Computing Periodic Symmetric Functions in Single Electron

This paper investigates the implementation of Periodic Symmetric Functions (PSF) in single electron tunneling technology. First, a building block is proposed that performs a multiple input PSF. The block we propose can be used for the computation of any function that is or can be expressed as a PSF, thus it can be utilized for the implementation of a large number of arithmetic operations, e.g., parity, addition, multi-operand addition, as they belong to the class of generalized PSFs. Subsequently, a PSF based addition scheme is proposed and it is demonstrated how this adder can be used in a Single Electron Encoded Logic (SEEL) environment. Finally, a 3-bit instance of the addition scheme is presented and verified by means of simulation

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