@incollection{, 4225B721F4B1E4CDDFC900DB01E8194C , author={{RanganathanVijayaraghavan} and {SamanvitaNagaraju}}, journal={{Global Journal of Researches in Engineering}}, journal={{GJRE}}2249-45960975-586110.34257/gjre, address={Cambridge, United States}, publisher={Global Journals Organisation}221712 } @book{b0, , title={{Algorithms and Hardware Designs}} , author={{ BehroohzParhami }} , year={2000} , publisher={Computer Arithmetic Oxford University Press} } @incollection{b1, , title={{Design of a digit slice on line arithmetic Unit}} , author={{ AGorjisinaki } and { MDErcegovac }} , booktitle={{IEEE 5th Symposium on Computer Arithmetic (ARITH)}} , year={1981} } @book{b2, , title={{}} , author={{ AvronBarr } and { Edward } and { AFeigenbaumed }} , year={1982} } @incollection{b3, , title={{}} , journal={{Artificial Intelligence}} 2 , publisher={Heuris Tech Press and William Kaufman Inc} Hand Book of } @incollection{b4, , title={{Computing Machinery and Intelligence}} , author={{ AMTuring }} , journal={{Mind}} 49 , year={1950} } @book{b5, , title={{On computable Numbers with an application to the Entsschei dungs problem}} , author={{ ATuring }} , year={1937} , publisher={EDN} } @book{b6, , title={{The computing machines in Furture}} , author={{ Richard P Feynman }} , year={1985} Nishina Memorial Lecture at Gakushuin University } @book{b7, , title={{The Science of the Artificial}} , author={{ AHerbert } and { Simon }} , year={1996} , publisher={The MIT Press} } @incollection{b8, , title={{On a class of skew Distribution Functions}} , author={{ SimonHerbert } and { A }} , journal={{Biometrika}} 42 3-4 , year={1955} } @incollection{b9, , title={{On optimal binary signed representations of integer}} , author={{ ZhangWu Ting } and { Min } and { DUHuan-Qiang } and { Wang Rang-Bo }} , journal={{Appl. Math. J, Chinese Univ}} 25 3 , year={2010} } @incollection{b10, , title={{Quantum Computing for Everyone}} , journal={{Chris Bern Hardt}} , year={2019} , publisher={The MIT Press} } @book{b11, , author={{ UnderwoodDudley }} , title={{What is Mathematics for? Notices of the AMS}} , year={2010} 57 } @incollection{b12, , title={{Process Variation Aware Multiple-Fault Diagnosis of Thermometer Coded Current-Steering DACs}} , author={{ TopaloguluRasit Onur }} , journal={{IEEE Transactions on Circuits and Systems}} 54 2 , year={2007} , note={Express Briefs} } @incollection{b13, , title={{Efficient Modular Adder Designs Based on Thermometer Coding and One-Hot Coding}} , author={{ ToruNakura } and { &Kunihiro Asada }} , booktitle={{IEEE Transactions On Very Large Scale Integration (VLSI) Systems}} , booktitle={{IEEE Asian Solid-State Circuits Conference A-SSCC. 14. Fereshteh Jafarzadehpour}} , editor={ AmirSabbagh Molahosseini Zadeh Alsadat Emrani LeonelZarandi Sousa } , year={2013. 2019} 27 , note={Pulse Width Controlled PLL/ DLL using Soft Thermometer Code} } @incollection{b14, , title={{Duality in Mathematics and linear and integer programming}} , author={{ HPWilliams }} , journal={{Journal of Optimization Theory and Applications}} 90 , year={1996} } @incollection{b15, , title={{}} , author={{ Girvin } and { SMDuality }} , journal={{Perspective}} 274 , year={1996} } @book{b16, , author={{ DeHaro } and { S }} , title={{Butterfield, J. On symmetry and duality Synthese}} , year={2019} } @book{b17, , author={{ RubenAldrovandi } and { & José GeraldoPereira }} , title={{Duality Symmetry}} , publisher={Teleparallel Gravity} , year={2013} } @incollection{b18, , title={{}} , journal={{Fundamental Theories of Physics}} 173 , publisher={Springer} } @book{b19, , title={{Duality and Symmetry, Special issue of Symmetry}} , editor={ Dr Ivan Fernandoz-Corbaton } , publisher={MDPI} , year={2019} 11 } @book{b20, , title={{Introduction to Boolean Algebras}} , author={{ StevenGivant } and { HalmosPaul }} , year={2009} , publisher={Springer} } @book{b21, , title={{The Mathematical Analysis of Logic}} , author={{ GeorgeBoole }} , year={2011} , note={Project Gutenberg's} } @incollection{b22, , title={{Silicon Processing CMOS Technology, Electronic Materials}} , author={{ DJFoster }} , booktitle={{Electronic Materials}} , editor={Miller L.S., Mullin J.B.} , year={1991} , publisher={Springer} } @incollection{b23, , title={{CMOS technology on another level}} , author={{ BHLee }} , journal={{Nat Electron}} 2 , year={2019} } @book{b24, , title={{Characterization and Modelling of Digital circuits Second Edition}} , author={{ RohitSharma }} , year={2018} , note={Paper Back} } @book{b25, , author={{ JaakkoAstola } and { SRadomir } and { Stankovic }} , title={{Fundamentals of Switching Theory and Logic Design A Hands-on Approach}} US , publisher={Springer} , year={2006} } @book{b26, , author={{ StanleyWolf }} , title={{Silicon Processing for VLSI Era}} , year={2002} Submicron Process Technology, Lattice Pr } @incollection{b27, , title={{Practical Problems in VLSI Physical Design Automation}} , author={{ Springer } and { BHoldsworth } and { RCWoods }} , booktitle={{Digital Logic Design}} , editor={ SungKyu Lim } , publisher={Elsevier Ltd} , year={2008. 2003} , note={Arithmetic Circuits} } @book{b28, , title={{Arithmetic Circuits. In: Introduction to Logic Circuits & Logic Design with Verilog}} , author={{ BJLameres }} , year={2019} , publisher={Springer} , address={Cham} } @book{b29, , title={{Approximate Arithmetic Circuits: Design and Evaluation}} , author={{ HJiang } and { LLiu } and { FLombardi } and { JHan }} , editor={Reda S., Shafique M.} , year={2019} , publisher={Springer} , address={Cham} } @book{b30, , title={{}} , author={{ Ki-SeokChung } and { TaewhanKim } and { CLLiu }} , year={2002} }