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Jesse White

Mrs. Maxwell

British Literature

30 October 2011

                              The Turing Machine and Data Storage

       So just to make sure that everyone is clear on this: computers are everywhere. Let there

be an extra emphasis on everywhere. In your clock, in your phone, in your car, in your coffee

maker, in your television, in your thermostat, and in your oh so precious iPod are computers.

There is almost no place with human habitation that you cannot find some form of computer.

These machines are fantastic. They are all unbelievable, and they are all based off of one simple

idea: an idea of a machine and an infinite tape. But before anything else is discussed, the issue of

what exactly a computer is should be settled.

       Well the term computer is not new at the very least. It was actually used as early as 1613

to describe someone that performs calculations. The meaning grew as machines were developed

that performed simple calculations and eventually was only applied to such machines. Obviously,

this is not the current usage of the term. What computer now generally refers to is any device

that is considered a “universal Turing machine”, which is any machine that mimics the “Turing

Machine”. This term, coined by one Alan Turing, is an idea, one of an imaginary machine that

manipulates a chain of symbols off of an infinite tape, storing only one symbol at a time, with

this symbol adjusting the behavior of the machine. The machine is also able to move itself along

the tape freely in order perform its functions. While such a strange machine seems a far cry from

our modern digital computing, they are truly one and the same. Machine language is

manipulated on magnetic disks and the language is stored in Random Access Memory, thus
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modifying the function of the Central Processing Unit which adjusts the language that is stored

on the magnetic disks. The process is identical, but the names are different. This is our digital

computer.

       The next item up for examination, extrapolation, and general discussion is data storage,

that wonderful “infinite tape” of the Turing Machine. It is arguable that this is the most important

component of the machine, but most importantly about it, is the wide variety of types of data

storage. There are four main categories of methods of data storage: primary data storage,

secondary data storage, tertiary data storage, and off-line data storage. Primary data storage is the

fastest type of data storage, as it should be, seeing as how it being what it is means that it is

directly accessible by the CPU. Secondary data storage is any media that is not directly

accessible by the CPU, but it is still able to be accessed typically through input/output channels.

Tertiary storage media that requires the media be physically loaded into a drive, but is done

without human interference. The final method of data storage is off-line data storage. This type

of storage is when data is stored in a typical secondary or tertiary storage device, but a human is

required to physically load the device or media.

       Modern primary data storage is fast. It is fast, but it is volatile; volatile meaning that

when the machine is powered off, all data stored on the device is lost. As of now, there are three

locations where primary storage is on in a machine. The first is inside the CPU itself, which is

called the processor register. There are typically multiple processor registers and each one’s data

storage capacity is ridiculously small. Despite their size however, the processor registers are the

absolute fastest methods of data storage, and are used to hold commands that the CPU uses

directly in order to have instructions on how manipulate other data. After the processor registers

are the processor caches. There are typically three caches nowadays, with caches one two and
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three successively larger and slower than the last, just as the entire data storage hierarchy does.

While not quite as fast as the effectively instant processor registers, the processor caches are

blazingly fast. The final type of primary data storage is consistently called the “main memory”.

This storage is nowhere near as fast as the other forms of primary storage (meaning the measure

of time is now in milliseconds instead of nanoseconds). However, despite its relatively slow

speed, main memory is also ridiculously large when compared to the others. After the main

memory comes an entirely different type of data storage, the secondary storage, at which point,

humans are actually capable of realizing that the transfer of data is not instant.

       Of the types of secondary data storage, there are actual tapes that are magnetized, optical

media, flash memory, and disks that are magnetized. And each of these has their own uses. The

first up to plate is the magnetized tape. Now used primarily in things such as credit cards, this

method of data storage has been used in floppy disks and cassette tapes. It was the first method

that was used to store data in a digital format being followed by the magnetized disk which is

known as the hard disk drive or HDD. The HDD consists of multiple spinning platters and is

currently the method capable of storing the most data per device. A relatively fast method of data

storage, the HDD is bested only by the flash memory in the category of read/write speeds. Flash

memory is a magical device that manages to hold an electrical charge in floating-gate transistors.

It is really incredibly confusing, so Mr. Clarke’s third law of “any sufficiently advanced

technology is indistinguishable from magic” is most definitely applicable in this situation. But it

is basically a bunch of metallic cells that are insulated by resistors giving them the ability to hold

a charge for years. As with any emerging technology, the cost of this method of data storage is

high. However it is the method that offers the absolute best performance when it comes to speed.

Along with being incredibly fast, it also is essentially unaffected by environment conditions,
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makes no sound, consumes one half to one third of the power of the average HDD, is unaffected

by magnetic interference, is able to read and write to multiple flash chips simultaneously, and is

smaller and lighter than the HDD. The most significant drawbacks of flash memory being that it

has a limited number of read/write cycles, its performance degrades as cells are used, and that

data already written to flash memory is incredibly difficult to truly delete due to the algorithms

that are implemented to combat the dilemma of possessing a limited number of read/write cycles.

