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Bio or biological computing is system of biologically derived molecules that perform computational processes. Bio computers use systems of biologically derived molecules—such as DNA and proteins—to perform computational calculations involving storing, retrieving, and processing data. The development of biocomputers has been made possible by the expanding new science of nanobiotechnology. So in simple words, biocomputing is  the use of cells or biological molecules such as DNA to perform the functions of an electronic computer.

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