Dictionary Definition
calculator
Noun
1 a small machine that is used for mathematical
calculations [syn: calculating
machine]
2 an expert at calculation (or at operating
calculating machines) [syn: reckoner, figurer, estimator, computer]
User Contributed Dictionary
English
Etymology
Pronunciation
- /ˈkæl.kjə.leɪ.tə(r)/, /"k
Extensive Definition
A calculator is an electronic device for
performing mathematical calculations, distinguished from a computer by a limited problem
solving ability and an interface optimized for interactive
calculation rather than programming. Calculators can be hardware or
software, and mechanical or electronic, and are often built into
devices such as PDAs or mobile
phones. Modern electronic calculators are generally small,
digital, (often pocket-sized) and usually inexpensive. In addition
to general purpose calculators, there are those designed for
specific markets; for example, there are scientific
calculators which focus on advanced math like trigonometry and statistics. Modern
calculators are more portable than most computers, though most
PDAs are comparable in size to handheld
calculators.
Overview
In the past, mechanical clerical aids such as abaci, comptometers, Napier's bones, books of mathematical tables, slide rules, or mechanical adding machines were used for numeric work. This semi-manual process of calculation was tedious and error-prone.Modern calculators are
electrically powered (usually by battery and/or solar cell)
and vary from cheap, give-away, credit-card sized models to sturdy
adding machine-like models with built-in printers. They first
became popular in the late 1960s as decreasing size and cost of
electronics made possible devices for calculations, avoiding the
use of scarce and expensive computer resources. By the 1980s,
calculator prices had reduced to a point where a basic calculator
was affordable to most. By the 1990s they had become common in math
classes in schools, with the idea that students could be freed from
basic calculations and focus on the concepts.
Computer operating systems as
far back as early
Unix have included interactive calculator programs such as
dc and
hoc,
and calculator functions are included in almost all PDA-type
devices (save a few dedicated address book and dictionary
devices).
Electronic calculators
In the past, some calculators were as large as today's computers. The first mechanical calculators were mechanical desktop devices which were replaced by electromechanical desktop calculators, and then by electronic devices using first thermionic valves, then transistors, then hard-wired integrated circuit logic. By the mid-1970s, pocket-sized calculators based on ICs were routinely available, often at prices less than $100, and by the early 1980s the LED displays of 1970s units had been replaced by power-saving liquid crystal displays. Modern electronic calculators range in size from keychain-sized units only a couple of centimeters long all the way up to desktop calculators the size of a textbook, and in complexity from very basic up to graphing calculators capable of video display and sometimes extensive general-purpose programming capability.Basic configuration
A simple modern calculator (usually known colloquially as a "four function" calculator, even with the presence of a square root button) might consist of the following parts:- A power source, such as a battery or a solar panel or both
- A display, usually made from LED lights or liquid crystal (LCD), capable of showing a number of digits (typically 8 or 10)
- Electronic circuitry (often a single chip and some other components)
- A keypad containing:
- The ten digits, 0 to 9
- The decimal point
- The equals sign, to prompt for the answer
- The four arithmetic functions (addition, subtraction, multiplication and division)
- A Cancel (or clear) button, to clear the calculation
- On and off buttons
- Other basic functions, such as square root and percentage (%) (desktop models will sometimes add tax functions and significant digit selectors to simplify work with money)
- A single-number memory, which can be recalled where necessary. It might also have a Cancel Entry button, to clear the numbers entered. (Many scientific calculators have multiple variables available.)
Since the late-1980s,
calculators have been installed in other small devices, such as
mobile
phones, pagers or
wrist watches.
Scientific and financial calculators
More complex scientific calculators support trigonometric, statistical and other mathematical functions. The most advanced modern calculators can display graphics, and include features of computer algebra systems. They are also programmable; calculator applications include algebraic equation solvers, financial models and even games. Most calculators of this type can print numbers up to ten digits or decimal places in full on the screen. Scientific notation is used to notate numbers up to a limit chosen by the calculator designer, such as 9.999999999×10. If a larger number or a mathematical expression yielding a larger number than this is entered (a common example comes from typing "100!", read as "100 factorial") then the calculator might simply display "Error"."Error" might also be
displayed if a function or an operation is undefined
mathematically; for example, division
by zero or even roots of
negative numbers (most scientific calculators do not allow complex
numbers, though a few do have a special function for working
with them). Some, but not most, calculators do distinguish between
these two types of "error", though when they do, it is not always
easy for the user to understand because they are often given as
"Error 1" or "Error 2".
