View source for Digital data

{{Short description|Discrete, discontinuous representation of information}}
{{Use dmy dates|date=January 2023}}
{{merge from|data (computer science)|date=November 2025}}
{{About|the concept in information theory and information systems|the electronics concept|Digital signal|other uses|Digital (disambiguation){{!}}Digital}}
[[File:Radiocontrolledclock.jpg|thumb|[[Digital clock]].  The time shown by the digits on the face at any instant is digital data.  The actual precise time is analog data. ]]

'''Digital data''', in [[information theory]] and [[information systems]], is information represented as a string of [[Discrete mathematics|discrete]] symbols, each of which can take on one of only a finite number of values from some [[alphabet (formal languages)|alphabet]], such as letters or digits. An example is a [[text document]], which consists of a string of [[alphanumeric character]]s. The most common form of digital data in modern information systems is ''[[binary data]]'', which is represented by a string of [[binary digit]]s (bits) each of which can have one of two values, either 0 or 1.

Digital data can be contrasted with ''analog data'', which is represented by a value from a [[continuous variable|continuous]] range of [[real number]]s. Analog data is transmitted by an [[analog signal]], which not only takes on continuous values but can vary continuously with time, a continuous [[real-valued function]] of time. An example is the air pressure variation in a [[sound wave]]. 

The word ''digital'' comes from the same source as the words [[digit (anatomy)|digit]] and ''digitus'' (the [[Latin]] word for ''finger''), as fingers are often used for counting. Mathematician [[George Stibitz]] of [[Bell Labs|Bell Telephone Laboratories]] used the word ''digital'' in reference to the fast electric pulses emitted by a device designed to aim and fire anti-aircraft guns in 1942.<ref>{{Cite book |last=Ceruzzi |first=Paul E |title=Computing: A Concise History |date=29 June 2012 |publisher=[[MIT Press]] |isbn=978-0-262-51767-6}}</ref> The term is most commonly used in [[computing]] and [[electronics]], especially where real-world information is converted to [[Binary numeral system|binary]] numeric form as in [[digital audio]] and [[digital photography]].

== Symbol to digital conversion ==
{{original research|section|date=August 2016}}
Since symbols (for example, [[alphanumeric]] [[Character (computing)|characters]]) are not continuous, representing symbols digitally is rather simpler than conversion of continuous or analog information to digital. Instead of [[sampling (signal processing)|sampling]] and [[quantization (signal processing)|quantization]] as in [[analog-to-digital conversion]], such techniques as [[polling (computer science)|polling]] and [[Character encoding|encoding]] are used.

A symbol input device usually consists of a group of switches that are polled at regular intervals to see which switches are switched. Data will be lost if, within a single polling interval, two switches are pressed, or a switch is pressed, released, and pressed again. This polling can be done by a specialized processor in the device to prevent burdening the main [[Central processing unit|CPU]].<ref>{{Cite book |last1=Heinrich |first1=Lutz J. |url=https://books.google.com/books?id=Uq4FCgAAQBAJ&dq=Digitale+Daten+lexikon&pg=PA198 |title=Wirtschaftsinformatik-Lexikon |last2=Heinzl |first2=Armin |last3=Roithmayr |first3=Friedrich |date=2014-08-29 |publisher=Walter de Gruyter GmbH & Co KG |isbn=978-3-486-81590-0 |language=de}}</ref> When a new symbol has been entered, the device typically sends an [[interrupt]], in a specialized format, so that the CPU can read it.

For devices with only a few switches (such as the buttons on a [[joystick]]), the status of each can be encoded as bits (usually 0 for released and 1 for pressed) in a single word. This is useful when combinations of key presses are meaningful, and is sometimes used for passing the status of modifier keys on a keyboard (such as shift and control). But it does not scale to support more keys than the number of bits in a single byte or word.

