Computing periodic symmetric functions in single electron tunneling technology

This paper investigates the implementation of periodic symmetric functions (PSF) in single electron tunneling technology. First, it building block is proposed that performs a multiple input PSF. The block we propose can he used for the computation of any function that is or can he expressed as a PSF, thus it can he 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.