An Alternative Approach to Rounding Issues in Precision Computing with Accumulators, with Less Memory Consumption: a Proposal for Vectorizing a Branched Instruction Set

EasyChair Preprint no. 7323

Abstract

Recent developments in numerical formatting have introduced a new system and a new emphasis on the use of accumulators for numerical computation. There also has been a recent development in this Posits numerical system, designed by John Gustafson, utilizing logarithmic bases. Here an alternative in light of these new developments is presented in a way to incorporate a design feature of Gustafson's format which negates the need for fractional bits in his system. One possible application for implementation of the formatting is also mentioned, which enhances the usage of instruction level parallelism in the arithmetic circuit design.

Keyphrases: computer memory allocation, Numerical Formatting, precision computing

@Booklet{EasyChair:7323,
  author = {Roy Gulla},
  title = {An Alternative Approach to Rounding Issues in Precision Computing with Accumulators, with Less Memory Consumption: a Proposal for Vectorizing a Branched Instruction Set},
  howpublished = {EasyChair Preprint no. 7323},

  year = {EasyChair, 2022}}