Devices with many switches (such as a [[computer keyboard]]) usually arrange these switches in a scan matrix, with the individual switches on the intersections of x and y lines. When a switch is pressed, it connects the corresponding x and y lines together. Polling (often called scanning in this case) is done by activating each x line in sequence and detecting which y lines then have a [[digital signal|signal]], thus which keys are pressed. When the keyboard processor detects that a key has changed state, it sends a signal to the CPU indicating the scan code of the key and its new state. The symbol is then [[Code|encoded]] or converted into a number based on the status of modifier keys and the desired [[character encoding]].

A custom [[Character encoding|encoding]] can be used for a specific application with no loss of data. However, using a standard encoding such as [[ASCII]] is problematic if a symbol such as 'ß' needs to be converted but is not in the standard.

It is estimated that in the year 1986, less than 1% of the world's technological capacity to store information was digital and in 2007 it was already 94%.<ref name="HilbertLopez2011">{{cite magazine |url=https://www.science.org/doi/10.1126/science.1200970 |title=The World's Technological Capacity to Store, Communicate, and Compute Information |author1=Martin Hilbert |author2=Priscila López |magazine=[[Science (journal)|Science]] |volume=332 |issue=6025 |pages=60–65 |date=10 February 2011 |doi=10.1126/science.1200970 |archive-url=https://web.archive.org/web/20110531133712/http://www.sciencemag.org/content/suppl/2011/02/08/science.1200970.DC1/Hilbert-SOM.pdf |archive-date=31 May 2011 |url-status=live}} Also {{cite magazine |url=https://www.science.org/doi/suppl/10.1126/science.1200970/suppl_file/hilbert-som.pdf |title=Supporting online material for The World's Technological Capacity to Store, Communicate, and Compute Information |magazine=[[Science (journal)|Science]] |doi=10.1126/science.1200970 |archive-url=https://web.archive.org/web/20110531133712/http://www.sciencemag.org/content/suppl/2011/02/08/science.1200970.DC1/Hilbert-SOM.pdf |archive-date=31 May 2011 |url-status=live}} Free access to the article through here: {{URL|https://www.martinhilbert.net/WorldInfoCapacity.html/}}</ref> The year 2002 is assumed to be the year when humankind was able to store more information in digital than in analog format (the "beginning of the [[digital age]]").<ref name="Hilbertvideo2011">{{Cite web |title=video animation on The World's Technological Capacity to Store, Communicate, and Compute Information from 1986 to 2010 | date=11 June 2011 |url=https://www.youtube.com/watch?v=iIKPjOuwqHo |via=YouTube |access-date=6 November 2013 |archive-date=21 February 2013 |archive-url=https://web.archive.org/web/20130221144621/https://www.youtube.com/watch?v=iIKPjOuwqHo |url-status=live }}</ref><ref name=":0" />

== States ==
[[File:3 states of data.jpg|thumb|The 3 states of data.]]
Digital data come in these three states: [[data at rest]], [[data in transit]], and [[data in use]].<ref>{{cite web|url=http://www.nortoninternetsecurity.cc/2011/03/data-loss-prevention.html |title=Data Loss Prevention &#124; Norton Internet Security |publisher=Nortoninternetsecurity.cc |date=2011-03-12 |accessdate=2012-12-26}}</ref><ref>{{Cite web |title=Data Protection: Data In transit vs. Data At Rest |url=https://www.digitalguardian.com/blog/data-protection-data-in-transit-vs-data-at-rest |access-date=2023-04-12 |website=Digital Guardian |language=en}}</ref> The [[CIA Triad|confidentiality, integrity, and availability]] have to be managed during the entire lifecycle from 'birth' to the destruction of the data.<ref>{{Cite web |title=The three states of information |url=https://www.ed.ac.uk/arts-humanities-soc-sci/about-us/information-security-and-governance/what-information-do-i-have-to-protect/the-three-states-of-information |access-date=21 February 2021 |website=The University of Edinburgh |language=en |archive-date=14 April 2021 |archive-url=https://web.archive.org/web/20210414042237/https://www.ed.ac.uk/arts-humanities-soc-sci/about-us/information-security-and-governance/what-information-do-i-have-to-protect/the-three-states-of-information |url-status=dead}}</ref>

