digits of precision are potentially limited only by the available memory of the host system. This contrasts with the faster fixed-precision arithmetic found...

Fixed-precision arithmetic, also referred to as finite-precision arithmetic, is arithmetic on numbers that are represented in a fixed number of digits...

Arbitrary Precision Numbers JTC1/SC22/WG14 (2008), status of TR 18037: Embedded C GCC wiki, Fixed-Point Arithmetic Support Using GCC, section 5.13 Fixed-Point...

computing, floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a significand (a signed sequence of a fixed number of digits in...

In computing, an arithmetic logic unit (ALU) is a combinational digital circuit that performs arithmetic and bitwise operations on integer binary numbers...

Accuracy is a weighted arithmetic mean of Precision and Inverse Precision (weighted by Bias) as well as a weighted arithmetic mean of Recall and Inverse...

represent a wider range of numbers than a fixed-point variable of the same bit width at the cost of precision. A signed 32-bit integer variable has a maximum...

includes: Fixed-point arithmetic Floating-point arithmetic Interval arithmetic Arbitrary-precision arithmetic Modular arithmetic Multi-modular arithmetic p-adic...

support arbitrary-precision arithmetic. Software that supports arbitrary precision computations: bc the POSIX arbitrary-precision arithmetic language that...

the storage at the expense of some precision. Mesh quantization can also be done with 8-bit or 16-bit fixed precision depending on the requirements. Hardware...

the value of extra-precise arithmetic and the price of implementing it to run fast; very soon two more bytes of precision will become tolerable, and ultimately...

computers did not have full 60-bit adders, so integer arithmetic was limited to 48 bits of precision from the floating-point unit. Exception processing from...

Arithmetic coding (AC) is a form of entropy encoding used in lossless data compression. Normally, a string of characters is represented using a fixed...

copying the ideas from the ANSI/IEEE-754 standard for fixed-precision floating-point arithmetic (correct rounding and exceptions, in particular). More...

than fixed-length format floating-point instructions. When high performance is not a requirement, but high precision is, variable length arithmetic can...

computations – especially when dividing two numbers in integer or fixed-point arithmetic; when computing mathematical functions such as square roots, logarithms...

property makes the system simpler to implement, especially for higher-precision arithmetic. Additionally, unlike ones' complement systems, two's complement...

registers. Though the vast majority of computers can perform multiple-precision arithmetic on operands in memory, allowing numbers to be arbitrarily long and...

was used as early as 1970 as well. Note that besides integer (or fixed-point) arithmetics, examples of integer operation include data movement (A to B) or...

Saturation arithmetic is a version of arithmetic in which all operations, such as addition and multiplication, are limited to a fixed range between a minimum...

calculated to any desired precision. Rational number are used, for example, in Interpress from Xerox Corporation. A fixed-point data type uses the same...

(the specific arithmetic spiral of Archimedes). It is the locus corresponding to the locations over time of a point moving away from a fixed point with a...

mathematics, modular arithmetic is a system of arithmetic operations for integers, other than the usual ones from elementary arithmetic, where numbers "wrap...

moveable boundary between exponent and significand, sacrificing precision only when a larger range is needed (sometimes called tapered arithmetic) […]...

properties of IEEE 754 floating point numbers Fixed-point arithmetic Precision: The number of decimal digits precision is calculated via number_of_mantissa_bits...

stable) summation method by a fixed algorithm in fixed precision (i.e. not those that use arbitrary-precision arithmetic, nor algorithms whose memory and...

stable) summation method by a fixed algorithm in fixed precision (i.e. not those that use arbitrary-precision arithmetic, nor algorithms whose memory and...

higher precisions than the input samples. Digital signal processing (DSP) operations can be performed in either fixed-point or floating-point precision. In...

given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic. Rounding errors are due...

use arbitrary-precision arithmetic, for which the precision of calculations is only restricted by the computer's memory. Forms of arithmetic can also be...