Abstract

The physical limitations of complementary metal-oxide semiconductor (CMOS) technology have led many researchers to consider other alternative technologies. Quantum-dot cellular automate (QCA), single electron tunneling (SET), tunneling phase logic (TPL), spintronic devices, etc., are some of the nanotechnologies that are being considered as possible replacements for CMOS. In these nanotechnologies, the basic logic units used to implement circuits are majority and/or minority gates. Several majority/minority logic circuit synthesis methods have been proposed. In this paper, we give a comparative study of the existing majority/minority logic circuit synthesis methods that are capable of synthesizing multi-input multi-output Boolean functions. Each of these methods is discussed in detail. The optimization priorities given to different factors such as gates, levels, inverters, etc., vary with technologies. Based on these optimization factors, the results obtained from different synthesis methods are compared. The paper also analyzes the optimization capabilities of different methods and discusses directions for future research in the synthesis of majority/minority logic networks.

Highlights

  • The complementary metal-oxide semiconductor (CMOS) technology has played a vital role in constructing integrated systems for the past four decades

  • Quantum-dot cellular automate (QCA), single electron tunneling (SET), tunneling phase logic (TPL), spintronic devices, etc., are some of the nanotechnologies that are being considered as possible replacements for CMOS

  • As the purpose of this paper is to provide a review of the best synthesis methods, we only concentrate on the multi-input multi-output majority/minority logic networks synthesis methods and do not discuss the limited methods

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Summary

Introduction

The complementary metal-oxide semiconductor (CMOS) technology has played a vital role in constructing integrated systems for the past four decades. Many researches have introduced different nanotechnologies such as quantum-dot cellular automate (QCA) [2]-[7], single electron tunneling (SET) [8] [9], tunneling phase logic (TPL) [10], spintronic devices [11], and many other nanotechnologies These nanotechnologies are being considered as possible replacements for CMOS technology and expected to provide further scaling down of feature sizes and other features of integrated systems. Other majority synthesis methods were introduced based on geometric interpretation of the three-variable Boolean functions to convert sum of products expressions into optimal majority logic networks [15] [16]. We review some post-CMOS nanotechnologies and the implementation of their majority and/or minority logic devices

Quantum-Dot Cellular Automata Technology
Single Electron Tunneling Technology
Tunneling Phase Logic Technology
Spintronic Majority Gate
All Spin Logic
Spin Torque Oscillator Logic
Spin Wave Device Technology
Nanomagnetic Logic
DNA Technology
Comparison of the Comprehensive Synthesis Methods
90 Primitive functions Yes Yes
Findings
Comparison of Experimental Results
Conclusions
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