High-Radix Addition and Multiplication in the Electron Counting Paradigm Using Single Electron Tunneling Technology

The Electron Counting (EC) paradigm was proved to be an efficient methodology for computing arithmetic operations in Single Electron Tunneling (SET) technology. In previous research EC based addition and multiplication have been implemented. However, the effective performance of these schemes is diminished by fabrication technology imposed practical limitations. To alleviate this problem high radix computation was suggested. In this paper we present a high radix EC addition scheme and a high radix EC multiplication scheme. For both arithmetic operations, we first briefly present the normal (non high radix) EC schemes. Second, we present the high radix schemes and explain their functionality. Third, we explain the implementation of the high radix schemes in details. Finally, we present simulation results and evaluate the schemes in terms of delay and area cost.