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The huge quantity of nodes and interconnections in modern binary circuits leads to extremely high levels of energy consumption. The interconnection complexity and other issues of binary circuits encourage researchers to consider multiple-valued logic (MVL) alternatives. Features of Carbon Nanotube Field-Effect Transistors (CNTFETs) make this technology a potential candidate to implement MVL circuits. In this article, a new systematic methodology is proposed to design ternary logic block circuits based on CNTFETs. The methodology is applied to the design of two basic logic circuits, a half adder and a 1-digit multiplier, which are evaluated through HSPICE simulations. Simulation results indicate improvements over current equivalents in transistor count and PDP mean with the half adder version of 19.2%, and 74.07% respectively, and with the 1-digit multiplier of 24.67% and 81.12% respectively.

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Abstract-Multiplication scheme is one of the most essential factors, which is time consuming. Designers and manufacturers of processors emphasis on methods which would not only perform the multiplication scheme in a rapid manner, but would reduce the physical aspect of the design as well; hence, a reduction in power consumption. Addition is one of the fundamental factors in multiplication. Pre-designing of circuits and transistors' levels used to be made through Metal Oxide Semiconductor Field Effect Transistor (MOSFET), but now, due to scaling and difficulties thereof, new technologies like Single Electron Transistor (SET), Quantum-dot Cellular Automata (QCA) and Carbon Nanotube Field Effect Transistor (CNFET) are introduced. Among the new technologies, CNFET has become center of attention due to similarities in electronic features in relation to MOSFET. A comparison made between CNFET with MOSFET technologies indicate that, power delay product (PDP) and power leakage can be less in nanotube transistors. Field effect transistor circuit's simulations are accomplished through HSPICE simulator. The simulation results indicate that this proposed Three-operand Carbon Nanotube Multiplier has a better performance in comparison with the threeoperand multiplication done on computers nowadays, which we call it classical multiplier in this article.

Abstract-This paper proposes a new 4×4 reversible logic gate which is named as MOG. Reversible gates are logical basic units, having equal number of input and output lines, which can reduce power dissipation in digital systems design through their reversibility feature; because there is a one-to-one corresponding between their input and outputs vectors. The most significant aspect of the MOG gate is that it is a universal gate and has the ability of calculating any logical function on its own. We have also proposed quantum representation of the MOG gate with optimal quantum cost equal to 11. Then, it has been proved that MOG gate can be used to produce a cost efficient reversible full adder/subtractor cell in terms of reversible and quantum metrics. The proposed reversible full adder/subtractor design using MOG gate is a completely optimized circuit in terms of the number of reversible gates, the number of constant inputs, and the number of garbage outputs because it can work with the minimum possible amounts of these reversible metrics. Additionally, it is more efficient than the existing counterparts in terms of quantum cost. The full adder/subtractor cell is an important circuit in VLSI and digital signal processing applications. A lot of works have been done toward designing reversible full adder/subtractors in the literature; but there is no an optimized design with quantum implementation. To prove the applicability of the proposed design in large processing scales, we have constructed 8-bits reversible ripple carry full adder/subtractor circuit using MOG gates. Results have shown the superiority of our proposed design compared with other 8-bits similar designs.

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