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Ternary DNA computing using 3 × 3 multiplication matrices.


ABSTRACT: Non-Boolean computations implementing operations on multi-valued variables beyond base 2 allow enhanced computational complexity. We introduce DNA as a functional material for ternary computing, and in particular demonstrate the use of three-valued oligonucleotide inputs to construct a 3 × 3 multiplication table. The system consists of two three-valued inputs of -1; 0; +1 and a fluorophore/quencher functional hairpin acting as computational and reporter module. The interaction of the computational hairpin module with the different values of the inputs yields a 3 × 3 multiplication matrix consisting of nine nanostructures that are read out by three distinct fluorescence intensities. By combining three different hairpin computational modules, each modified with a different fluorophore/quencher pair, and using different sets of inputs, the parallel operation of three multiplication tables is demonstrated.

SUBMITTER: Orbach R 

PROVIDER: S-EPMC5811156 | biostudies-literature | 2015 Feb

REPOSITORIES: biostudies-literature

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Ternary DNA computing using 3 × 3 multiplication matrices.

Orbach Ron R   Lilienthal Sivan S   Klein Michael M   Levine R D RD   Remacle Francoise F   Willner Itamar I  

Chemical science 20141114 2


Non-Boolean computations implementing operations on multi-valued variables beyond base 2 allow enhanced computational complexity. We introduce DNA as a functional material for ternary computing, and in particular demonstrate the use of three-valued oligonucleotide inputs to construct a 3 × 3 multiplication table. The system consists of two three-valued inputs of -1; 0; +1 and a fluorophore/quencher functional hairpin acting as computational and reporter module. The interaction of the computation  ...[more]

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