
Accession Number : AD0651201
Title : FLOATINGPOINT NUMBER REPRESENTATIONS: BASE CHOICE VERSUS EXPONENT RANGE.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE
Personal Author(s) : Richman,Paul
Report Date : 28 APR 1967
Pagination or Media Count : 38
Abstract : A digital computer whose memory words are composed of rstate devices is considered. The choice of the base, beta, for the internal floatingpoint numbers on such a computer is discussed. Larger values of beta necessitate the use of more rstate devices for the mantissa, in order to preserve some 'minimum accuracy,' leaving fewer rstate devices for the exponent of beta. As beta increases, the exponent range may increase for a short period, but it must ultimately decrease to zero. Of course, this behavior depends on what definition of accuracy is used. This behavior is analyzed for a recently proposed definition of accuracy which specifies when it is to be said that the set of qdigit base beta floatingpoint numbers is accurate to pdigits base t. The only case of practical importance today is t = 10 and r = 2; and in this case beta = 2 is always best. However, the analysis is done to cover all cases. (Author)
Descriptors : (*DIGITAL COMPUTERS, *MEMORY DEVICES), ACCURACY, NUMBERS, SET THEORY, DATA STORAGE SYSTEMS
Subject Categories : Computer Hardware
Distribution Statement : APPROVED FOR PUBLIC RELEASE