boolean algebra product of sums: The Essentials of Computer Organization and Architecture Linda Null, Julia Lobur, 2006 Computer Architecture/Software Engineering |
boolean algebra product of sums: Computer Fundamentals Pradeep K. Sinha, Priti Sinha, 2004-11 |
boolean algebra product of sums: S.Chands Rapid Revision in Computer Science for Class 12 Dheeraj Mehrotra & Yogita Mehrotra, S.Chand’s Rapid Revision in Computer Science for Class 12 |
boolean algebra product of sums: Discrete Mathematical Structures G Shanker Rao, 2002 This Text Can Be Used By The Students Of Mathematics Or Computer Science As An Introduction To The Fundamentals Of Discrete Mathematics. The Book Is Designed In Accordance With The Syllabi Of Be, B. Tech, Bca, Mca, And M.Sc. (Computer Science) Prescribed In Most Of The Universities.This Book Offers The Following Topics:Mathematical Logic, Sets, Relations, Recurrence Relations, Functions, Combinations, Boolean Algebra, Logic Gates, Graph Theory, Algebraic Structures, And Finite State Machines. Each Chapter Is Supplemented With A Number Of Worked Examples As Well As A Number Of Problems To Be Solved By The Students. This Would Help In A Better Understanding Of The Subject. |
boolean algebra product of sums: Modern Digital Design and Switching Theory Eugene D. Fabricius, 2017-12-14 Modern Digital Design and Switching Theory is an important text that focuses on promoting an understanding of digital logic and the computer programs used in the minimization of logic expressions. Several computer approaches are explained at an elementary level, including the Quine-McCluskey method as applied to single and multiple output functions, the Shannon expansion approach to multilevel logic, the Directed Search Algorithm, and the method of Consensus. Chapters 9 and 10 offer an introduction to current research in field programmable devices and multilevel logic synthesis. Chapter 9 covers more advanced topics in programmed logic devices, including techniques for input decoding and Field-Programmable Gate Arrays (FPGAs). Chapter 10 includes a discussion of boolean division, kernels and factoring, boolean tree structures, rectangle covering, binary decision diagrams, and if-then-else operators. Computer algorithms covered in these two chapters include weak division, iterative weak division, and kernel extraction by tabular methods and by rectangle covering theory. Modern Digital Design and Switching Theory is an excellent textbook for electrical and computer engineering students, in addition to a worthwhile reference for professionals working with integrated circuits. |
boolean algebra product of sums: A Textbook of Digital Electronics RS Sedha, 2008 While writing this treatise,I have constantly kept in mind the requirments of all the students regarding the latest as well as changing trend of their examinations.To make it really useful for the students,latest examination questions of various indian universities as well as other examinations bodies have been included.The Book has been written in easy style,with full details and illustrations. |
boolean algebra product of sums: A Textbook of Electronic Circuits R. S. Sedha, 2014-10 The foremost and primary aim of the book is to meant the requirements of students of Anna University, Bharathidasan University, Mumbai University as well as B.E. / B.Sc of all other Indian Universities. |
boolean algebra product of sums: Electronic Digital System Fundamentals Dale R. Patrick, Stephen W. Fardo, Vigyan Chandra, 2020-12-17 This self-study text explains the basics of digital electronics using a combination of fundamental theory, examples and practical applications. Digital devices form an integral part of numerous modern-day systems and include those used for operating electronic alarm systems, for performing arithmetic, timing and computing operations, and for logging, processing and data transfer. Well-illustrated, step-by-step procedures are provided for explaining the working of these and other digital devices. All the chapters in the text include a summary of the key points covered for the purpose of review. The recommended safety precautions, datasheets of selected digital devices, and implementation guidelines while working with digital circuits in the appendices, should be of interest to the electronics hobbyist. |
boolean algebra product of sums: Boolean Reasoning Frank Markham Brown, 2012-02-10 Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition. |
