A new Josephson δ-gate for ternary-valued logic

摘要

A new Josephson circuit of Multiple-Valued Logic gate (Josephson ternary δ-gate) is proposed. The simulation result of the Josephson δ-gate circuit demonstrated the feasibility and the reliability operations, where very low power consumption, and ultra high speed switching operation have been achieved. Mathematical properties of δ-gate are introduced. Theδ-gate forms a complete set (completeness) with the ternary constants set {- 1, 0, 1 }. Based onδ-gate, it is possible to analyze, synthesize and realize an arbitrary ternary logic function of n-input variables. An application, a ternary logic half-adder is presented, its simulation result shows reliable operation and excellent performance. Finally, theδ-gate can transfer signals from gate to gate without loss of amplitude, theδ-gate is a multiplexor and it is very effective for a MV-FPGA (Multiple-Valued Field-Programmable Gate Arrays) building blocks.