Financial calculators are
similar in overall design to scientific calculators, but specialize
in time
value of money calculations and are used in the accounting and real estate
professions.
Only a few companies make
professional engineering and finance calculators. They include
Casio,
Sharp,
Hewlett-Packard
(HP), Victor
and Texas
Instruments (TI), as well as Chinese manufacturer Karce, who provides
OEM calculators
for the private
label market. Such calculators are examples of embedded
systems.
Use in education
In most countries, students use calculators for schoolwork. There was some initial resistance to the idea out of fear that basic arithmetic skills would suffer. There remains disagreement about the importance of the ability to perform calculations by hand or "in the head", with some curricula restricting calculator use until a certain level of proficiency has been obtained, while others concentrate more on teaching estimation techniques and problem-solving. Research suggests that inadequate guidance in the use of calculating tools can restrict the kind of mathematical thinking that students engage in. Others have argued that calculator use can even cause core mathematical skills to atrophy, or that such use can prevent understanding of advanced algebraic concepts.There are other concerns - for
example, that a pupil could use the calculator in the wrong fashion
but believe the answer because that was the result given. Teachers
try to combat this by encouraging the student to make an estimate
of the result manually and ensuring it roughly agrees with the
calculated result. Also, it is possible for a child to type in
−1 × −1 and obtain the
correct answer '1' without realizing the principle involved. In
this sense, the calculator becomes a crutch rather than a learning
tool, and it can slow down students in exam conditions as they
check even the most trivial result on a calculator.
Other concerns on usage
Errors are not restricted to school pupils. Any user could carelessly rely on the calculator's output without double-checking the magnitude of the result — i.e., where the decimal point is positioned. This problem was all but nonexistent in the era of slide rules and pencil-and-paper calculations, when the task of establishing the magnitudes of results had to be done by the user. In addition, algorithmic flaws and rounding techniques can sometimes lead to minor precision errors.Some fractions such as 2/3 are
awkward to display on a calculator display as they are usually
rounded to 0.66666667. Also, some fractions such as 1/7 which is
0.14285714285714 can be difficult to recognize in decimal form; as
a result, many scientific calculators are able to work in vulgar
fractions and/or mixed
numbers.
Calculating vs. computing
The fundamental difference between calculators and computers is that computers can be programmed to perform different tasks while calculators are pre-designed with specific functions built in, for example addition, multiplication, logarithms, etc. While computers may be used to handle numbers, they can also manipulate words, images or sounds and other tasks they have been programmed to handle. However, the distinction between the two is quite blurred; some calculators have built-in programming functions, ranging from simple formula entry to full programming languages such as RPL or TI-BASIC. Graphing calculators in particular can, along with PDAs, be viewed as direct descendants of the 1980s pocket computers, essentially calculators with full keyboards and programming capability.The market for calculators is
extremely price-sensitive, to an even greater extent than the
personal computer market; typically the user desires the least
expensive model having a specific feature set, but does not care
much about speed (since speed is constrained by how fast the user
can press the buttons). Thus designers of calculators strive to
minimize the number of logic elements on the chip, not the number
of clock cycles needed to do a computation.
For instance, instead of a
hardware multiplier, a calculator might implement floating
point mathematics with code in ROM, and
compute trigonometric functions with the CORDIC algorithm
because CORDIC does not require hardware floating-point. Bit serial
logic designs are more common in calculators whereas bit parallel
designs dominate general-purpose computers, because a bit serial
design minimizes the chip complexity, but takes many more clock
cycles. (Again, the line blurs with high-end calculators, which use
processor chips associated with computer and embedded systems
design, particularly the Z80, MC68000, and
ARM
architectures, as well as some custom designs specifically made for
the calculator market.)
Personal
computers and personal
digital assistants can perform general calculations in a
variety of ways:
- Most computer operating systems, at least those that support some kind of multitasking, include calculator programs, both text mode (such as the Unix bc (1) language) and graphical mode (Mac OS Calculator, Microsoft Calculator, KCalc, Grapher). Most, though not all, imitate the interface of a physical calculator. Some shell programs and interpreted programming languages also provide interactive calculation functions.
- For more complex calculations requiring large amounts of organized data, spreadsheet programs such as Excel or OpenOffice.org Calc provide calculation and sometimes reporting functions.
- Computer algebra programs such as Mathematica, and others can handle advanced calculations.
