Abstract:The paper presents an original methodology for the implementation of the Logarithmic Number System (LNS) arithmetic, which uses Reduced Instruction Set Computing (RISC). The core of the proposed method is a newly developed algorithm for conversion between LNS and the floating point (FLP) representations named “looping in sectors”, which brings about reduced memory consumption without a loss of accuracy. The resulting effective RISC conversions use only elementary computer operations without the need to employ … Show more
“…Drahos et al [16] present a method for a conversion between the Logarithmic Number System (LNS) and floating point (FLP) representations using Reduced Instruction Set Computing (RISC). After giving an overview on FLP and LNS number representations, two algorithms of the RISC conversion between both systems using the 'looping in sectors' procedure are presented.…”
Discrete optimization is an important area of applied mathematics which is at the intersection of several disciplines and covers both theoretical and practical aspects [...]
“…Drahos et al [16] present a method for a conversion between the Logarithmic Number System (LNS) and floating point (FLP) representations using Reduced Instruction Set Computing (RISC). After giving an overview on FLP and LNS number representations, two algorithms of the RISC conversion between both systems using the 'looping in sectors' procedure are presented.…”
Discrete optimization is an important area of applied mathematics which is at the intersection of several disciplines and covers both theoretical and practical aspects [...]
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