DNA strand displacement techniques are increasingly used in majority computing mechanism, ranging from logic gates to reaction networks. Strand displacement reaction which is based on the principle of Watson-Crick complementary base pairing, enables the computation of logic circuit to be implemented through toehold-mediated with enzyme-free, allowing different domain sequences to be programmed solely, including seesawing reaction, threshold reaction and reporting reaction. In this paper, the logic circuits for implementing full adder are designed and translated equivalently into dual-rail circuit, into seesaw cascade circuit performed by DNA strand displacement reaction. The whole reaction process can be programmed and simulated in the software Visual DSD which presents details of simulation result through compiling the code for computation device. The validity of computation result of full adder further demonstrates that the DNA strand displacement is a desirable method for implementing more complicated logic computation and reaction network.

DNA strand displacement which is an approach of dynamic nanotechnology has been widely used in constructing of molecular logic circuit, molecular automata and nanomedicine and so on. DNA strand displacement is enormous capable of implementation of logical calculation which plays a critical role in the acquirement of bio-computer. In our paper, the multi-digit full adder, subtractor and multiplier which are based on the reaction of DNA strand displacement are designed and have been verified by simulation of DSD (DNA strand displacement), which is regarded as the specific software for programming, compilation, simulation and analysis of Bio-chemical logic circuit. The accuracy of simulation result further confirmed DNA strand displacement is a valid method for the research of logical bio-chemical circuit and will have huge potential in building of nano-computer in the future.

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