hardware floating-point arithmetic

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• Floating point — In computing, floating point describes a method of representing real numbers in a way that can support a wide range of values. Numbers are, in general, represented approximately to a fixed number of significant digits and scaled using an exponent …   Wikipedia

• Floating-point unit — An Intel 80287 A floating point unit (FPU, colloquially a math coprocessor) is a part of a computer system specially designed to carry out operations on floating point numbers. Typical operations are addition, subtraction, multiplication,… …   Wikipedia

• Floating point unit — A floating point unit (FPU) is a part of a computer system specially designed to carry out operations on floating point numbers. Typical operations are addition, subtraction, multiplication, division, and square root. Some systems (particularly… …   Wikipedia

• Decimal floating point — Floating point precisions IEEE 754: 16 bit: Half (binary16) 32 bit: Single (binary32), decimal32 64 bit: Double (binary64), decimal64 128 bit: Quadruple (binary128), decimal128 Other: Minifloat · Extended precision Arbitrary precision… …   Wikipedia

• Quadruple-precision floating-point format — In computing, quadruple precision (also commonly shortened to quad precision) is a binary floating point computer number format that occupies 16 bytes (128 bits) in computer memory. In IEEE 754 2008 the 128 bit base 2 format is officially… …   Wikipedia

• Fixed-point arithmetic — In computing, a fixed point number representation is a real data type for a number that has a fixed number of digits after (and sometimes also before) the radix point ( e.g. , after the decimal point . in English decimal notation). Fixed point… …   Wikipedia

• Arithmetic underflow — (or floating point underflow , floating underflow , underflow ) is a condition that can occur when the result of a floating point operation would be smaller in magnitude (closer to zero, either positive or negative) than the smallest quantity… …   Wikipedia

• Arithmetic overflow — The term arithmetic overflow or simply overflow has the following meanings. In a computer, the condition that occurs when a calculation produces a result that is greater in magnitude than that which a given register or storage location can store… …   Wikipedia

• Arbitrary-precision arithmetic — In computer science, arbitrary precision arithmetic indicates that calculations are performed on numbers whose digits of precision are limited only by the available memory of the host system. This contrasts with the faster fixed precision… …   Wikipedia

• Interval arithmetic — Interval arithmetic, also called interval mathematics , interval analysis , and interval computation , is a method in mathematics. It has been developed by mathematicians since the 1950s and 1960s as an approach to putting bounds on rounding… …   Wikipedia

• History of computing hardware — Computing hardware is a platform for information processing (block diagram) The history of computing hardware is the record of the ongoing effort to make computer hardware faster, cheaper, and capable of storing more data. Computing hardware… …   Wikipedia