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| boolean algebra examples and solutions: Computer Fundamentals Pradeep K. Sinha, Priti Sinha, 2004-11 |
| boolean algebra examples and solutions: 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 examples and solutions: Foundations of Computation Carol Critchlow, David Eck, 2011 Foundations of Computation is a free textbook for a one-semester course in theoretical computer science. It has been used for several years in a course at Hobart and William Smith Colleges. The course has no prerequisites other than introductory computer programming. The first half of the course covers material on logic, sets, and functions that would often be taught in a course in discrete mathematics. The second part covers material on automata, formal languages and grammar that would ordinarily be encountered in an upper level course in theoretical computer science. |
| boolean algebra examples and solutions: Boolean Functions and Equations Sergiu Rudeanu, 1974 |
| boolean algebra examples and solutions: Introduction to Computer Organization Robert G. Plantz, 2022-01-25 This hands-on tutorial is a broad examination of how a modern computer works. Classroom tested for over a decade, it gives readers a firm understanding of how computers do what they do, covering essentials like data storage, logic gates and transistors, data types, the CPU, assembly, and machine code. Introduction to Computer Organization gives programmers a practical understanding of what happens in a computer when you execute your code. You may never have to write x86-64 assembly language or design hardware yourself, but knowing how the hardware and software works will give you greater control and confidence over your coding decisions. We start with high level fundamental concepts like memory organization, binary logic, and data types and then explore how they are implemented at the assembly language level. The goal isn’t to make you an assembly programmer, but to help you comprehend what happens behind the scenes between running your program and seeing “Hello World” displayed on the screen. Classroom-tested for over a decade, this book will demystify topics like: How to translate a high-level language code into assembly language How the operating system manages hardware resources with exceptions and interrupts How data is encoded in memory How hardware switches handle decimal data How program code gets transformed into machine code the computer understands How pieces of hardware like the CPU, input/output, and memory interact to make the entire system work Author Robert Plantz takes a practical approach to the material, providing examples and exercises on every page, without sacrificing technical details. Learning how to think like a computer will help you write better programs, in any language, even if you never look at another line of assembly code again. |
| boolean algebra examples and solutions: Boolean Differential Equations Bernd Steinbach, Christian Posthoff, 2013-06-01 The Boolean Differential Calculus (BDC) is a very powerful theory that extends the structure of a Boolean Algebra significantly. Based on a small number of definitions, many theorems have been proven. The available operations have been efficiently implemented in several software packages. There is a very wide field of applications. While a Boolean Algebra is focused on values of logic functions, the BDC allows the evaluation of changes of function values. Such changes can be explored for pairs of function values as well as for whole subspaces. Due to the same basic data structures, the BDC can be applied to any task described by logic functions and equations together with the Boolean Algebra. The BDC can be widely used for the analysis, synthesis, and testing of digital circuits. Generally speaking, a Boolean differential equation (BDE) is an equation in which elements of the BDC appear. It includes variables, functions, and derivative operations of these functions. The solution of such a BDE is a set of Boolean functions. This is a significant extension of Boolean equations, which have sets of Boolean vectors as solutions. In the simplest BDE a derivative operation of the BDC on the left-hand side is equal to a logic function on the right-hand side. The solution of such a simple BDE means to execute an operation which is inverse to the given derivative. BDEs can be applied in the same fields as the BDC, however, their possibility to express sets of Boolean functions extends the application field significantly. |
| boolean algebra examples and solutions: Analysis of Boolean Functions Ryan O'Donnell, 2014-06-05 This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics. |
| boolean algebra examples and solutions: Schaum's Outline of Boolean Algebra and Switching Circuits Elliott Mendelson, 1970-06-22 Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved. |
| boolean algebra examples and solutions: Trigonometry and Double Algebra Augustus De Morgan, 1849 |
| boolean algebra examples and solutions: An Investigation of the Laws of Thought George Boole, 1854 |
| boolean algebra examples and solutions: Boolean Reasoning Frank Markham Brown, 2012-12-06 This book is about the logic of Boolean equations. Such equations were central in the algebra of logic created in 1847 by Boole [12, 13] and devel oped by others, notably Schroder [178], in the remainder of the nineteenth century. Boolean equations are also the language by which digital circuits are described today. Logicians in the twentieth century have abandoned Boole's equation based logic in favor of the more powerful predicate calculus. As a result, digital engineers-and others who use Boole's language routinely-remain largely unaware of its utility as a medium for reasoning. The aim of this book, accordingly, is to is to present a systematic outline of the logic of Boolean equations, in the hope that Boole's methods may prove useful in solving present-day problems. Two Logical Languages Logic seeks to reduce reasoning to calculation. Two main languages have been developed to achieve that object: Boole's algebra of logic and the predicate calculus. Boole's approach was to represent classes (e. g. , happy creatures, things productive of pleasure) by symbols and to represent logical statements as equations to be solved. His formulation proved inadequate, however, to represent ordinary discourse. A number of nineteenth-century logicians, including Jevons [94], Poretsky [159], Schroder [178], Venn [210], and Whitehead [212, 213], sought an improved formulation based on ex tensions or modifications of Boole's algebra. These efforts met with only limited success. |