- Client-side scripting can be used for calculations, e.g. by entering "javascript:alert('calculation written in JavaScript')" in a web browser's address bar (as opposed to "http://website name"). Such calculations can be embedded in a separate Javascript or HTML file as well.
- Online calculators such as the calculator feature of the Google search engine can perform calculations server-side.
History
Origin: the abacus
The first calculators were abaci, and were often constructed as a wooden frame with beads sliding on wires. Abacuses were in use centuries before the adoption of the written Arabic numerals system and are still used by some merchants, fishermen and clerks in China and elsewhere.The 17th century
William Oughtred invents the slide rule in 1622 and is revealed by his student Richard Delamain in 1630. Wilhelm Schickard built the first automatic calculator called the "Calculating Clock" in 1623. Some 20 years later, in 1643, French philosopher Blaise Pascal invented the calculation device later known as the Pascaline, which was used for taxes in France until 1799. The German philosopher G.W.v. Leibniz also produced a calculating machine.The 19th century
- In 1822 Charles Babbage proposed a mechanical calculator, called a difference engine, which was capable of holding and manipulating seven numbers of 31 decimal digits each. Babbage produced two designs for the difference engine and a further design for a more advanced mechanical programmable computer called an analytical engine. None of these designs were completely built by Babbage. In 1991 the London Science Museum followed Babbage's plans to build a working difference engine using the technology and materials available in the 19th century.
- In 1853 Per Georg Scheutz completed a working difference engine based on Babbage's design. The machine was the size of a piano, and was demonstrated at the Exposition Universelle in Paris in 1855. It was used to create tables of logarithms.
- In 1872, Frank Baldwin in the U.S.A. invented the pinwheel calculator, which was also independently invented two years later by W.T. Odhner in Russia. The Odhner models, and similar designs from other companies, sold many thousands into the 1970s.
- In 1875 Martin Wiberg re-designed the Babbage/Scheutz difference engine and built a version that was the size of a sewing machine.
- Dorr E. Felt, in the U.S.A., invented the Comptometer in 1884, the first successful key-driven adding and calculating machine ["key-driven" refers to the fact that just pressing the keys causes the result to be calculated, no separate lever has to be operated]. In 1886 he joined with Robert Tarrant to form the Felt & Tarrant Manufacturing Company which went on to make thousands of Comptometers.
- In 1891 William S. Burroughs began commercial manufacture of his printing adding calculator. Burroughs Corporation became one of the leading companies in the accounting machine and computer businesses.
- The "Millionaire" calculator was introduced in 1893. It allowed direct multiplication by any digit - "one turn of the crank for each figure in the multiplier".
1900s to 1960s
Mechanical calculators reach their zenith
The first half of the 20th century saw the gradual development of the mechanical calculator mechanism.The Dalton adding-listing
machine introduced in 1902 was the first of its type to use only
ten keys, and became the first of many different models of "10-key
add-listers" manufactured by many companies. In 1948 the miniature
Curta
calculator, that was held in one hand for operation, was introduced
after being developed by Curt
Herzstark in a Nazi concentration camp. This was an extreme
development of the stepped-gear calculating mechanism.
From the early 1900s through
the 1960s, mechanical calculators dominated the desktop computing
market (see
History of computing hardware). Major suppliers in the USA
included Friden,
Monroe,
and SCM/Marchant.
(Some comments about European calculators follow below.) These
devices were motor-driven, and had movable carriages where results
of calculations were displayed by dials. Nearly all keyboards were
full — each digit that could be entered had its own column of nine
keys, 1..9, plus a column-clear key, permitting entry of several
digits at once. (See the illustration of a 1914 mechanical
calculator.) One could call this parallel entry, by way of contrast
with ten-key serial entry that was commonplace in mechanical adding
machines, and is now universal in electronic calculators. (Nearly
all Friden calculators had a ten-key auxiliary keyboard for
entering the multiplier when doing multiplication.) Full keyboards
generally had ten columns, although some lower-cost machines had
eight. Most machines made by the three companies mentioned did not
print their results, although other companies, such as Olivetti,
did make printing calculators.
In these machines, Addition and
subtraction were
performed in a single operation, as on a conventional adding
machine, but multiplication and
division
were accomplished by repeated mechanical additions and
subtractions. Friden made
a calculator that also provided square roots,
basically by doing division, but with added mechanism that
automatically incremented the number in the keyboard in a
systematic fashion. Friden and Marchant (Model SKA) made
calculators with square root. Handheld mechanical calculators such
as the 1948 Curta continued to be
used until they were displaced by electronic calculators in the
1970s.
