Singleton {NOT} and Doubleton {YES; NOT} Gates Act as Functionally Complete Sets in DNA-Integrated Computational Circuits

Author:

Bardales Andrea C.1ORCID,Vo Quynh1,Kolpashchikov Dmitry M.123ORCID

Affiliation:

1. Chemistry Department, University of Central Florida, Orlando, FL 32816, USA

2. National Center for Forensic Sciences, University of Central Florida, Orlando, FL 32816, USA

3. Burnett School of Biomedical Sciences, University of Central Florida, Orlando, FL 32816, USA

Abstract

A functionally complete Boolean operator is sufficient for computational circuits of arbitrary complexity. We connected YES (buffer) with NOT (inverter) and two NOT four-way junction (4J) DNA gates to obtain IMPLY and NAND Boolean functions, respectively, each of which represents a functionally complete gate. The results show a technological path towards creating a DNA computational circuit of arbitrary complexity based on singleton NOT or a combination of NOT and YES gates, which is not possible in electronic computers. We, therefore, concluded that DNA-based circuits and molecular computation may offer opportunities unforeseen in electronics.

Funder

National Science Foundation

Publisher

MDPI AG

Reference19 articles.

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3. Whitehead, A.N., and Russel, B. (1963). Principia Mathematica, The Syndics of the Cambridge University Press. [2nd ed.].

4. ‘Memristive’ Switches Enable ‘Stateful’ Logic Operations via Material Implication;Borghetti;Nature,2010

5. A Single-Device Universal Logic Gate Based on a Magnetically Enhanced Memristor;Prezioso;Adv. Mater.,2013

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