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Issue No.07 - July (2000 vol.49)
pp: 702-715
ABSTRACT
<p><b>Abstract</b>—A new European research project aims to develop a microprocessor based on the logarithmic number system, in which a real number is represented as a fixed-point logarithm. Multiplication and division therefore proceed in minimal time with no rounding error. However, the system can only offer an overall advantage over floating-point if addition and subtraction can be performed with speed and accuracy at least equal to that of floating-point, but these operations require the interpolation of a nonlinear function which has hitherto been either time-consuming or inaccurate. We present a procedure by which additions and subtractions can be performed rapidly and accurately and show that these operations are thereby competitive with their floating-point equivalents. We then present some large-scale case studies which show that the average performance of the LNS exceeds floating-point, in terms of both speed and accuracy.</p>
INDEX TERMS
Digital arithmetic, logarithmic number system, interpolation.
CITATION
J.n. Coleman, E.i. Chester, C.i. Softley, J. Kadlec, "Arithmetic on the European Logarithmic Microprocessor", IEEE Transactions on Computers, vol.49, no. 7, pp. 702-715, July 2000, doi:10.1109/12.863040
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