A scientific calculator is an
electronic calculator
An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics.
The first solid-state electronic calculator was created in the early 1960s. Pocket-size ...
, either desktop or handheld, designed to perform mathematical operations. They have completely replaced
slide rule
The slide rule is a mechanical analog computer which is used primarily for multiplication and division, and for functions such as exponents, roots, logarithms, and trigonometry. It is not typically designed for addition or subtraction, which is ...
s and are used in both educational and professional settings.
In some areas of study scientific calculators have been replaced by
graphing calculator
A graphing calculator (also graphics calculator or graphic display calculator) is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables. Most popular graphing calcu ...
s and
financial calculators which have the capabilities of a scientific calculator along with the capability to graph input data.
Functions
When scientific calculators were originally marketed they normally had only four of five capabilities (addition, subtraction, multiplication, division and square root). Modern scientific calculators generally have many more capabilities than the original four or five function calculator, and the capabilities differ between manufacturers and models.
The capabilities of a modern scientific calculator include:
*
scientific notation
Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, o ...
*
floating-point decimal arithmetic
*
logarithm
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number to the base is the exponent to which must be raised, to produce . For example, since , the ''logarithm base'' 10 of ...
ic functions, using both base 10 and
base e
*
trigonometric functions (some including
hyperbolic trigonometry)
*
exponent
Exponentiation is a mathematical operation, written as , involving two numbers, the '' base'' and the ''exponent'' or ''power'' , and pronounced as " (raised) to the (power of) ". When is a positive integer, exponentiation corresponds to re ...
ial functions and
root
In vascular plants, the roots are the organs of a plant that are modified to provide anchorage for the plant and take in water and nutrients into the plant body, which allows plants to grow taller and faster. They are most often below the sur ...
s beyond the
square root
In mathematics, a square root of a number is a number such that ; in other words, a number whose ''square'' (the result of multiplying the number by itself, or ⋅ ) is . For example, 4 and −4 are square roots of 16, because .
...
* quick access to constants such as
pi and
e
In addition, high-end scientific calculators generally include:
* cursor controls to edit equations and view previous calculations (some calculators such as the ''LCD-8310'',
badge engineered
In the automotive industry, rebadging is a form of market segmentation used by automobile manufacturers around the world. To allow for product differentiation without designing or engineering a new model or brand (at high cost or risk), a man ...
under both ''
Olympia'' and ''
United Office'' keep the number of the previous result on-screen for convenience while the new calculation is being entered.)
*
hexadecimal
In mathematics and computing, the hexadecimal (also base-16 or simply hex) numeral system is a positional numeral system that represents numbers using a radix (base) of 16. Unlike the decimal system representing numbers using 10 symbols, h ...
,
binary, and
octal
The octal numeral system, or oct for short, is the radix, base-8 number system, and uses the Numerical digit, digits 0 to 7. This is to say that 10octal represents eight and 100octal represents sixty-four. However, English, like most languages, ...
calculations, including basic
Boolean
Any kind of logic, function, expression, or theory based on the work of George Boole is considered Boolean.
Related to this, "Boolean" may refer to:
* Boolean data type, a form of data with only two possible values (usually "true" and "false" ...
mathematics
*
complex number
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the for ...
s
*
fractions calculations
*
statistics and
probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and ...
calculations
* programmability — see
Programmable calculator
Programmable calculators are calculators that can automatically carry out a sequence of operations under control of a stored program. Most are Turing complete, and, as such, are theoretically general-purpose computers. However, their user inte ...
* equation solving
*
matrix calculations
*
calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizati ...
*
letters that can be used for spelling words or including
variables into an equation
*
conversion of units
*
physical constants
While most scientific calculators have traditionally used a single-line display similar to traditional pocket calculators, many of them have more digits (10 to 12), sometimes with extra digits for the floating-point exponent. A few have multi-line displays, with some models from
Hewlett-Packard,
Texas Instruments
Texas Instruments Incorporated (TI) is an American technology company headquartered in Dallas, Texas, that designs and manufactures semiconductors and various integrated circuits, which it sells to electronics designers and manufacturers globa ...