===Data at rest===
[[File:DAR v DIU.JPG|thumb|Data at Rest vs Data in Use.]]
'''Data at rest''' in [[information technology]] means data that is housed physically on [[computer data storage]] in any digital form (e.g. [[cloud storage]], [[file hosting service]]s, [[database]]s, [[data warehouse]]s, [[spreadsheet]]s, archives, tapes, off-site or cloud backups, [[mobile device]]s etc.). Data at rest includes both structured and [[unstructured data]].<ref>{{Cite web|last=Pickell|first=Devin|title=Structured vs Unstructured Data – What's the Difference?|url=https://learn.g2.com/structured-vs-unstructured-data|accessdate=2020-11-17|website=learn.g2.com|language=en}}</ref> This type of data is subject to threats from hackers and other malicious threats to gain access to the data digitally or physical theft of the data storage media. To prevent this data from being accessed, modified or stolen, organizations will often employ security protection measures such as password protection, data encryption, or a combination of both. The security options used for this type of data are broadly referred to as '''data-at-rest protection''' ('''DARP''').<ref>{{cite web |url=https://www.webopedia.com/TERM/D/data_at_rest_protection.html?title= |title=Webopedia:Data at Rest|date=8 June 2007}}</ref>

Definitions include: 
<blockquote>"...all data in computer storage while excluding data that is traversing a network or temporarily residing in computer memory to be read or updated."<ref name="techtarget1">{{cite web|url=http://searchstorage.techtarget.com/definition/data-at-rest |title=What is data at rest? - Definition from WhatIs.com |publisher=Searchstorage.techtarget.com |date=2012-12-22 |accessdate=2012-12-26}}</ref></blockquote>

<blockquote>"...all data in storage but excludes any data that frequently traverses the network or that which resides in temporary memory. Data at rest includes but is not limited to archived data, data which is not accessed or changed frequently, files stored on hard drives, USB thumb drives, files stored on backup tape and disks, and also files stored off-site or on a [[storage area network]] (SAN)."<ref>{{cite web|url=http://www.webopedia.com/TERM/D/data_at_rest.html |title=What is data at rest? - A Word Definition From the Webopedia Computer Dictionary |publisher=Webopedia.com |date= 8 June 2007|accessdate=2012-12-26}}</ref></blockquote>

While it is generally accepted that archive data (i.e. which never changes), regardless of its storage medium, is data at rest and active data subject to constant or frequent change is data in use. “Inactive data” could be taken to mean data which may change, but infrequently. The imprecise nature of terms such as “constant” and “frequent” means that some stored data cannot be comprehensively defined as either data at rest or in use. These definitions could be taken to assume that Data at Rest is a superset of data in use; however, data in use, subject to frequent change, has distinct processing requirements from data at rest, whether completely static or subject to occasional change.

====Security====
Because of its nature data at rest is of increasing concern to businesses, government agencies and other institutions.<ref name="techtarget1"/> Mobile devices are often subject to specific security protocols to protect data at rest from unauthorized access when lost or stolen<ref>{{Cite web |date=12 October 2006 |title=06-EC-O-0008: Data-At-Rest (DAR) Protection |url=http://www.gordon.army.mil/nec/documents/BBP%20Data%20at%20Rest.pdf |archive-url=https://web.archive.org/web/20161222160014/http://www.gordon.army.mil/nec/documents/BBP%20Data%20at%20Rest.pdf |archive-date=22 December 2016 |website=Department of the Army |series=Information Assurance Best Business Practice (IA BBP)}}</ref> and there is an increasing recognition that database management systems and file servers should also be considered as at risk;<ref>{{cite web|url=http://www.gartner.com/research/spotlight/asset_63248_895.jsp |archive-url=https://web.archive.org/web/20040502025744/http://www3.gartner.com/research/spotlight/asset_63248_895.jsp |url-status=dead |archive-date=May 2, 2004 |title=IT Research, Magic Quadrants, Hype Cycles |publisher=Gartner |date= |accessdate=2012-12-26}}</ref> the longer data is left unused in storage, the more likely it might be retrieved by unauthorized individuals outside the network.

