DNA Arithmetic With Error Correction

DNA design approaches are expected to play an important role in the future design of non-silicon-based computers. However, one of the main challenges for its mass fabrication is the considerable error rate. This paper presents a DNA computing system based on the Redundant Residue Number system (RRNS) that has elegant fault-tolerance features. The proposed method is the first to introduce the sticker model into DNA Arithmetic based on RRNS. The ability of error detection and correction are advantages of the proposed computing system. Moreover, the proposed arithmetic method can operate on large DNA-represented numbers, since RNS split them into smaller numbers. The implementation of arithmetic operations on these small numbers decreases the probability of failure in DNA operations.