Hardware Implementation of Floating-Point Arithmetic
Jean‐Michel Muller, Nicolas Brisebarre, Florent de Dinechin, Claude-Pierre Jeannerod, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol, Damien Stehlé, Serge Torres · Birkhäuser Boston eBooks · 2009
T he previous chapter has shown that operations on floating-point numbers are naturally expressed in terms of integer or fixed-point operations on the significand and the exponent. For instance, to obtain the product of two floating-point numbers, one basically multiplies the significands and adds the exponents. However, 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. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.