(both US manufacturers),
Casio,
Sharp, and
Canon (all three Japanese makers) using
dot matrix displays similar to those found on
graphing calculator
A graphing calculator (also graphics calculator or graphic display calculator) is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables. Most popular graphing calcu ...
s.
Uses
Scientific calculators are used widely in situations that require quick access to certain mathematical functions, especially those that were once looked up in mathematical tables, such as trigonometric functions or logarithms. They are also used for calculations of very large or very small numbers, as in some aspects of
astronomy
Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...
,
physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which rel ...
, and
chemistry.
They are very often required for math classes from the junior high school level through college, and are generally either permitted or required on many
standardized test
A standardized test is a test that is administered and scored in a consistent, or "standard", manner. Standardized tests are designed in such a way that the questions and interpretations are consistent and are administered and scored in a predete ...
s covering math and science subjects; as a result, many are sold into educational markets to cover this demand, and some high-end models include features making it easier to translate a problem on a textbook page into calculator input, e.g. by providing a method to enter an entire problem in as it is written on the page using simple formatting tools.
History
The first scientific calculator that included all of the basic ideas above was the programmable Hewlett-Packard
HP-9100A, released in 1968, though the
Wang
Wang may refer to:
Names
* Wang (surname) (王), a common Chinese surname
* Wāng (汪), a less common Chinese surname
* Titles in Chinese nobility
* A title in Korean nobility
* A title in Mongolian nobility
Places
* Wang River in Thai ...
LOCI-2 and the Mathatronics Mathatron had some features later identified with scientific calculator designs. The HP-9100 series was built entirely from discrete
transistor
upright=1.4, gate (G), body (B), source (S) and drain (D) terminals. The gate is separated from the body by an insulating layer (pink).
A transistor is a semiconductor device used to Electronic amplifier, amplify or electronic switch, switch ...
logic with no
integrated circuits, and was one of the first uses of the
CORDIC algorithm for trigonometric computation in a personal computing device, as well as the first calculator based on
reverse Polish notation
Reverse Polish notation (RPN), also known as reverse Łukasiewicz notation, Polish postfix notation or simply postfix notation, is a mathematical notation in which operators ''follow'' their operands, in contrast to Polish notation (PN), in whi ...
(RPN) entry. HP became closely identified with RPN calculators from then on, and even today some of their high-end calculators (particularly the long-lived
HP-12C financial calculator and the
HP-48 series of graphing calculators) still offer RPN as their default input mode due to having garnered a very large following.
The
HP-35, introduced on February 1, 1972, was Hewlett-Packard's first
pocket calculator and the world's first handheld scientific calculator. Like some of HP's desktop calculators it used RPN. Introduced at US$395, the HP-35 was available from 1972 to 1975.
Texas Instruments (TI), after the production of several units with scientific notation, introduced a handheld scientific calculator on January 15, 1974, in the form of the
SR-50. TI continues to be a major player in the calculator market, with their long-running
TI-30 series being one of the most widely used scientific calculators in classrooms.
Casio, Canon, and Sharp have also been major players, with Casio's fx series (beginning with the Casio fx-1 in 1972
Casio FX-1 Desktop Scientific Calculator
/ref>) being a very common brand, used particularly in schools. Casio is also a major player in the graphing calculator market, and was the first company to produce one (Casio fx-7000G
The Casio FX-7000G is a calculator which is widely known as being the world's first graphing calculator available to the public. It was introduced to the public and later manufactured between 1985 and c. 1988. Notable features are its ability to ...
).
See also
* Formula calculator
* Calculator input methods
* Software calculators
Software is a set of computer programs and associated documentation and data. This is in contrast to hardware, from which the system is built and which actually performs the work.
At the lowest programming level, executable code consists o ...
References
{{Computer sizes
Calculators
Office equipment