2015
DOI: 10.1049/iet-cdt.2013.0133
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Truncated ternary multipliers

Abstract: Balanced ternary number representation and arithmetic, based on the symmetric radix-3 digit set {−1, 0, +1}, has been studied at various times in the history of computing. Among established advantages of balanced ternary arithmetic are representational symmetry, favourable error characteristics and rounding by truncation. In this study, we show an additional advantage: that of lower-error truncated multiplication with the same relative cost reduction as in truncated binary multipliers.

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Cited by 8 publications
(3 citation statements)
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References 34 publications
(31 reference statements)
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“…Radices other than two, eight, ten, and sixteen were mostly ignored earlier [12]. However, radices three and four are used to implement multivalued logic (MVL), which improves the data transmission capability and computational speed [13].…”
Section: • Multi Walled Cntsmentioning
confidence: 99%
“…Radices other than two, eight, ten, and sixteen were mostly ignored earlier [12]. However, radices three and four are used to implement multivalued logic (MVL), which improves the data transmission capability and computational speed [13].…”
Section: • Multi Walled Cntsmentioning
confidence: 99%
“…Balanced ternary system [18,19] consists of a base = 3 and a digit set = {1 ̅ , 0, 1} is an example of the system that has this property. In 2005, Kornerup and Muller [7] introduced a generalization of round-to-nearest number system called RNcoding which was defined in definition 4.…”
Section: Round-to-nearest Number Systemmentioning
confidence: 99%
“…Base 2 is suitable for computational structures due to the effortless and reliable binary devices, thus that base dominates the computer industry [2][3][4][5][6]. Difficulties and limitations of efficient computational structures designs for base 3 prevented researchers to pursue this technology [7]. During the last decade, the advent and the discovery of emerging technologies have brought new opportunities for the maturation of ternary valued logic in the semiconductor industry [8][9][10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%