boolean algebra product of sums: ADVANCED DISCRETE MATHEMATICS UDAY SINGH RAJPUT, 2012-05-26 Written in an accessible style, this text provides a complete coverage of discrete mathematics and its applications at an appropriate level of rigour. The book discusses algebraic structures, mathematical logic, lattices, Boolean algebra, graph theory, automata theory, grammars and recurrence relations. It covers the important topics such as coding theory, Dijkstra’s shortest path algorithm, reverse polish notation, Warshall’s algorithm, Menger’s theorem, Turing machine, and LR(k) parsers, which form a part of the fundamental applications of discrete mathematics in computer science. In addition, Pigeonhole principle, ring homomorphism, field and integral domain, trees, network flows, languages, and recurrence relations. The text is supported with a large number of examples, worked-out problems and diagrams that help students understand the theoretical explanations. The book is intended as a text for postgraduate students of mathematics, computer science, and computer applications. In addition, it will be extremely useful for the undergraduate students of computer science and engineering. |
boolean algebra product of sums: Essentials of Computer Organization and Architecture Linda Null, 2023-04-13 Essentials of Computer Organization and Architecture focuses on the function and design of the various components necessary to process information digitally. This title presents computing systems as a series of layers, taking a bottom–up approach by starting with low-level hardware and progressing to higher-level software. Its focus on real-world examples and practical applications encourages students to develop a “big-picture” understanding of how essential organization and architecture concepts are applied in the computing world. In addition to direct correlation with the ACM/IEEE guidelines for computer organization and architecture, the text exposes readers to the inner workings of a modern digital computer through an integrated presentation of fundamental concepts and principles. |
boolean algebra product of sums: A Handbook of Digital Logic N.B. Singh, A Handbook of Digital Logic is a comprehensive yet accessible guide designed for absolute beginners seeking to unravel the complexities of digital logic. From the foundational concepts to advanced topics, this book offers a step-by-step exploration of digital transmission media, computer networks, quantum computing, neuromorphic computing, nanotechnology in digital logic, biocomputing, and more. With clear explanations, practical examples, and real-world applications, readers will embark on a transformative journey into the realm of digital logic, empowering them to understand, design, and innovate in the digital age. Whether you're a student, hobbyist, or professional, this handbook serves as an invaluable resource for building a solid understanding of digital logic from the ground up. 3.5 |
boolean algebra product of sums: Digital Electronic Circuits Shuqin Lou, Chunling Yang, 2019-05-20 This book presents three aspects of digital circuits: digital principles, digital electronics, and digital design. The modern design methods of using electronic design automation (EDA) are also introduced, including the hardware description language (HDL), designs with programmable logic devices and large scale integrated circuit (LSI).The applications of digital devices and integrated circuits are discussed in detail as well. |
boolean algebra product of sums: Digital Electronics Rishabh Anand, The book covers the complete syllabus of subject as suggested by most of the universities in India. Proper balance between mathematical details and qualitative discussion. Subject matter in each chapter develops systematically from inceptions. Large number of carefully selected worked examples in sufficient details. Each chapter of the book is saturated with much needed test supported by neat and self-explanatory diagrams to make the subject self-speaking to a great extent. No other reference is required. Ideally suited for self-study. |
boolean algebra product of sums: Fundamental of Digital Electronics And Microprocessors A.K.Chhabra, 2005 In the recent years there has been rapid advances in the field of Digital Electronics and Microprocessor.This book is intended to help students to keep pace with these latest developments.The Present book is revised version of earlier book'Introduction to Digital Computers'by the same author.Now this book is written in a lucid and simple language,which gives clear explanation of basics of Digital Electronics,Computers and icroprocessors. |
boolean algebra product of sums: Digital Design and Computer Architecture David Money Harris, Sarah L. Harris, 2013 Provides practical examples of how to interface with peripherals using RS232, SPI, motor control, interrupts, wireless, and analog-to-digital conversion. This book covers the fundamentals of digital logic design and reinforces logic concepts through the design of a MIPS microprocessor. |
