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Erschienen in:
2011 | OriginalPaper | Buchkapitel
An Improved DNA-Sticker Addition Algorithm and Its Application to Logarithmic Arithmetic
verfasst von : Mark G. Arnold
Erschienen in: DNA Computing and Molecular Programming
Verlag: Springer Berlin Heidelberg
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The sticker model of computation, implemented using robotic processing of DNA, manipulates in parallel many bitstrings, called strands, that are contained in a limited number of tubes. Prior sticker-addition algorithms are patterned on digital-electronic full-adders that generate carry bits, each of which must be saved in the strand, which involves wasting the strand or using a clear operation (whose biochemical implementation may be problematic). This paper proposes a new sticker-addition algorithm which does not need to record the carry bits. Instead, which tube holds a particular strand implicitly describes whether or not a carry is required. The speed and number of tubes needed are about half that needed by the prior approach. An example is given for real-valued Euclidian norms using the Logarithmic Number System.