[[Data encryption]], which prevents data visibility in the event of its unauthorized access or theft, is commonly used to protect data in motion and increasingly promoted for protecting data at rest.<ref>{{cite web|last=Inmon |first=Bill |url=http://www.information-management.com/issues/20050801/1033567-1.html |title=Encryption at Rest - Information Management Magazine Article |publisher=Information-management.com |date= August 2005|accessdate=2012-12-26}}</ref> The encryption of data at rest should only include strong encryption methods such as [[Advanced Encryption Standard|AES]] or [[RSA (algorithm)|RSA]]. Encrypted data should remain encrypted when access controls such as usernames and password fail. Increasing encryption on multiple levels is recommended. [[Cryptography]] can be implemented on the database housing the data and on the physical storage where the databases are stored. Data encryption keys should be updated on a regular basis. Encryption keys should be stored separately from the data. Encryption also enables [[crypto-shredding]] at the end of the data or hardware lifecycle. Periodic auditing of sensitive data should be part of policy and should occur on scheduled occurrences. Finally, only store the minimum possible amount of sensitive data.<ref>{{cite web|url=https://www.owasp.org/index.php/Cryptographic_Storage_Cheat_Sheet |title=Cryptographic Storage Cheat Sheet |publisher=OWASP |date= |accessdate=2012-12-26}}</ref>

[[Tokenization (data security)|Tokenization]] is a non-mathematical approach to protecting data at rest that replaces sensitive data with non-sensitive substitutes, referred to as tokens, which have no extrinsic or exploitable meaning or value. This process does not alter the type or length of data, which means it can be processed by legacy systems such as databases that may be sensitive to data length and type. Tokens require significantly less computational resources to process and less storage space in databases than traditionally encrypted data. This is achieved by keeping specific data fully or partially visible for processing and analytics while sensitive information is kept hidden. Lower processing and storage requirements makes tokenization an ideal method of securing data at rest in systems that manage large volumes of data.

A further method of preventing unwanted access to data at rest is the use of data federation<ref>{{cite web|url=http://www.ibm.com/developerworks/webservices/library/ws-soa-infoserv1 |title=Information service patterns, Part 1: Data federation pattern |publisher=Ibm.com |date= |accessdate=2012-12-26}}</ref> especially when data is distributed globally (e.g. in off-shore archives). An example of this would be a European organisation which stores its archived data off-site in the US. Under the terms of the [[USA PATRIOT Act]]<ref>{{cite web |url=http://www.fincen.gov/statutes_regs/patriot/index.html |title=USA Patriot Act |publisher=Fincen.gov |date=2002-01-01 |accessdate=2012-12-26 |url-status=dead |archiveurl=https://web.archive.org/web/20121228161833/http://www.fincen.gov/statutes_regs/patriot/index.html |archivedate=2012-12-28 }}</ref> the American authorities can demand access to all data physically stored within its boundaries, even if it includes personal information on European citizens with no connections to the US. Data encryption alone cannot be used to prevent this as the authorities have the right to demand decrypted information. A data federation policy which retains personal citizen information with no foreign connections within its country of origin (separate from information which is either not personal or is relevant to off-shore authorities) is one option to address this concern. However, data stored in foreign countries can be accessed using legislation in the [[CLOUD Act]].

===Data in use===
'''Data in use''' is an [[information technology]] term referring to active [[data]] which is stored in a non-persistent digital state or [[volatile memory]], typically in computer [[random-access memory]] (RAM), [[CPU cache]]s, or [[CPU register]]s.<ref name=":0a" />

''Data in use'' has also been taken to mean “active data” in the context of being in a database or being manipulated by an application. For example, some [[enterprise encryption gateway]] solutions for the cloud claim to encrypt data at rest, [[data in transit]] and [[data in use]].<ref>{{cite web|url=http://www.securityweek.com/ciphercloud-brings-encryption-microsoft-office-365 |title=CipherCloud Brings Encryption to Microsoft Office 365 |date= 18 July 2012|accessdate=2013-11-01}}</ref>