boolean algebra product of sums: Fundamentals of Digital Logic with VHDL Design Stephen D. Brown, Zvonko G. Vranesic, 2005 Fundamentals of Digital Logic With VHDL Design teaches the basic design techniques for logic circuits. It emphasizes the synthesis of circuits and explains how circuits are implemented in real chips. Fundamental concepts are illustrated by using small examples, which are easy to understand. Then, a modular approach is used to show how larger circuits are designed. VHDL is used to demonstrate how the basic building blocks and larger systems are defined in a hardware description language, producing designs that can be implemented with modern CAD tools. The book emphasizes the concepts that should be covered in an introductory course on logic design, focusing on: Logic functions, gates, and rules of Boolean algebra Circuit synthesis and optimization techniques Number representation and arithmetic circuits Combinational-circuit building blocks, such as multiplexers, decoders, encoders, and code converters Sequential-circuit building blocks, such as flip-flops, registers, and counters Design of synchronous sequential circuits Use of the basic building blocks in designing larger systems It also includes chapters that deal with important, but more advanced topics: Design of asynchronous sequential circuits Testing of logic circuits For students who have had no exposure to basic electronics, but are interested in learning a few key concepts, there is a chapter that presents the most basic aspects of electronic implementation of digital circuits. Major changes in the second edition of the book include new examples to clarify the presentation of fundamental concepts over 50 new examples of solved problems provided at the end of chapters NAND and NOR gates now introduced in Chapter 2 more complete discussion of techniques for minimization of logic functions in Chapter 4 (including the tabular method) a new chapter explaining the CAD flow for synthesis of logic circuits Altera's Quartus II CAD software provided on a CD-ROM three appendices that give tutorials on the use of Quartus II software |
boolean algebra product of sums: Digital Design and Verilog HDL Fundamentals Joseph Cavanagh, 2017-12-19 Comprehensive and self contained, this tutorial covers the design of a plethora of combinational and sequential logic circuits using conventional logic design and Verilog HDL. Number systems and number representations are presented along with various binary codes. Several advanced topics are covered, including functional decomposition and iterative networks. A variety of examples are provided for combinational and sequential logic, computer arithmetic, and advanced topics such as Hamming code error correction. Constructs supported by Verilog are described in detail. All designs are continued to completion. Each chapter includes numerous design issues of varying complexity to be resolved by the reader. |
boolean algebra product of sums: Principles of Electronic Devices & Circuits BL Theraja | RS Sedha, 2007 In this book we have included more examples,tutorial problems and objective test questions in almost all the chapters.The chapter on Optoelectronic Devices has been expanded to include more application examples in the area of optical fibre networks.The chapter on Regulated Power Supply carries more detailed study of fixed positive-Fixed negative and adjustable-linear IC voltage regulators as well as swithching voltage regulator.The topic on OP-AMPs has been separated from the chapter on integrated Circuits.A new chapter is prepard on OP-AMPs and its Applications.The Chapter on OP-AMPs and its Applications includes OP-AMP based Oscillator circuits,active filters etc. |
boolean algebra product of sums: Introduction to Discrete Mathematics via Logic and Proof Calvin Jongsma, 2019-11-08 This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades. Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics. |
boolean algebra product of sums: Digital Design and Computer Architecture, RISC-V Edition Sarah Harris, David Harris, 2021-07-12 The newest addition to the Harris and Harris family of Digital Design and Computer Architecture books, this RISC-V Edition covers the fundamentals of digital logic design and reinforces logic concepts through the design of a RISC-V microprocessor. Combining an engaging and humorous writing style with an updated and hands-on approach to digital design, this book takes the reader from the fundamentals of digital logic to the actual design of a processor. By the end of this book, readers will be able to build their own RISC-V microprocessor and will have a top-to-bottom understanding of how it works. Beginning with digital logic gates and progressing to the design of combinational and sequential circuits, this book uses these fundamental building blocks as the basis for designing a RISC-V processor. SystemVerilog and VHDL are integrated throughout the text in examples illustrating the methods and techniques for CAD-based circuit design. The companion website includes a chapter on I/O systems with practical examples