Implementation of Multinary Łukasiewicz Logic Using Memristive Devices

In the group of emerging non-volatile storage technologies, redox-based memristive devices stand out due to their possibility for extreme dense integration, low power consumption and multilevel capabilities. The opportunity to directly perform Boolean logic operations using memristive devices opens a promising path towards Computation-in-Memory. Recently 7- state memristive devices based on TaOx were used to realize a ternary adder circuit as well as a ternary Łukasiewicz logic and fuzzy logic. Logic that uses more than two truth values promises to reduce the number of devices that are needed for a certain operation and thereby further increases the integration density. In this work, we propose a multinary logic for three, five and seven truth values based on the Łukasiewicz logic and show the performance for the implication and negation operation. We, therefore, used the physics-based compact model JART VCM v1b to describe the relation between RESET voltage and high resistive state and then performed the logic operations.