Some cloud [[software as a service]] (SaaS) providers refer to data in use as any data currently being processed by applications, as the CPU and memory are utilized.<ref name="GCN">{{cite web |url=http://gcn.com/Articles/2012/09/06/CipherCloud-enryption-for-cloud-apps.aspx |title=CipherCloud encrypts data across multiple cloud apps |publisher=Searchstorage.techtarget.com |date=2012-09-06 |accessdate=2013-11-08 |archive-date=2013-10-29 |archive-url=https://web.archive.org/web/20131029201159/http://gcn.com/articles/2012/09/06/ciphercloud-enryption-for-cloud-apps.aspx |url-status=dead }}</ref>

====Security====
Because of its nature,  data in use is of increasing concern to businesses, government agencies and other institutions. Data in use, or memory, can contain sensitive data including digital certificates, encryption keys, intellectual property (software algorithms, design data), and [[personally identifiable information]].  Compromising data in use enables access to encrypted data at rest and data in motion.  For example, someone with access to random access memory can parse that memory to locate the encryption key for data at rest. Once they have obtained that encryption key, they can decrypt encrypted data at rest.  
Threats to data in use can come in the form of [[cold boot attack]]s, malicious hardware devices, [[rootkit]]s and bootkits.

Encryption, which prevents data visibility in the event of its unauthorized access or theft, is commonly used to protect Data in Motion and Data at Rest and increasingly recognized as an optimal method for protecting Data in Use. There have been multiple projects to encrypt memory. Microsoft [[Xbox]] systems are designed to provide memory encryption and the company [[PrivateCore]] presently has a commercial software product vCage to provide attestation along with full memory encryption for x86 servers.<ref name="Government Computer News">[http://gcn.com/Articles/2014/03/12/data-in-use-encryption.aspx GCN, John Moore, March 12, 2014:"How to lock down data in use -- and in the cloud"]</ref> Several papers have been published highlighting the availability of security-enhanced x86 and ARM commodity processors.<ref name=":0a">M. Henson and S. Taylor [https://link.springer.com/chapter/10.1007%2F978-3-642-38980-1_19 "Beyond full disk encryption:protection on security-enhanced commodity processors"], "Proceedings of the 11th international conference on applied cryptography and network security", 2013</ref><ref>M. Henson and S. Taylor [http://dl.acm.org/citation.cfm?id=2566673, "Memory encryption: a survey of existing techniques"], "ACM Computing Surveys volume 46 issue 4", 2014</ref>  In that work, an [[ARM Cortex-A8]] processor is used as the substrate on which a full memory encryption solution is built.  Process segments (for example, stack, code or heap) can be encrypted individually or in composition.  This work marks the first full memory encryption implementation on a mobile general-purpose commodity processor.  The system provides both confidentiality and integrity protections of code and data which are encrypted everywhere outside the CPU boundary.

For x86 systems, AMD has a Secure Memory Encryption (SME) feature introduced in 2017 with [[Epyc]].<ref>{{cite web |title=Secure Memory Encryption (SME) - x86 |url=https://en.wikichip.org/wiki/x86/sme |website=WikiChip |language=en}}</ref> Intel has promised to deliver its Total Memory Encryption (TME) feature in an upcoming CPU.<ref>{{cite web |title=Total Memory Encryption (TME) - x86 |url=https://en.wikichip.org/wiki/x86/tme |website=WikiChip |language=en}}</ref><ref>{{cite news |last1=Salter |first1=Jim |title=Intel promises Full Memory Encryption in upcoming CPUs |url=https://arstechnica.com/gadgets/2020/02/intel-promises-full-memory-encryption-in-upcoming-cpus/ |work=Ars Technica |date=26 February 2020 |language=en-us}}</ref>

Operating system kernel patches such as [[TRESOR]] and Loop-Amnesia modify the operating system so that CPU registers can be used to store encryption keys and avoid holding encryption keys in RAM. While this approach is not general purpose and does not protect all data in use, it does protect against cold boot attacks.  Encryption keys are held inside the CPU rather than in RAM so that data at rest encryption keys are protected against attacks that might compromise encryption keys in memory.