that show how to use SparkFun's RED-V RedBoard to communicate with peripheral devices such as LCDs, Bluetooth radios, and motors. This book will be a valuable resource for students taking a course that combines digital logic and computer architecture or students taking a two-quarter sequence in digital logic and computer organization/architecture. - Covers the fundamentals of digital logic design and reinforces logic concepts through the design of a RISC-V microprocessor - Gives students a full understanding of the RISC-V instruction set architecture, enabling them to build a RISC-V processor and program the RISC-V processor in hardware simulation, software simulation, and in hardware - Includes both SystemVerilog and VHDL designs of fundamental building blocks as well as of single-cycle, multicycle, and pipelined versions of the RISC-V architecture - Features a companion website with a bonus chapter on I/O systems with practical examples that show how to use SparkFun's RED-V RedBoard to communicate with peripheral devices such as LCDs, Bluetooth radios, and motors - The companion website also includes appendices covering practical digital design issues and C programming as well as links to CAD tools, lecture slides, laboratory projects, and solutions to exercises - See the companion EdX MOOCs ENGR85A and ENGR85B with video lectures and interactive problems |
boolean algebra product of sums: Foundations of Computing Pradeep K. Sinha, Priti Sinha, 2022-12-12 DESCRIPTION If you wish to have a bright future in any profession today, you cannot ignore having sound foundation in Information Technology (IT). Hence, you cannot ignore to have this book because it provides comprehensive coverage of all important topics in IT. Foundations of Computing is designed to introduce through a single book the important concepts of the Foundation Courses in Computer Science (CS), Computer Applications (CA), and Information Technology (IT) programs taught at undergraduate and postgraduate levels. WHAT YOU WILL LEARN ● Characteristics, Evolution and Classification of computers. ● Binary, Octal and Hexadecimal Number systems, Computer codes and Binary arithmetic. ● Boolean algebra, Logic gates, Flip-Flops, and Design of Combinational and Sequential Circuits. ● Computer architecture, including design of CPU, Memory, Secondary storage, and I/O devices. ● Computer software, how to acquire software, and the commonly used tools and techniques for planning, developing, implementing, and operating software systems. ● Programming languages, Operating systems, Communication technologies, Computer networks, Multimedia computing, and Information security. ● Database and Data Science technologies. ● The Internet, Internet of Things (IoT), E-Governance, Geo- informatics, Medical Informatics, Bioinformatics, and many more. WHO THIS BOOK IS FOR ● Students of CS, CA and IT will find the book suitable for use as a textbook or reference book. ● Professionals will find it suitable for use as a reference book for topics in CS, CA and IT. ● Applicants preparing for various entrance tests and competitive examinations will find it suitable for clearing their concepts of CS, CA and IT. ● Anyone else interested in developing a clear understanding of the important concepts of various topics in CS, CA and IT will also find this book useful. TABLE OF CONTENTS Letter to Readers Preface About Lecture Notes Presentation Slides Abbreviations 1. Characteristics, Evolution, And Classification Of Computers 2. Internal Data Representation In Computers 3. Digital Systems Design 4. Computer Architecture 5. Secondary Storage 6. Input-Output Devices 7. Software 8. Planning The Computer Program 9. Programming Languages 10. Operating Systems 11. Database And Data Science 12. Data Communications and Computer Networks 13. The Internet and Internet Of Things 14. Multimedia Computing 15. Information Security 16. Application Domains Glossary Index Know Your Author |
boolean algebra product of sums: A Textbook of Electrical Technology - Volume IV BL Theraja, 2006 A Textbook of Electrical Technology(Vol. IV)Multicolorpictures have been added to enchance the contenet value and give to the students an idea of what he will be dealing in realityand to bridge the gap between theory and practice.A notable feature is the inclusion of chapter on Flip-Flops and related Devices as per latest development in the subject.Latest tutorial problems and objective type questions specially for GATE have been included at relevant places. |
boolean algebra product of sums: DISCRETE MATHEMATICAL STRUCTURES R. M. SOMASUNDARAM, 2003-01-01 This is a comprehensive text book covering various aspects of Discrete Mathematics. It suits the needs of the students of B.E./B.Tech., M.E., M.Sc. (Computer Science) and MCA |
boolean algebra product of sums: A Textbook of Electrical Technology BL Theraja, 2014-07 For Mechnaical Engginering Students of Indian Universities.It is also available in 4 Individual Parts |