The final type of secondary data storage is optical media. Optical Medias are forms of secondary

data storage that utilize lasers to read data that is typically stored on a disc. CDs, DVDs, and BDs

all contain pits (depressions) and lands (flat areas) in a metallic layer. When a disc is read, a

laser detects the sequence of pits and lands in that metallic layer which are understood by the

device as true and false, zero and one, binary code. Optical Medias are an incredibly reliable

form of data storage as they will continue to be able to be read until someone with a less than

average intelligence decides that it would be a good idea to put it in the microwave or write all

over the protective polycarbonate layer, or be an even bigger moron and break the disc in half

altogether. Point is, the disc should be readable indefinitely. This reliability is great for

archiving purposes. Another high point of the media is its affordability. Due to the media’s high

affordability, it has for quite a while been used as the primary mode of secondary data storage for

the entertainment world. However due to recent advancements in data transfer via the Internet,

the media has begun to die out for its uses in data transfer, and is now primarily used for reliable

data archival.

       Tertiary storage is technically a type of data storage, but it is really only used for archival

purposes, such as in the library of a university or in a jukebox or something. All it means is that

while the processor technically has access to the data, a device must be physically mounted by
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some kind of robotics before it can be accessed. This is very similar to off-line storage, which is

the final type of data storage. The only differences between tertiary and off-line storage is that a

human must mount the device instead of the CPU using a robotic device to mount the storage

device. Also of note about tertiary and off-line storage devices is that despite its inclusion in

secondary data storage, optical storage is typically used in a manner that would have it fall under

tertiary or off-line data storage.

        All four types of storage can be considered to be the “infinite tape” of Turing’s machine.

Turing’s machine is the basis for every digital device that exists today, and every single one of

those devices uses one type of data storage device or another. So the gist of everything is

essentially that there is a lot of data in this world, that data needs to be held somewhere,

somehow, and that the universal Turing machine and all of the forms of data storage manage to

hold the majority of humanity’s information.
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                                         Works Cited

Jacobson, Carol. (1998) Fundamentals of Data Storage NCGIA Core Curriculum in GIScience, 6

       Oct. 1998. Web. 30 Oct. 2011 <http://www.ncgia.ucsb.edu/giscc/units/u037/u037.html>.

Lyons, Bob. Introduction to Turing Machines, Unidex Inc, 4 Oct. 2008. Web. 30 Oct. 2011

       <www.unidex.com/turing/tm_intro.htm>.

Copeland, Jack. Bio of Turing, The Turing Archive for the History of Computing, Jul. 2003.

       Web. 30 Oct. 2011 <www.alanturing.net/index.htm>.

