Implementation of Trinary/Quaternary Addition using Multivalve Logic Digital Circuit

Abstract

Objective of multivalve logic design is to reduce number of gates needed and also to reduce interconnect path length. Interconnect path consist of the largest number of gates from input to output. The reason of these two objectives is that they will give extremely good properties when implemented in VLSI. Reducing number of gates will reduce the chip area, and minimizing interconnect path length will give opportunity to use highest clock frequency. In this paper quaternary to binary and binary to quaternary converter are designed. We can design the multivalve logic to binary converter which is use for conversion of ternary-valued input 0,1,2 and quaternaryvalued input 0,1,2,3 into corresponding binary-valued output 0,1. The physical design of the circuits is simulated and tested with MICROWIND layout design tool in 50nm technology. The conversion method is simple and compatible with the present CMOS process. The circuits could be embedded in digital CMOS VLSI design architectures.

Lattice Structure of Some Closed Classes for Three-Valued Logic and Its Applications

“…However, for the case of multivalued logic (in particular, for three-valued logic), this is still an open problem. Different techniques and tools have been applied to this problem, but the current results mainly include either the description of general approaches or attempts to apply the mathematical tool of linear algebra (nonlogical tools) to synthesize nonbinary digital current circuits [53], or the more complicated pure theoretical tools that are impossible to realize [54], or the realization for some special operators is only given [55], or a complete superposition calculus is only provided for first-order-type logic [56]. I proved the result for the three-valued case and showed that any logic function (digital circuit) can be synthesized from a finite number of different microcircuits.…”

Linear Logic Synthesis of Multi-Valued Sequential Circuits

“…As a result of investigations, we have defined primary application domain of this tool that is current circuits of random valuedness. The Boolean algebra is not convenient to synthesize multi-valued digital circuits, so linear algebra is not an opponent to the Boolean algebra despite the specific nature of the logic synthesis process and multivalued digital circuits circuitry [11][12][13][14][15][16][17][18][19]; it is rather an addition to Boolean algebra .…”