The Facit, Triumphator, and
Walther calculators are typical European machines. Similar-looking
machines included the Odhner and Brunsviga. Although these are
operated by handcranks, there were motor-driven versions. Most
machines that look like these use the Odhner mechanism, or
variations of it. The Olivetti Divisumma did all four basic
operations of arithmetic, and has a printer. Full-keyboard
machines, including motor-driven ones, were also used in Europe for
many decades. Some European machines had as many as 20 columns in
their full keyboards.
The development of electronic calculators
The first main-frame computers, using firstly vacuum tubes and later transistors in the logic circuits, appeared in the late 1940s and 1950s. This technology was to provide a stepping stone to the development of electronic calculators.In 1954, IBM, in the U.S.A., demonstrated
a large all-transistor calculator and, in
1957, the company released the first commercial all-transistor
calculator, the IBM 608, though
it was housed in several cabinets and cost about $80,000http://www-03.ibm.com/ibm/history/exhibits/vintage/vintage_4506VV2214.html.
The Casio Computer Co.,
in Japan,
released the Model 14-A calculator in 1957, which was the world's
first all-electric "compact" calculator. It did not use electronic
logic but was based on relay technology, and was built
into a desk.
In October 1961, the world's
first all-electronic desktop calculator, the Bell Punch/Sumlock
Comptometer ANITA
(A New Inspiration To Arithmetic/Accounting) was announced. This
British designed-and-built machine used vacuum tubes,
cold-cathode tubes and Dekatrons in its
circuits, with 12 cold-cathode "Nixie"-type
tubes for its display. Two models were displayed, The Mk VII for
continental Europe and the Mk VIII for Britain and the rest of the
world, both for delivery from early 1962. The Mk VII was a slightly
earlier design with a more complicated mode of multiplication and
was soon dropped in favour of the simpler Mark VIII version. The
ANITA had a full keyboard, similar to mechanical Comptometers of
the time, a feature that was unique to it and the later Sharp
CS-10A among electronic calculators. Bell Punch had been producing
key-driven mechanical calculators of the Comptometer
type under the names "Plus" and "Sumlock", and had realised in the
mid-1950s that the future of calculators lay in electronics. They
employed the young graduate Norbert Kitz, who had worked on the
early British Pilot ACE
computer project, to lead the development. The ANITA
sold well since it was the only electronic desktop calculator
available, and was silent and quick.
The tube technology of the
ANITA
was superseded in June 1963, by the U.S. manufactured Friden
EC-130,
which had an all-transistor design, 13-digit capacity on a 5-inch
CRT,
and introduced reverse Polish notation (RPN)
to the calculator market for a price of $2200, which was about
triple the cost of an electromechanical calculator of the time.
Like Bell Punch, Friden was a manufacturer of mechanical
calculators that had decided that the future lay in electronics. In
1964 more all-transistor elctronic calculators were introduced:
Sharp
introduced the CS-10A, which
weighed 25 kg (55 lb) and cost 500,000 yen (~US$2500), and
Industria Macchine Elettroniche of Italy introduced the IME 84, to
which several extra keyboard and display units could be connected
so that several people could make use of it (but apparently not at
the same time).
There followed a series of
electronic calculator models from these and other manufacturers,
including Canon, Mathatronics, Olivetti, SCM
(Smith-Corona-Marchant), Sony, Toshiba, and Wang. The early
calculators used hundreds of Germanium
transistors, since these were then cheaper than Silicon
transistors, on multiple circuit boards. Display types used were
CRT,
cold-cathode Nixie tubes,
and filament
lamps. Memory technology was usually based on the delay
line memory or the magnetic
core memory, though the Toshiba "Toscal" BC-1411 appears to use
an early form of dynamic RAM
built from discrete components. Already there was a desire for
smaller and less power-hungry machines.
The Olivetti Programma
101 was introduced in late 1965; it was a stored program
machine which could read and write magnetic cards and displayed
results on its built-in printer. Memory, implemented by an acoustic
delay line, could be partitioned between program steps, constants,
and data registers. Programming allowed conditional testing and
programs could also be overlaid by reading from magnetic cards. It
is regarded as the first personal computer produced by a company
(that is, a desktop electronic calculating machine programmable by
non-specialists for personal use). The Olivetti Programma 101 won
many industrial design awards.