boolean algebra product of sums: Introduction to Logic Circuits & Logic Design with VHDL Brock J. LaMeres, 2023-10-24 This textbook introduces readers to the fundamental hardware used in modern computers. The only pre-requisite is algebra, so it can be taken by college freshman or sophomore students or even used in Advanced Placement courses in high school. This book presents both the classical approach to digital system design (i.e., pen and paper) in addition to the modern hardware description language (HDL) design approach (computer-based). This textbook enables readers to design digital systems using the modern HDL approach while ensuring they have a solid foundation of knowledge of the underlying hardware and theory of their designs. This book is designed to match the way the material is actually taught in the classroom. Topics are presented in a manner which builds foundational knowledge before moving onto advanced topics. The author has designed the content with learning goals and assessment at its core. Each section addresses a specific learning outcome that the learner should be able to “do” after its completion. The concept checks and exercise problems provide a rich set of assessment tools to measure learner performance on each outcome. This book can be used for either a sequence of two courses consisting of an introduction to logic circuits (Chapters 1-7) followed by logic design (Chapters 8-14) or a single, accelerated course that uses the early chapters as reference material. |
boolean algebra product of sums: Introduction to Logic Circuits & Logic Design with Verilog Brock J. LaMeres, 2019-04-10 This textbook for courses in Digital Systems Design introduces students to the fundamental hardware used in modern computers. Coverage includes both the classical approach to digital system design (i.e., pen and paper) in addition to the modern hardware description language (HDL) design approach (computer-based). Using this textbook enables readers to design digital systems using the modern HDL approach, but they have a broad foundation of knowledge of the underlying hardware and theory of their designs. This book is designed to match the way the material is actually taught in the classroom. Topics are presented in a manner which builds foundational knowledge before moving onto advanced topics. The author has designed the presentation with learning goals and assessment at its core. Each section addresses a specific learning outcome that the student should be able to “do” after its completion. The concept checks and exercise problems provide a rich set of assessment tools to measure student performance on each outcome. |
boolean algebra product of sums: Digital Design and Computer Architecture, ARM Edition Sarah Harris, David Harris, 2015-04-09 Digital Design and Computer Architecture: ARM Edition covers the fundamentals of digital logic design and reinforces logic concepts through the design of an ARM microprocessor. Combining an engaging and humorous writing style with an updated and hands-on approach to digital design, this book takes the reader from the fundamentals of digital logic to the actual design of an ARM processor. By the end of this book, readers will be able to build their own microprocessor and will have a top-to-bottom understanding of how it works. Beginning with digital logic gates and progressing to the design of combinational and sequential circuits, this book uses these fundamental building blocks as the basis for designing an ARM processor. SystemVerilog and VHDL are integrated throughout the text in examples illustrating the methods and techniques for CAD-based circuit design. The companion website includes a chapter on I/O systems with practical examples that show how to use the Raspberry Pi computer to communicate with peripheral devices such as LCDs, Bluetooth radios, and motors. This book will be a valuable resource for students taking a course that combines digital logic and computer architecture or students taking a two-quarter sequence in digital logic and computer organization/architecture. - Covers the fundamentals of digital logic design and reinforces logic concepts through the design of an ARM microprocessor. - Features side-by-side examples of the two most prominent Hardware Description Languages (HDLs)—SystemVerilog and VHDL—which illustrate and compare the ways each can be used in the design of digital systems. - Includes examples throughout the text that enhance the reader's understanding and retention of key concepts and techniques. - The Companion website includes a chapter on I/O systems with practical examples that show how to use the Raspberry Pi computer to communicate with peripheral devices such as LCDs, Bluetooth radios, and motors. - The Companion website also includes appendices covering practical digital design issues and C programming as well as links to CAD tools, lecture slides, laboratory projects, and solutions to exercises. |
