due to the high density and the low consumption power in the digital integrated circuits, mostly technology of cmos is used. during the past times, the metal oxide silicon field effect transistors (mosfet) had been used for the design and implementation of the digital integrated circuits because they are compact and also they have the less consumption power and delay to the other transistors. b...

This paper shows the best operators for sumof-products expressions. We first describe conditions of functions for product and sum operations. We examine all two-variable functions and select those that meet the conditions and then evaluate the number of product terms needed in the minimum sum-of-products expressions when each combination of selected product and sum functions is used. As a resul...

Reversible logic is becoming more and more prominent as the technology sets higher demands on heat, power, scaling and stability. Reversible gates are able at any time to ”undo” the current step or function. Multiple-valued logic has the advantage of transporting and evaluating higher bits each clock cycle than binary. Moreover, we demonstrate in this paper, combining these disciplines we can c...

   This paper presents a novel design of quaternary logic gates using graphene nanoribbon field effect transistors (GNRFETs). GNRFETs are the alternative devices for digital circuit design due to their superior carrier-transport properties and potential for large-scale processing. In addition, Multiple-valued logic (MVL) is a promising alternative to the conventional binary logic design. Sa...

Attributional calculus is a typed logic system that combines elements of propositional logic, predicate logic, and multiple valued logic. It was developed with the main intention to support natural induction, by which we mean an inductive inference that generates knowledge in the forms “natural” to people, such as natural language style descriptions or graphical visualizations, and by that simp...

In a previous paper, the authors defined a new class ofmultiple-valued logic functions, called multiple-valued majority func-tions. This correspondence clarifies the distinction of multiple-valuedmajority functions from multiple-valued threshold functions through thedifference between a number function and an inner product of an inputvector and a weight vector. Zndcx Terns-I...