Arithmetic Operations in Single Electron

In this thesis we investigate the implementation of arithmetic operations in Single Electron Tunneling (SET) technology. In particular we focus on design methodologies for SET based circuits, high radix addition in the Electron Counting (EC) paradigm, and the computation of periodic symmetric functions. First, we propose a design methodology that, given a circuit topology and the corresponding targeted behaviour, assists the circuit designer in deriving the circuit parameters in an analytical way. The methodology, based on the mathematical description of the tunnel junctions in the circuit, allows for a time effective design of SET based building blocks. Moreover the method allows for the adaptation of such blocks for the utilization in larger SET circuits. The methodology we propose can be used for circuits operating under the Single Electron Encoded Logic (SEEL) paradigm and it is very useful as the design of SE