Enclaves enable an “enclave” to be secured with encryption in RAM so that enclave data is encrypted while in RAM but available as clear text inside the CPU and CPU cache.  Intel Corporation has introduced the concept of “enclaves” as part of its [[Software Guard Extensions]].  Intel revealed an architecture combining software and CPU hardware in technical papers published in 2013.<ref name="Securosis Blog">{{cite web|url=https://securosis.com/blog/intel-software-guard-extensions-sgx-is-mighty-interesting  |title= Intel Software Guard Extensions (SGX) Is Mighty Interesting |publisher=Securosis |date=2013-07-15 | accessdate=2013-11-08}}</ref>

Several cryptographic tools, including [[secure multi-party computation]] and [[homomorphic encryption]], allow for the private computation of data on untrusted systems. Data in use could be operated upon while encrypted and never exposed to the system doing the processing.

===Data in transit===
'''Data in transit''', also referred to as '''data in motion'''<ref>{{Cite web |url=https://cloudsecurityalliance.org/guidance/csaguide.v3.0.pdf |title=Data in motion and data in transit both used on cloudsecurityalliance.org |access-date=2016-04-18 |archive-url=https://web.archive.org/web/20160415105252/https://cloudsecurityalliance.org/guidance/csaguide.v3.0.pdf |archive-date=2016-04-15 |url-status=dead }}</ref> and '''data in flight''',<ref>{{Cite web|url=https://cacm.acm.org/magazines/2010/1/55738-data-in-flight/fulltext|title = Data in Flight &#124; January 2010 &#124; Communications of the ACM| date=January 2010 }}</ref> is data en route between source and destination, typically on a [[computer network]]. 

Data in transit can be separated into two categories: information that flows over the public or untrusted network such as the Internet and data that flows in the confines of a private network such as a corporate or enterprise [[local area network]] (LAN).<ref>[http://www.sans.org/reading-room/analysts-program/encryption-Nov07 SANS White Paper on Encryption]</ref>

== Properties of digital information ==
All digital information possesses common properties that distinguish it from analog data with respect to communications:
* '''Synchronization:''' Since digital information is conveyed by the sequence in which symbols are ordered, all digital schemes have some method for determining the beginning of a sequence. In written or spoken human languages, synchronization is typically provided by [[pausa|pauses]] (spaces), [[capitalization]], and [[punctuation]]. Machine communications typically use special [[synchronization sequence]]s.
* '''Language:''' All digital communications require a ''[[formal language]]'', which in this context consists of all the information that the sender and receiver of the digital communication must both possess, in advance, for the communication to be successful. Languages are generally arbitrary and specify the meaning to be assigned to particular symbol sequences, the allowed range of values, methods to be used for synchronization, etc.
* '''Errors:''' Disturbances ([[noise (signal processing)|noise]]) in analog communications invariably introduce some, generally small deviation or error between the intended and actual communication. Disturbances in digital communication only result in errors when the disturbance is so large as to result in a symbol being misinterpreted as another symbol or disturbing the sequence of symbols. It is generally possible to have near-error-free digital communication. Further, techniques such as check codes may be used to [[Error detection and correction|detect errors and correct them]] through redundancy or re-transmission. Errors in digital communications can take the form of ''substitution errors,'' in which a symbol is replaced by another symbol, or ''insertion/deletion'' errors, in which an extra incorrect symbol is inserted into or deleted from a digital message. Uncorrected errors in digital communications have an unpredictable and generally large impact on the information content of the communication.
* '''[[data transmission|Copying]]:''' Because of the inevitable presence of noise, making many successive copies of an analog communication is infeasible because each generation increases the noise. Because digital communications are generally error-free, copies of copies can be made indefinitely.
* '''[[Granularity]]:''' The digital representation of a continuously variable analog value typically involves a selection of the number of symbols to be assigned to that value. The number of symbols determines the precision or resolution of the resulting datum. The difference between the actual analog value and the digital representation is known as ''[[quantization error]]''. For example, if the actual temperature is 23.234456544453 degrees, but only two digits (23) are assigned to this parameter in a particular digital representation, the quantizing error is 0.234456544453. This property of digital communication is known as ''granularity''.
* '''[[data compression|Compressible]]:''' According to Miller, "Uncompressed digital data is very large, and in its raw form, it would actually produce a larger signal (therefore be more difficult to transfer) than analog data. However, digital data can be compressed. Compression reduces the amount of bandwidth space needed to send information.  Data can be compressed, sent, and then decompressed at the site of consumption. This makes it possible to send much more information and results in, for example, [[digital television]] signals offering more room on the airwave spectrum for more television channels."<ref name=":0">{{Cite book |last=Miller |first=Vincent |title=Understanding digital culture |publisher=Sage Publications |year=2011 |isbn=978-1-84787-497-9 |location=London |at=sec. "Convergence and the contemporary media experience"}}</ref>