boolean algebra product of sums: Digital Electronics Anil K. Maini, 2007-09-27 The fundamentals and implementation of digital electronics are essential to understanding the design and working of consumer/industrial electronics, communications, embedded systems, computers, security and military equipment. Devices used in applications such as these are constantly decreasing in size and employing more complex technology. It is therefore essential for engineers and students to understand the fundamentals, implementation and application principles of digital electronics, devices and integrated circuits. This is so that they can use the most appropriate and effective technique to suit their technical need. This book provides practical and comprehensive coverage of digital electronics, bringing together information on fundamental theory, operational aspects and potential applications. With worked problems, examples, and review questions for each chapter, Digital Electronics includes: information on number systems, binary codes, digital arithmetic, logic gates and families, and Boolean algebra; an in-depth look at multiplexers, de-multiplexers, devices for arithmetic operations, flip-flops and related devices, counters and registers, and data conversion circuits; up-to-date coverage of recent application fields, such as programmable logic devices, microprocessors, microcontrollers, digital troubleshooting and digital instrumentation. A comprehensive, must-read book on digital electronics for senior undergraduate and graduate students of electrical, electronics and computer engineering, and a valuable reference book for professionals and researchers. |
boolean algebra product of sums: Digital Principles and Logic Design Techniques Arijit Saha, Nilotpal Manna, 2013-03 |
boolean algebra product of sums: Foundations of Digital Logic Design Gideon Langholz, Abraham Kandel, Joe L. Mott, 1998 This text is intended for a first course in digital logic design, at the sophomore or junior level, for electrical engineering, computer engineering and computer science programs, as well as for a number of other disciplines such as physics and mathematics. The book can also be used for self-study or for review by practicing engineers and computer scientists not intimately familiar with the subject. After completing this text, the student should be prepared for a second (advanced) course in digital design, switching and automata theory, microprocessors or computer organization. |
boolean algebra product of sums: Verilog HDL Design Examples Joseph Cavanagh, 2017-10-16 The Verilog language provides a means to model a digital system at many levels of abstraction from a logic gate to a complex digital system to a mainframe computer. The purpose of this book is to present the Verilog language together with a wide variety of examples, so that the reader can gain a firm foundation in the design of the digital system using Verilog HDL. The Verilog projects include the design module, the test bench module, and the outputs obtained from the simulator that illustrate the complete functional operation of the design. Where applicable, a detailed review of the theory of the topic is presented together with the logic design principles—including: state diagrams, Karnaugh maps, equations, and the logic diagram. Numerous examples and homework problems are included throughout. The examples include logical operations, counters of different moduli, half adders, full adders, a carry lookahead adder, array multipliers, different types of Moore and Mealy machines, and arithmetic logic units (ALUs). |
boolean algebra product of sums: Basic VLSI Design Technology Cherry Bhargava, Gaurav Mani Khanal, 2022-09-01 The current cutting-edge VLSI circuit design technologies provide end-users with many applications, increased processing power and improved cost effectiveness. This trend is accelerating, with significant implications on future VLSI and systems design. VLSI design engineers are always in demand for front-end and back-end design applications.The book aims to give future and current VSLI design engineers a robust understanding of the underlying principles of the subject. It not only focuses on circuit design processes obeying VLSI rules but also on technological aspects of fabrication. The Hardware Description Language (HDL) Verilog is explained along with its modelling style. The book also covers CMOS design from the digital systems level to the circuit level. The book clearly explains fundamental principles and is a guide to good design practices.The book is intended as a reference book for senior undergraduate, first-year post graduate students, researchers as well as academicians in VLSI design, electronics & electrical engineering and materials science. The basics and applications of VLSI design from digital system design to IC fabrication and FPGA Prototyping are each covered in a comprehensive manner. At the end of each unit is a section with technical questions including solutions which will serve as an excellent teaching aid to all readers.Technical topics discussed in the book include: • Digital System Design• Design flow for IC fabrication and FPGA based prototyping • Verilog HDL• IC Fabrication Technology• CMOS VLSI Design• Miscellaneous (It covers basics of Electronics, and Reconfigurable computing, PLDs, Latest technology etc.). |