The Monroe Epic
programmable calculator came on the market in 1967. A large,
printing, desk-top unit, with an attached floor-standing logic
tower, it was capable of being programmed to perform many
computer-like functions. However, the only branch instruction was
an implied unconditional branch (GOTO) at the end of the operation
stack, returning the program to its starting instruction. Thus, it
was not possible to include any conditional
branch (IF-THEN-ELSE) logic. During this era, the absence of
the conditional branch was sometimes used to distinguish a
programmable calculator from a computer.
The first handheld calculator
was developed by Texas
Instruments in 1967. It could add, multiply, subtract, and
divide, and its output device was a paper tape.
1970s to mid-1980s
The electronic calculators of the mid-1960s were large and heavy desktop machines due to their use of hundreds of transistors on several circuit boards with a large power consumption that required an AC power supply. There were great efforts to put the logic required for a calculator into fewer and fewer integrated circuits (chips) and calculator electronics was one of the leading edges of semiconductor development. U.S. semiconductor manufacturers led the world in Large Scale Integration (LSI) semiconductor development, squeezing more and more functions into individual integrated circuits. This led to alliances between Japanese calculator manufacturers and U.S. semiconductor companies: Canon Inc. with Texas Instruments, Hayakawa Electric (later known as Sharp Corporation) with North-American Rockwell Microelectronics, Busicom with Mostek and Intel, and General Instrument with Sanyo.Pocket calculators
By 1970 a calculator could be made using just a few chips of low power consumption, allowing portable models powered from rechargeable batteries. The first portable calculators appeared in Japan in 1970, and were soon marketed around the world. These included the Sanyo ICC-0081 "Mini Calculator", the Canon Pocketronic, and the Sharp QT-8B "micro Compet". The Canon Pocketronic was a development of the "Cal-Tech" project which had been started at Texas Instruments in 1965 as a research project to produce a portable calculator. The Pocketronic has no traditional display; numerical output is on thermal paper tape. As a result of the "Cal-Tech" project Texas instruments was granted master patents on portable calculators.Sharp put in great efforts in
size and power reduction and introduced in January 1971 the
Sharp
EL-8, also marketed as the Facit 1111, which was close to being
a pocket calculator. It weighed about one pound, had a vacuum
fluorescent display, rechargeable NiCad batteries, and
initially sold for $395.
However, the efforts in
integrated circuit development culminated in the introduction in
early 1971 of the first "calculator on a chip", the MK6010 by
Mostek,
followed by Texas Instruments later in the year. Although these
early hand-held calculators were very expensive, these advances in
electronics, together with developments in display technology (such
as the vacuum
fluorescent display, LED, and LCD), lead within a few
years to the cheap pocket calculator available to all.
The first truly pocket-sized
electronic calculator was the Busicom
LE-120A "HANDY", which was marketed early in 1971. Made in
Japan, this was also the first calculator to use an LED display, the first
hand-held calculator to use a single integrated circuit (then
proclaimed as a "calculator on a chip"), the Mostek MK6010, and
the first electronic calculator to run off replaceable batteries.
Using four AA-size cells the LE-120A measures 4.9x2.8x0.9 in
(124x72x24 mm).
The first American-made
pocket-sized calculator, the Bowmar 901B (popularly referred to as
The Bowmar Brain), measuring 5.2×3.0×1.5 in (131×77×37 mm), came
out in the fall of 1971, with four functions and an eight-digit red
LED
display, for $240, while in August 1972 the four-function Sinclair
Executive became the first slimline pocket calculator measuring
5.4×2.2×0.35 in (138×56×9 mm) and weighing 2.5 oz (70g). It
retailed for around $150 (GB£79). By
the end of the decade, similar calculators were priced less than
$10 (GB£5).
The first Soviet-made
pocket-sized calculator, the "Elektronika B3-04" was developed by
the end of 1973 and sold at the beginning of 1974.
One of the first low-cost
calculators was the Sinclair
Cambridge, launched in August 1973. It retailed for £29.95, or
some £5 less in kit form. The Sinclair calculators were successful
because they were far cheaper than the competition; however, their
design was flawed and their accuracy in some functions was
questionable. The scientific programmable models were particularly
poor in this respect, with the programmability coming at a heavy
price in transcendental
accuracy.
Meanwhile Hewlett
Packard (HP) had been developing its own pocket calculator.
Launched in early 1972 it was unlike the other basic four-function
pocket calculators then available in that it was the first pocket
calculator with scientific functions that could replace a slide rule.
