Procedures For Logic And Arithmetic Operations With Dna Molecules

In this paper, we consider procedures for logic and arithmetic operations with DNA molecules. We first show a DNA representation of n binary numbers of m bits, and propose a procedure to assign the same values for the representation. The representation enables addressing feature, and the procedure is applicable to n binary numbers of m bits in O(1) steps in parallel. Next, we propose a procedure for logic operations. The procedure enables any boolean operation whose input and output are defined by a truth table, and executes different kinds of boolean operations simultaneously for any pair of n binary numbers of m bits in O(1) lab steps using O(mn) DNA strands. Finally, we propose a procedure for additions of pairs of two binary numbers. The procedure executes O(n) additions of two m-bit binary numbers in O(1) steps using O(mn) DNA strands.