On-line Digit Set Conversion for Rational Digit Number

  • Pipop Thienprapasith Chulalongkorn University
  • Athasit Surarerks Chulalongkorn University

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Abstract

A number system that is well-designed can affect the computational time and the hardware implementation. An interesting number system called Round-to-Nearest coding (RN-coding) was proposed to reduce a time consuming in a rounding process. Rounding to the nearest in RN-coding can be done using only truncation at any positions in a sequence of digits (representation). This concept can save a lot of time in a parallel or pipeline computation manner. However, an RN-coding does not support an on-line arithmetic computation. In this paper, we propose a rational digit number system which is composed of rational signed-digits in the digit set. This new system preserves a round-to-nearest property and is suitable for an on-line arithmetic computation. Performing on-line elementary arithmetic operations in our system can be done by an on-line digit set conversion algorithm. We show that our new algorithm, which is an improvement of an on-line addition algorithm in our previous work, can be demonstrated by an on-line finite automaton with a finite on-line delay k.

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Author Biographies
Pipop Thienprapasith

ELITE Laboratory, Department of Computer Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand

Athasit Surarerks

ELITE Laboratory, Department of Computer Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand

Published
Vol 21 No 7, Dec 29, 2017
How to Cite
P. Thienprapasith and A. Surarerks, “On-line Digit Set Conversion for Rational Digit Number”, Eng. J., vol. 21, no. 7, pp. 251-261, Dec. 2017.

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