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Research Paper

  • 1. White 1 Jesse White Mrs. Maxwell British Literature 30 October 2011 The Turing Machine and Data Storage So just to make sure that everyone is clear on this: computers are everywhere. Let there be an extra emphasis on everywhere. In your clock, in your phone, in your car, in your coffee maker, in your television, in your thermostat, and in your oh so precious iPod are computers. There is almost no place with human habitation that you cannot find some form of computer. These machines are fantastic. They are all unbelievable, and they are all based off of one simple idea: an idea of a machine and an infinite tape. But before anything else is discussed, the issue of what exactly a computer is should be settled. Well the term computer is not new at the very least. It was actually used as early as 1613 to describe someone that performs calculations. The meaning grew as machines were developed that performed simple calculations and eventually was only applied to such machines. Obviously, this is not the current usage of the term. What computer now generally refers to is any device that is considered a “universal Turing machine”, which is any machine that mimics the “Turing Machine”. This term, coined by one Alan Turing, is an idea, one of an imaginary machine that manipulates a chain of symbols off of an infinite tape, storing only one symbol at a time, with this symbol adjusting the behavior of the machine. The machine is also able to move itself along the tape freely in order perform its functions. While such a strange machine seems a far cry from our modern digital computing, they are truly one and the same. Machine language is manipulated on magnetic disks and the language is stored in Random Access Memory, thus
  • 2. White 2 modifying the function of the Central Processing Unit which adjusts the language that is stored on the magnetic disks. The process is identical, but the names are different. This is our digital computer. The next item up for examination, extrapolation, and general discussion is data storage, that wonderful “infinite tape” of the Turing Machine. It is arguable that this is the most important component of the machine, but most importantly about it, is the wide variety of types of data storage. There are four main categories of methods of data storage: primary data storage, secondary data storage, tertiary data storage, and off-line data storage. Primary data storage is the fastest type of data storage, as it should be, seeing as how it being what it is means that it is directly accessible by the CPU. Secondary data storage is any media that is not directly accessible by the CPU, but it is still able to be accessed typically through input/output channels. Tertiary storage media that requires the media be physically loaded into a drive, but is done without human interference. The final method of data storage is off-line data storage. This type of storage is when data is stored in a typical secondary or tertiary storage device, but a human is required to physically load the device or media. Modern primary data storage is fast. It is fast, but it is volatile; volatile meaning that when the machine is powered off, all data stored on the device is lost. As of now, there are three locations where primary storage is on in a machine. The first is inside the CPU itself, which is called the processor register. There are typically multiple processor registers and each one’s data storage capacity is ridiculously small. Despite their size however, the processor registers are the absolute fastest methods of data storage, and are used to hold commands that the CPU uses directly in order to have instructions on how manipulate other data. After the processor registers are the processor caches. There are typically three caches nowadays, with caches one two and
  • 3. White 3 three successively larger and slower than the last, just as the entire data storage hierarchy does. While not quite as fast as the effectively instant processor registers, the processor caches are blazingly fast. The final type of primary data storage is consistently called the “main memory”. This storage is nowhere near as fast as the other forms of primary storage (meaning the measure of time is now in milliseconds instead of nanoseconds). However, despite its relatively slow speed, main memory is also ridiculously large when compared to the others. After the main memory comes an entirely different type of data storage, the secondary storage, at which point, humans are actually capable of realizing that the transfer of data is not instant. Of the types of secondary data storage, there are actual tapes that are magnetized, optical media, flash memory, and disks that are magnetized. And each of these has their own uses. The first up to plate is the magnetized tape. Now used primarily in things such as credit cards, this method of data storage has been used in floppy disks and cassette tapes. It was the first method that was used to store data in a digital format being followed by the magnetized disk which is known as the hard disk drive or HDD. The HDD consists of multiple spinning platters and is currently the method capable of storing the most data per device. A relatively fast method of data storage, the HDD is bested only by the flash memory in the category of read/write speeds. Flash memory is a magical device that manages to hold an electrical charge in floating-gate transistors. It is really incredibly confusing, so Mr. Clarke’s third law of “any sufficiently advanced technology is indistinguishable from magic” is most definitely applicable in this situation. But it is basically a bunch of metallic cells that are insulated by resistors giving them the ability to hold a charge for years. As with any emerging technology, the cost of this method of data storage is high. However it is the method that offers the absolute best performance when it comes to speed. Along with being incredibly fast, it also is essentially unaffected by environment conditions,
  • 4. White 4 makes no sound, consumes one half to one third of the power of the average HDD, is unaffected by magnetic interference, is able to read and write to multiple flash chips simultaneously, and is smaller and lighter than the HDD. The most significant drawbacks of flash memory being that it has a limited number of read/write cycles, its performance degrades as cells are used, and that data already written to flash memory is incredibly difficult to truly delete due to the algorithms that are implemented to combat the dilemma of possessing a limited number of read/write cycles. The final type of secondary data storage is optical media. Optical Medias are forms of secondary data storage that utilize lasers to read data that is typically stored on a disc. CDs, DVDs, and BDs all contain pits (depressions) and lands (flat areas) in a metallic layer. When a disc is read, a laser detects the sequence of pits and lands in that metallic layer which are understood by the device as true and false, zero and one, binary code. Optical Medias are an incredibly reliable form of data storage as they will continue to be able to be read until someone with a less than average intelligence decides that it would be a good idea to put it in the microwave or write all over the protective polycarbonate layer, or be an even bigger moron and break the disc in half altogether. Point is, the disc should be readable indefinitely. This reliability is great for archiving purposes. Another high point of the media is its affordability. Due to the media’s high affordability, it has for quite a while been used as the primary mode of secondary data storage for the entertainment world. However due to recent advancements in data transfer via the Internet, the media has begun to die out for its uses in data transfer, and is now primarily used for reliable data archival. Tertiary storage is technically a type of data storage, but it is really only used for archival purposes, such as in the library of a university or in a jukebox or something. All it means is that while the processor technically has access to the data, a device must be physically mounted by
  • 5. White 5 some kind of robotics before it can be accessed. This is very similar to off-line storage, which is the final type of data storage. The only differences between tertiary and off-line storage is that a human must mount the device instead of the CPU using a robotic device to mount the storage device. Also of note about tertiary and off-line storage devices is that despite its inclusion in secondary data storage, optical storage is typically used in a manner that would have it fall under tertiary or off-line data storage. All four types of storage can be considered to be the “infinite tape” of Turing’s machine. Turing’s machine is the basis for every digital device that exists today, and every single one of those devices uses one type of data storage device or another. So the gist of everything is essentially that there is a lot of data in this world, that data needs to be held somewhere, somehow, and that the universal Turing machine and all of the forms of data storage manage to hold the majority of humanity’s information.
  • 6. White 6 Works Cited Jacobson, Carol. (1998) Fundamentals of Data Storage NCGIA Core Curriculum in GIScience, 6 Oct. 1998. Web. 30 Oct. 2011 <http://www.ncgia.ucsb.edu/giscc/units/u037/u037.html>. Lyons, Bob. Introduction to Turing Machines, Unidex Inc, 4 Oct. 2008. Web. 30 Oct. 2011 <www.unidex.com/turing/tm_intro.htm>. Copeland, Jack. Bio of Turing, The Turing Archive for the History of Computing, Jul. 2003. Web. 30 Oct. 2011 <www.alanturing.net/index.htm>.