== Historical digital systems ==
Even though digital signals are generally associated with the binary electronic digital systems used in modern electronics and computing, digital systems are actually ancient, and need not be binary or electronic.
* [[DNA]] [[genetic code]] is a naturally occurring form of digital data storage.
* Written text (due to the limited character set and the use of discrete symbols&nbsp;– the alphabet in most cases)
* The ''[[abacus]]'' was created sometime between 1000 BC and 500 BC, it later became a form of calculation frequency. Nowadays it can be used as a very advanced, yet basic digital calculator that uses beads on rows to represent numbers. Beads only have meaning in discrete up and down states, not in analog in-between states.
* A ''[[beacon]]'' is perhaps the simplest non-electronic digital signal, with just two states (on and off). In particular, ''[[smoke signal]]s'' are one of the oldest examples of a digital signal, where an analog "carrier" (smoke) is [[modulated]] with a blanket to generate a digital signal (puffs) that conveys information.
* [[Morse code]] uses six digital states—dot, dash, intra-character gap (between each dot or dash), short gap (between each letter), medium gap (between words), and long gap (between sentences)—to send messages via a variety of potential carriers such as electricity or light, for example using an [[electrical telegraph]] or a flashing light.
* The [[Braille]] uses a six-bit code rendered as dot patterns.
* [[Flag semaphore]] uses rods or flags held in particular positions to send messages to the receiver watching them some distance away.
* [[International maritime signal flags]] have distinctive markings that represent letters of the alphabet to allow ships to send messages to each other.
* More recently invented, a [[modem]] modulates an analog "carrier" signal (such as sound) to encode binary electrical digital information, as a series of binary digital sound pulses. A slightly earlier, surprisingly reliable version of the same concept was to bundle a sequence of audio digital "signal" and "no signal" information (i.e. "sound" and "silence") on [[compact audio cassette|magnetic cassette tape]] for use with early [[home computer]]s.

== See also ==
{{div col||colwidth=20em}}
* [[Analog-to-digital converter]]
* [[Barker code]]
* [[Binary number]]
* [[Comparison of analog and digital recording]]
* [[Computer data storage]]
* [[Data (computer science)]]
* [[Data remanence]]
* [[Digital architecture]]
* [[Digital art]]
* [[Digital control]]
* [[Digital divide]]
* [[Digital electronics]]
* [[Digital infinity]]
* [[Digital native]]
* [[Digital physics]]
* [[Digital recording]]
* [[Digital Revolution]]
* [[Digital video]]
* [[Digital-to-analog converter]]
* [[Internet forum]]
{{div col end}}

== References ==
{{reflist}}

== Further reading ==
* Tocci, R. 2006. Digital Systems: Principles and Applications (10th Edition). Prentice Hall. {{ISBN|0-13-172579-3}}

{{Digital systems}}

{{DEFAULTSORT:Digital data}}
[[Category:Digital media]]
[[Category:Computer data]]
[[Category:Digital systems]]
[[Category:Digital technology]]
[[Category:Consumer electronics]]