boolean algebra product of sums: Switching Theory and Logic Design M.V. Subramanyam, 2005 |
boolean algebra product of sums: Digital Design and Computer Architecture David Harris, Sarah Harris, 2010-07-26 Digital Design and Computer Architecture is designed for courses that combine digital logic design with computer organization/architecture or that teach these subjects as a two-course sequence. Digital Design and Computer Architecture begins with a modern approach by rigorously covering the fundamentals of digital logic design and then introducing Hardware Description Languages (HDLs). Featuring examples of the two most widely-used HDLs, VHDL and Verilog, the first half of the text prepares the reader for what follows in the second: the design of a MIPS Processor. By the end of Digital Design and Computer Architecture, readers will be able to build their own microprocessor and will have a top-to-bottom understanding of how it works--even if they have no formal background in design or architecture beyond an introductory class. David Harris and Sarah Harris combine an engaging and humorous writing style with an updated and hands-on approach to digital design. - Unique presentation of digital logic design from the perspective of computer architecture using a real instruction set, MIPS. - Side-by-side examples of the two most prominent Hardware Design Languages--VHDL and Verilog--illustrate and compare the ways the each can be used in the design of digital systems. - Worked examples conclude each section to enhance the reader's understanding and retention of the material. |
boolean algebra product of sums: DISCRETE MATHEMATICS, THIRD EDITION CHANDRASEKARAN, N., UMAPARVATHI, M., 2022-04-04 Written with a strong pedagogical focus, the third edition of the book continues to provide an exhaustive presentation of the fundamental concepts of discrete mathematical structures and their applications in computer science and mathematics. It aims to develop the ability of the students to apply mathematical thought in order to solve computation-related problems. The book is intended not only for the undergraduate and postgraduate students of mathematics but also, most importantly, for the students of Computer Science & Engineering and Computer Applications. The book is replete with features which enable the building of a firm foundation of the underlying principles of the subject and also provides adequate scope for testing the comprehension acquired by the students. Each chapter contains numerous worked-out examples within the main discussion as well as several chapter-end Supplementary Examples for revision. The Self-Test and Exercises at the end of each chapter include a large number of objective type questions and problems respectively. Answers to objective type questions and hints to exercises are also provided. All these pedagogic features, together with thorough coverage of the subject matter, make this book a readable text for beginners as well as advanced learners of the subject. NEW TO THIS EDITION • Question Bank consisting of questions from various University Examinations • Updated chapters on Boolean Algebra, Graphs and Trees as per the recent syllabi followed in Indian Universities TARGET AUDIENCE • BE/B.Tech (Computer Science and Engineering) • MCA • M.Sc (Computer Science/Mathematics) |
boolean algebra product of sums: Switching Theory for Logic Synthesis Tsutomu Sasao, 2012-12-06 Switching Theory for Logic Synthesis covers the basic topics of switching theory and logic synthesis in fourteen chapters. Chapters 1 through 5 provide the mathematical foundation. Chapters 6 through 8 include an introduction to sequential circuits, optimization of sequential machines and asynchronous sequential circuits. Chapters 9 through 14 are the main feature of the book. These chapters introduce and explain various topics that make up the subject of logic synthesis: multi-valued input two-valued output function, logic design for PLDs/FPGAs, EXOR-based design, and complexity theories of logic networks. An appendix providing a history of switching theory is included. The reference list consists of over four hundred entries. Switching Theory for Logic Synthesis is based on the author's lectures at Kyushu Institute of Technology as well as seminars for CAD engineers from various Japanese technology companies. Switching Theory for Logic Synthesis will be of interest to CAD professionals and students at the advanced level. It is also useful as a textbook, as each chapter contains examples, illustrations, and exercises. |
