Titlebook: Handbook of Floating-Point Arithmetic; Jean-Michel Muller,Nicolas Brunie,Serge Torres Book 2018Latest edition Springer International Publi

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Hardware Implementation of Floating-Point Arithmeticer, obtaining the correct rounding of the result may require considerable design effort and the use of nonarithmetic primitives such as leading-zero counters and shifters. This chapter details the implementation of these algorithms in hardware, using digital logic.

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Interval Arithmetic more or less efforts to obtain them. This is a historical reason for introducing interval arithmetic, as stated in the preface of R. Moore’s PhD dissertation [427]: “.” and discretization and truncation errors.

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978-3-030-09513-0Springer International Publishing AG, part of Springer Nature 2018

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https://doi.org/10.1007/978-3-658-18846-7A., roughly speaking, a radix-. floating-point number . is a number of the form . where . is the . of the floating-point system, . such that | . | < . is the . of ., and . is its ..

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Software Implementation of Floating-Point ArithmeticT. has presented the basic paradigms used for implementing floating-point arithmetic in hardware. However, some processors may not have such dedicated hardware, mainly for cost reasons. When it is necessary to handle floating-point numbers on such processors, one solution is to implement floating-point arithmetic in software.