The $395 HP-35, along with all
later HP engineering calculators, used reverse
Polish notation (RPN), also called postfix notation. A
calculation like "8 plus 5" is, using RPN, performed by pressing
"8", "Enter↑", "5", and "+"; instead of the algebraic infix
notation: "8", "+", "5", "=").
The first Soviet scientific
pocket-sized calculator the "B3-18" was completed by the end of
1975.
In 1973, Texas
Instruments(TI) introduced the SR-10, (SR signifying
slide
rule) an algebraic entry pocket calculator for $150. It was
followed the next year by the SR-50 which added log
and trig functions to compete with the HP-35, and in 1977 the
mass-marketed TI-30 line which is
still produced.
The first programmable pocket
calculator was the HP-65, in 1974; it
had a capacity of 100 instructions, and could store and retrieve
programs with a built-in magnetic card reader. A year later the
HP-25C
introduced continuous memory, i.e. programs and data were retained
in CMOS memory
during power-off. In 1979, HP released the first alphanumeric, programmable,
expandable calculator, the HP-41C. It could be
expanded with RAM
(memory) and ROM
(software) modules, as well as peripherals like bar code
readers, microcassette and floppy disk
drives, paper-roll thermal
printers, and miscellaneous communication interfaces (RS-232, HP-IL, HP-IB).
The first Soviet programmable
calculator Elektronika
"B3-21" was
developed by the end of 1977 and sold at the beginning of 1978. The
successor of B3-21, the Elektronika
B3-34 wasn't backward compatible with B3-21, even if it kept
the reverse
Polish notation (RPN). Thus B3-34 defined a new command set,
which later was used in all programmable soviet calculators. There
are hundreds of developed programs for science, business and even
games for these machines. The Elektronika
MK-52 calculator (using the extended B3-34 command set, and
featuring internal EEPROM memory for
storing programs and external interface for EEPROM cards and other
periphery) was used in soviet spacecraft program (for Soyuz TM-7
flight) as a backup of the board computer.
Mechanical calculators
continued to be sold, though in rapidly decreasing numbers, into
the early 1970s, with many of the manufacturers closing down or
being taken over. Comptometer
type calculators were often retained for much longer to be used for
adding and listing duties, especially in accounting, since a
trained and skilled operator could enter all the digits of a number
in one movement of the hands on a Comptometer
quicker than was possible serially with a 10-key electronic
calculator. The spread of the computer rather than the simple
electronic calculator put an end to the Comptometer.
Also, by the end of the 1970s, the slide rule had
become obsolete.
Technical improvements
Through the 1970s the hand-held electronic calculator underwent rapid development. The red LED and blue/green vacuum-fluorescent displays consumed a lot of power and the calculators either had a short battery life (often measured in hours, so rechargeable Nickel-Cadmium batteries were common) or were large so that they could take larger, higher capacity batteries. In the early 1970s Liquid crystal displays (LCDs) were in their infancy and there was a great deal of concern that they only had a short operating lifetime. Busicom introduced the Busicom LE-120A "HANDY" calculator, the first pocket-sized calculator and the first with an LED display, and announced the Busicom LC with LCD display. However, there were problems with this display and the calculator never went on sale. The first successful calculators with LCDs were manufactured by Rockwell International and sold from 1972 by other companies under such names as: Dataking LC-800, Harden DT/12, Ibico 086, Lloyds 40, Lloyds 100, Prismatic 500 (aka P500), Rapid Data Rapidman 1208LC. The LCDs were an early form with the numbers appearing as silver against a dark background. To present a high-contrast display these models illuminated the LCD using a filament lamp and solid plastic light guide, which negated the low power consumption of the display. These models appear to have been sold only for a year or two.A more successful series of
calculators using the reflective LCD display was launched in 1972
by Sharp
Inc with the Sharp EL-805, which was a slim pocket calculator.
This, and another few similar models, used Sharp's "COS" (Crystal
on Substrate) technology. This used a glass-like circuit board
which was also an integral part of the LCD. In operation the
user looked through this "circuit board" at the numbers being
displayed. The "COS" technology may have been too expensive since
it was only used in a few models before Sharp reverted to
conventional circuit boards, though all the models with the
reflective LCD
displays are often referred to as "COS".
In the mid-1970s the first
calculators appeared with the now "normal" LCDs with dark numerals
against a grey background, though the early ones often had a yellow
filter over them to cut out damaging UV rays. The big
advantage of the LCD is that it is
passive and reflects light, which requires much less power than
generating light. This led the way to the first credit-card-sized
calculators, such as the Casio Mini Card LC-78
of 1978, which could run for months of normal use on a couple of
button cells.
