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Periodic Symmetric Functions and Addition Related Arithmetic Operations in Single Electron Tunneling Technology

This paper investigates the implementation of Periodic Symmetric Functions (PSF) in single electron tunneling technology. First, we discuss the procedure of expressing arithmetic and logic operations as generalized PSFs. Second, we propose a building block 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. To demonstrate the capabilities of the PSF scheme we present the design and simulation results of a PSF based 3-bit adder and a PSF based block save adder. Finally, we explain how these PSF based schemes can be used in a Single Electron Encoded Logic (SEEL) environment. Keywords—single electron tunneling, periodic symmetric function.