FloatingPointRepresentation

Multiplication of double precision or extended

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Unformatted text preview: ion or extended precision signi cands is not so straightforward, however, since dropping bits may, as in addition, lead to incorrectly rounded results. The actual multiplication and division implementation may or may not use the standard \long multiplication" and \long division" algorithms which we learned in school. One alternative for division will be mentioned in a later section. Multiplication and division are much more complicated operations than addition and subtraction, and consequently they may require more execution time on the computer this is the case for PC's. However, this is not necessarily true on faster supercomputers since it is possible, by using enough space on the chip, to design the microcode for the instructions so that they are all equally fast. Exercise 16 Assume that x and y are normalized numbers, i.e. 1 m < 2, 1 p < 2. How many bits may it be necessary to shift the signi cand product m p left or right to normalize the result? 4 Exceptional Situations One of the most di cult things about programming is the need to anticipate exceptional situations. In as much as it...
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This note was uploaded on 02/12/2014 for the course MATH 4800 taught by Professor Lie during the Spring '09 term at Rensselaer Polytechnic Institute.

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