Ternary Digital System: Concepts and Applications

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Ternary digital system is commonly known as three valued digital system.Three valued logic is an elementary set of Multiple Valued Logic, which is introduced in the book at the beginning. The book provides a detail overview of every concept required for the design and applications of ternary circuits. It covers the basic concepts for ternary logic fundamentals,ternary logic gates, its logic gate truth tables, Boolean rules for ternary logic up to ternary logic families, function synthesis and minimization techniques and an applications like one trit T-ALU, Two trit T-ALU Slice, Ternary R-S and D memory elements and an analog to ternary converter for DSP application as a fundamental block are developed and simulated using EDA tool. Finally computer simulation using EDA (Electronic Design Automation) tools like Tanner, spice and VHDL is also illustrated.

In the first half of 19 th century G.Boolean have proposed the Algebra for two valued (Binary logic) system after that Shanon has expressed the behavior of electrical switches in terms of Boolean algebra and he paved the ramp to an industrial development that is recognized as initiating one of the most revolutionary economic changes ever.

MVL is also known as Multi-Valued, Multiple-Valued or Many-Valued logic. Multi-Value logic is regarded as a switch with more than two states. Such as a 3- value switch with states ‘0’, ‘1’ and ‘2’. Or a 4-value switch with states ‘0’, ‘1’, ‘2’ and ‘3’. In case of 3-Valued logic the term ternary logic is used & term quaternary logic for 4-Valued logic. Alexander (1964) showed that the most efficient radix for implementation of switching systems is the natural base (e ≈2.71828), it seems likely that the best integral radix is 3 rather than 2.It should be noted that this book emphasis on Ternary logic with concepts and applications.

The fundamental work on Multiple Valued Logic (MVL) System was done by E.L.Post in the beginning of 19 th centuries and based on that work P.C.Rosen Bloom modeled the Algebra for MVL is called Post Algebra.

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Dr. A.P.Dhande 

Dr. Ashwinikumar P.Dhande is currently Professor in Electronic and Telecommunication engineering at Pune Institute of Computer Technology, Pune, India. He has over 22 year experience in Industry and Academic Industry. His research works is in Multi Valued Logic and have published over eleven research papers on the same topic in reputed journals and conferences. He also worked as Lecturer at University of KwaZulu Natal,Durban,South Africa in 2008. He has complete his graduation, post-graduation and doctoral study from Amravati University,Maharashtra,India. His research interest and work includes Multi Valued Logic digital system, Microwave engineering and Astronomy and have numerous research papers published in the area.

Dr. V.T.Ingole 

Dr. Vijay T .Ingole Received his B.E.(Electrical Engineering) in 1967 and M.Tech. (Integrated Power System) in 1970 from Visvesvaraya National Institute of Technology, Nagpur, Maharashtra formerly known as Visvesvaraya Regional College of Engineering. He received his Ph.D. in CdSe Solid State Devices in 1998 from Amravati University, Maharashtra, India in 1998. He has total 45 years of industrial and academic experience out of which as Chief Design Engineer in Crompton Greaves Ltd. Large Machines R&D for 12 yrs, further as a Principal and Professor for 33 years at Prof. Ram Meghe Institute of Technology & Research, Amravati, Maharashtra, India (PRMITR) and Pune Institute of Computer Technology, Pune, Maharashtra, India. 

There are 18 patents to his credit and has published one book. He is consultant to Industries for 40 years in Electronics, Electrical & Mechanical and senior member of IEEE, FIETE, FIE(I), LM ISTE, LM JEQT, LM JPTA, LM RASI. He has also discovered Paleolithic (10000-15000 BC) Rock Art Paintings in Satpura-Tapti Valley (2006), Madhya Pradesh, India. His research interest includes Electrical Machines, Power System Protection, Solid State Devices, Power Electronics, Mobile Communication, Ternary Logic. and Speech Recognition. He has more than 40 Research Paper Published in International and National Journals. Currently he is Professor Emeritus at PRMITR.

Vikram R.Ghiye 

Currently pursuing Master of Engineering degree in Electronics and Telecommunication Communication Engineering with Specialization in , Microwave engineering at Pune Institute of Computer Technology, Pune, India. He received Diploma in Communication Engineering at Government Polytechnique Amravati in 2008 and Bachelor of Engineering Degree in Electronics and Telecommunication Communication Engineering from Pune Vidyarthi Griah's, C.O.E.T, Pune, in 2011. His research interest is in Microwave communication and Digital technology. He has publications in reputed conferences related to ternary digital system.He is currently working with Pune Vidyarthi Griah’s College of Engineering,Pune,India.

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