boolean algebra product of sums: A First Course in Discrete Mathematics John C. Molluzzo, Fred Buckley, 1997-01-28 This highly regarded work fills the need for a treatment of elementary discrete mathematics that provides a core of mathematical terminology and concepts as well as emphasizes computer applications. Includes numerous elementary applications to computing and examples with solutions. |
boolean algebra product of sums: Introduction to Digital Electronics J. Crowe, Barrie Hayes-Gill, 1998-03-27 This text takes the student from the very basics of digital electronics to an introduction of state-of-the-art techniques used in the field. It is ideal for any engineering or science student who wishes to study the subject from its basic principles as well as serving as a guide to more advanced topics for readers already familiar with the subject. The coverage is sufficiently in-depth to allow the reader to progress smoothly onto higher level texts. |
boolean algebra product of sums: Computer Arithmetic and Verilog HDL Fundamentals Joseph Cavanagh, 2017-12-19 Verilog Hardware Description Language (HDL) is the state-of-the-art method for designing digital and computer systems. Ideally suited to describe both combinational and clocked sequential arithmetic circuits, Verilog facilitates a clear relationship between the language syntax and the physical hardware. It provides a very easy-to-learn and practical means to model a digital system at many levels of abstraction. Computer Arithmetic and Verilog HDL Fundamentals details the steps needed to master computer arithmetic for fixed-point, decimal, and floating-point number representations for all primary operations. Silvaco International’s SILOS, the Verilog simulator used in these pages, is simple to understand, yet powerful enough for any application. It encourages users to quickly prototype and de-bug any logic function and enables single-stepping through the Verilog source code. It also presents drag-and-drop abilities. Introducing the three main modeling methods—dataflow, behavioral, and structural—this self-contained tutorial— Covers the number systems of different radices, such as octal, decimal, hexadecimal, and binary-coded variations Reviews logic design fundamentals, including Boolean algebra and minimization techniques for switching functions Presents basic methods for fixed-point addition, subtraction, multiplication, and division, including the use of decimals in all four operations Addresses floating-point addition and subtraction with several numerical examples and flowcharts that graphically illustrate steps required for true addition and subtraction for floating-point operands Demonstrates floating-point division, including the generation of a zero-biased exponent Designed for electrical and computer engineers and computer scientists, this book leaves nothing unfinished, carrying design examples through to completion. The goal is practical proficiency. To this end, each chapter includes problems of varying complexity to be designed by the reader. |
Boolean algebra - Wikipedia
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the …
What is a Boolean? - Computer Hope
Jun 1, 2025 · In computer science, a boolean or bool is a data type with two possible values: true or false. It is named after the English …
BOOLEAN Definition & Meaning - Merriam-Webster
The meaning of BOOLEAN is of, relating to, or being a logical combinatorial system (such as Boolean algebra) that represents symbolically …
How Boolean Logic Works - HowStuffWorks
May 22, 2024 · A subsection of mathematical logic, Boolean logic deals with operations involving the two Boolean values: true and false. …
Boolean Algebra - GeeksforGeeks
Apr 15, 2025 · Boolean Algebra is a branch of algebra that deals with boolean values—true and false. It is fundamental to digital logic design …
Boolean algebra - Wikipedia
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in …
What is a Boolean? - Computer Hope
Jun 1, 2025 · In computer science, a boolean or bool is a data type with two possible values: true or false. It is …
BOOLEAN Definition & Meaning - Merriam-Webster
The meaning of BOOLEAN is of, relating to, or being a logical combinatorial system (such as Boolean algebra) …
How Boolean Logic Works - HowStuffWorks
May 22, 2024 · A subsection of mathematical logic, Boolean logic deals with operations involving the two …
Boolean Algebra - GeeksforGeeks
Apr 15, 2025 · Boolean Algebra is a branch of algebra that deals with boolean values—true and false. It is …