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...

Synthesis of quaternary quantum circuits involves basic quaternary gates and logic operations in the quaternary quantum domain. In this paper, we propose new projection operations and quaternary logic gates for synthesizing quaternary logic functions. We also demonstrate the realization of the proposed gates using basic quantum quaternary operations. We then employ our synthesis method to desig...

In this work, a novel quaternary algebra has been proposed that can be used to implement any quaternary logic function. Unlike other variants of quaternary algebra, this algebra is closely related to Boolean algebra and can be used to convert any binary function into quaternary without any significant modification. For this purpose, we have defined a set of quaternary operators and developed tw...

Multi-valued logic gates, which can handle quaternary numbers as inputs, are developed by exploiting the ballistic transport properties of quantum point contacts in series. The principle of a logic gate that finds the minimum of two quaternary number inputs is demonstrated. The device is scalable to allow multiple inputs, which makes it possible to find the minimum of multiple inputs in a singl...

The state explosion problem is the fundamental limitation of veriication through model checking. In many cases, representing the state space of a system as a lattice is an eeective way of ameliorating this problem. The partial order of the state space lattice represents an information ordering. The paper shows why using a lattice structure is desirable, and why a quaternary temporal logic rathe...

Multi-value logic is defined as a non-binary logic and involves the switching between more than two states. The design of Multiple Valued Logic (MVL) digital circuits is performed by increasing the representation domain from the two level (N=2) switching algebra to N > 2 levels. More data can be transmitted by single wire having more than two levels. Multiple-valued logic (MVL) application in t...

Background and Objectives: In recent decades, due to the effect of the short channel, the use of CMOS transistors in the nanoscale has become a major concern. One option to deal with this issue is the use of nano-transistors. Methods: Using nano-transistors and multi-valued logic (MVL) can reduce the level of chips and connections and have a direct impact on power consumption. The present study...

This paper investigates a novel design of penternary logic gates usingcarbon nanotube field effect transistors (CNTFETs). CNTFET is a suitable candidate forreplacing MOSFET with some useful properties, such as the capability of having thedesired threshold voltage by regulating the diameter of the nanotubes. Multiple-valuedlogic (MVL) such as ternary, quaternary, and penternary is a promising al...

Novel quaternary logic circuits, designed in 2-u.m'CMOS technology, are presented. These include threshold detector circuits with an improved output voltage swing and a simple binary-to-quaternary encoder circuit. Based on these, the literal circuits, the quaternary-tobinary decoder, and the quaternary register designs are derived. A novel scheme for improving the power-delay product of pseudo-...