There were also improvements
to the electronics inside the calculators. All of the logic
functions of a calculator had been squeezed into the first
"Calculator on a chip" integrated
circuits in 1971, but this was leading edge technology of the
time and yields were low and costs were high. Many calculators
continued to use two or more integrated
circuits (ICs), especially the scientific and the programmable
ones, into the late 1970s.
The power consumption of the
integrated circuits was also reduced, especially with the
introduction of CMOS technology.
Appearing in the Sharp "EL-801" in 1972, the transistors in the logic
cells of CMOS
ICs only used any apreciable power when they changed state. The
LED and
VFD displays
had often required additional driver transistors or ICs, whereas the
LCD displays
were more amenable to being driven directly by the calculator
IC
itself.
With this low power
consumption came the possibility of using solar cells
as the power source, realised around 1978 by such calculators as
the Royal Solar 1, Sharp EL-8026, and Teal Photon.
A pocket calculator for everyone
At the beginning of the 1970s hand-held electronic calculators were very expensive, costing two or three weeks' wages, and so were a luxury item. The high price was due to their construction requiring many mechanical and electronic components which were expensive to produce, and production runs were not very large. Many companies saw that there were good profits to be made in the calculator business with the margin on these high prices. However, the cost of calculators fell as components and their production techniques improved, and the effect of economies of scale were felt.By 1976 the cost of the
cheapest 4-function pocket calculator had dropped to a few dollars,
about one twentieth of the cost five years earlier. The
consequences of this were that the pocket calculator was
affordable, and that it was now difficult for the manufacturers to
make a profit out of calculators, leading to many companies
dropping out of the business or closing down altogether. The
companies that survived making calculators tended to be those with
high outputs of higher quality calculators, or producing
high-specification scientific and programmable
calculators.
Mid-1980s to present
The first calculator capable of symbolic computation was the HP-28, released in 1987. It was able to, for example, solve quadratic equations symbolically. The first graphing calculator was the Casio fx7000G released in 1985.The two leading manufacturers,
HP and TI, released increasingly feature-laden calculators during
the 1980s and 1990s. At the turn of the millennium, the line
between a graphing calculator and a handheld
computer was not always clear, as some very advanced
calculators such as the TI-89, the Voyage 200
and HP-49G
could differentiate
and integrate functions,
solve differential
equations, run word
processing and
PIM software, and connect by wire or IR to other
calculators/computers.
The HP 12c financial
calculator is still produced. It was introduced in 1981 and is
still being made with few changes. The HP 12c featured the reverse
Polish notation mode of data entry. In 2003 several new models
were released, including an improved version of the HP 12c, the "HP
12c platinum edition" which added more memory, more built-in
functions, and the addition of the algebraic mode of data
entry.
Online calculators are
programs designed to work just like a normal calculator does.
Usually the keyboard (or the mouse clicking a virtual numpad) is
used, but other means of input (e.g. slide bars) are
possible.
Thanks to the Internet, many
new types of calculators are possible for calculations that would
otherwise be much more difficult or impossible, such as for real
time currency exchange rates, loan rates and
statistics.
See also
- :Category:Calculators
- :Category:Programmable calculators
- History of computing hardware
- Beghilos
- Formula calculator
- Abacus
- Napier's bones
- Comptometer
- Mercedes (calculator)
- Adding machine
- Addiator
- Curta
- Slide rule
- Difference Engine
- El Justos calculator
- Volvelle
- Sumlock ANITA calculator
- Machinist calculator
- Scientific calculator
- Programmable calculators
- Texas Instruments calculators
- HP calculators
- Nintendo DS as calculator
References
Patents
- – Complex computer – G. R. Stibitz, Bell Laboratories, 1954 (filed 1941, refiled 1944), electromechanical (relay) device that could calculate complex numbers, record, and print results by teletype
- – Miniature electronic calculator – J. S. Kilby,
Texas
Instruments, 1974 (originally filed 1967), handheld (3 lb, 1.4
kg) battery operated electronic device with thermal printer
- The Japanese Patent Office granted a patent in June 1978 to Texas Instruments (TI) based on US patent 3819921, notwithstanding objections from 12 Japanese calculator manufacturers. This gave TI the right to claim royalties retroactively to the original publication of the Japanese patent application in August 1974. A TI spokesman said that it would actively seek what was due, either in cash or technology cross-licensing agreements. Nineteen other countries, including the United Kingdom, had already granted a similar patent to Texas Instruments. – New Scientist, 17 Aug. 1978 p455, and Practical Electronics (British publication), October 1978 p1094.
