify changes to the state directly.
In
functional programming
In computer science, functional programming is a programming paradigm where programs are constructed by Function application, applying and Function composition (computer science), composing Function (computer science), functions. It is a declarat ...
, 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 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
In computer science, and more specifically in computability theory and computational complexity theory, a model of computation is a model which describes how an output of a mathematical function is computed given an input. A model describes how ...
called a
finite-state machine
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 o ...
, 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
A television set or television receiver (more commonly called TV, TV set, television, telly, or tele) is an electronic device for viewing and hearing television broadcasts, or as a computer monitor. It combines a tuner, display, and loudspeake ...
. 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 regions in 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) ...
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
A microprocessor is a computer processor (computing), processor for which the data processing logic and control is included on a single integrated circuit (IC), or a small number of ICs. The microprocessor contains the arithmetic, logic, a ...
is the contents of all the memory elements in it: the
accumulators,
storage registers,
data caches, and
flag
A flag is a piece of textile, fabric (most often rectangular) with distinctive colours and design. It is used as a symbol, a signalling device, or for decoration. The term ''flag'' is also used to refer to the graphic design employed, and fla ...
s. When computers such as laptops go into
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 hard disk drive platter, pla ...
, 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)
''In computer science, data (treated as singular, plural, or as a mass noun) is any sequence of one or more symbols; datum is a single symbol of data. Data requires interpretation to become information. Digital data is data that is represen ...
References
{{DEFAULTSORT:State (Computer Science)
Cognition
Models of computation