Construction of a simple and intelligent DNA-based computing system for multiplexing logic operations.

Over the past few decades, DNA-based computing technology has become a rapidly developing technology and shown remarkable capabilities in handling complex computational problems. However, most of the logical operations that DNA computer can achieve are still very basic or using large-scale operations to realize complex functions, especially in mathematics. Graphene oxide (GO) is an ideal nanomaterial for biological computing, which has been used in our previous work to perform basic logic operations. Here, we utilize GO to implement far more complex and large-scale logical computing. For the first time, in this work, we utilize the unique interaction between GO and a variety of classified single-stranded DNAs as the reaction platform, by segmenting and encoding the DNA sequences, and programming the interactions between inputs and between the inputs and reaction platform, two relative large-scale logic operations, 6-bit square-root and 9-bit cube-root logical circuits are realized. This study provides a simple but efficient method for advanced and large-scale logical mathematic operations in biotechnology, opening a new horizon for building biocomputer-based innovative functional devices.