- – Floating Point Calculator With RAM Shift Register - 1977 (originally filed GB Mar 1971, US Jul 1971), very early single chip calculator claim.
- – Extended Numerical Keyboard with Structured Data-Entry Capability – J. H. Redin, 1997 (originally filed 1996), Usage of Verbal Numerals as a way to enter a number.
External links
- History of the LED calculator wristwatch
- On TI's US Patent No. 3819921 – From TI's own website
- 30th Anniversary of the Calculator – From Sharp's web presentation of its history; including a picture of the CS-10A desktop calculator
- The Old Calculator Web Museum - Documents the technology of desktop calculators, mainly early electronics
- Calculator museum
- Cold War Calculators Calculators for military and civil defence use.
- Calculators for computers Hexadecimal calculators.
- Museum of Soviet calculators
- Soviet calculators collection
- History of Japanese mechanical calculating machines
- Vintage Calculators Web Museum - Shows the development from mechanical calculators to pocket electronic calculators
- The Museum of HP calculators (slide rules/mech. section)
- MyCalcDB - Database for 1970s and 1980s calculators
- Microprocessor and single chip calculator history; foundations in Glenrothes, Scotland
- HP-35 - A thorough analysis of the HP-35 firmware including the Cordic algorithms and the bugs in the early ROM
- Bell Punch Company and the development of the Anita calculator - The story of the first electronic desktop calculator
- Dentaku Museum - Historical Japanese electronic calculators (select "English" for an English translation by computer)
- Martindale's collection of calculators
- Math.com Calculators
- Online calculators listed at Open Directory - A list of links to online calculators provided by the Open Directory project
- online javascript calculator - supports complex numbers, user defined variables and functions
calculator in Bulgarian:
Калкулатор
calculator in Catalan:
Calculadora
calculator in Czech:
Kalkulačka
calculator in Danish:
Lommeregner
calculator in German:
Taschenrechner
calculator in Modern Greek
(1453-): Αριθμομηχανή
calculator in Esperanto:
Kalkulilo
calculator in Spanish:
Calculadora
calculator in Estonian:
Kalkulaator
calculator in Basque:
Kalkulagailu
calculator in Persian: ماشین
حساب
calculator in Finnish:
Laskin
calculator in French:
Calculatrice
calculator in Scottish
Gaelic: Àireamhair
calculator in Hebrew:
מחשבון
calculator in Hindi:
कैलकुलेटर
calculator in Hungarian:
Számológép
calculator in Indonesian:
Kalkulator
calculator in Ido:
Kalkulilo
calculator in Italian:
Calcolatrice
calculator in Croatian:
Kalkulator
calculator in Japanese:
電卓
calculator in Latin:
Computatrum
calculator in Latvian:
Kalkulators
calculator in Dutch:
Rekenmachine
calculator in Norwegian
Nynorsk: Kalkulator
calculator in Norwegian:
Kalkulator
calculator in Polish:
Kalkulator
calculator in Portuguese:
Calculadora
calculator in Romanian:
Calculator
calculator in Russian:
Калькулятор
calculator in Simple English:
Calculator
calculator in Slovak:
Kalkulačka
calculator in Slovenian:
Računalo
calculator in Serbian:
Калкулатор
calculator in Swedish:
Miniräknare
calculator in Thai:
เครื่องคิดเลข
calculator in Ukrainian:
Калькулятор
calculator in Chinese:
计算器
calculator in Contenese:
計數機
Synonyms, Antonyms and Related Words
CA, CPA, Comptometer, abacist, abacus, accountant, accountant
general, actuary,
adding, adding machine,
analog computer, arithmograph, arithmometer, auditor, bank accountant, bank
examiner, bookkeeper,
calculating machine, cash register, certified public accountant,
chartered accountant, clerk, comptroller, computation, computer, controller, cost accountant,
cost keeper, counter,
difference engine, digital computer, electronic computer, estimator, figurer, intriguer, journalizer, listing
machine, machinator,
maneuverer, manipulator, pari-mutuel
machine, quipu, reckoner, recorder, registrar, rule, schemer, slide rule, sliding
scale, statistician, strategist, suan pan,
tabulator, tactician,
wire-puller