| boolean algebra examples and solutions: The Logician and the Engineer Paul Nahin, 2017-04-04 Third printing. First paperback printing. Original copyright date: 2013. |
| boolean algebra examples and solutions: The Complexity of Boolean Functions Ingo Wegener, 1987 |
| boolean algebra examples and solutions: Basic Electronics Math Clyde Herrick, 1996-06-15 Most students entering an electronics technician program have an understanding of mathematics. Basic Electronics Math provides is a practical application of these basics to electronic theory and circuits. The first half of Basic Electronics Math provides a refresher of mathematical concepts. These chapters can be taught separately from or in combination with the rest of the book, as needed by the students. The second half of Basic Electronics Math covers applications to electronics. Basic concepts of electronics math Numerous problems and examples Uses real-world applications |
| boolean algebra examples and solutions: Abstract Algebra Thomas Judson, 2023-08-11 Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory. |
| boolean algebra examples and solutions: 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 examples and solutions: Introduction to Digital Logic & Boolean Algebra: A Comprehensive Guide to Binary Operations, Logic Gates, Logical Expression Analysis and Number Repre M. K. Gooroochurn, 2018-10-16 Digital technology has become ubiquitous in our modern society, to the extent that we risk of being left behind and becoming cut-off if we do not adopt it! This KES aims to show why digital technology is becoming so appealing, what digital data are, what operations can be performed on them, and how digital logic theory can be used to systematically formulate solutions to several practical problems. As we become immersed in the 0's and 1's of a digital world, knowing the differences between the way our smart digital companions work and how we humans interpret information is of high relevance today, irrespective of the wake of life we find ourselves in with respect to digital technology. Customers are increasingly asked to understand digital terms like bits, bytes, GB, GHz and TB when selecting their next laptop or smartphone, and for anyone aspiring to get into this rapidly evolving environment as a professional, the basics and principles are a must.The underlying digital principles are also found to be a useful asset for learning computer programming, as it enables to understand the machine level operations of the computer, and hence equips one to understand unexpected behaviors of a piece of code and in troubleshooting bugs. |
| boolean algebra examples and solutions: Trigonometry (Speedy Study Guides) Speedy Publishing, 2014-06-18 Trigonometry is the branch of science that studies triangles, paying particularly close attention to the measurements between the triangle's points and the angles of the triangle's three corners. Trigonometry is used for a variety of fields, including tailoring, landscaping and architecture. One great reason for people studying trigonometry to have charts is that there are many different formulas used to determine angles and measurements. Having a chart that showed different kinds of triangles and the formulas associated with them is quite handy! |
| boolean algebra examples and solutions: Digital Design and Computer Architecture David Harris, Sarah Harris, 2012-08-24 Digital Design and Computer Architecture, Second Edition, takes a unique and modern approach to digital design, introducing the reader to the fundamentals of digital logic and then showing step by step how to build a MIPS microprocessor in both Verilog and VHDL. This new edition combines an engaging and humorous writing style with an updated and hands-on approach to digital design. It presents new content on I/O systems in the context of general purpose processors found in a PC as well as microcontrollers found almost everywhere. Beginning with digital logic gates and progressing to the design of combinational and sequential circuits, the book uses these fundamental building blocks as the basis for the design of an actual MIPS processor. It provides practical examples of how to interface with peripherals using RS232, SPI, motor control, interrupts, wireless, and analog-to-digital conversion. SystemVerilog and VHDL are integrated throughout the text in examples illustrating the methods and techniques for CAD-based circuit design. There are also additional exercises and new examples of parallel and advanced architectures, practical I/O applications, embedded systems, and heterogeneous computing, plus a new appendix on C programming to strengthen the connection between programming and processor architecture. This new edition will appeal to professional computer engineers and to students taking a course that combines digital logic and computer architecture. - Updated based on instructor feedback with more exercises and new examples of parallel and advanced architectures, practical I/O applications, embedded systems, and heterogeneous computing - Presents digital system design examples in both VHDL and SystemVerilog (updated for the second edition from Verilog), shown side-by-side to compare and contrast their strengths - Includes a new chapter on C programming to provide necessary prerequisites and strengthen the connection between programming and processor architecture - Companion Web site includes links to Xilinx CAD tools for FPGA design, lecture slides, laboratory projects, and solutions to exercises - Instructors can also register at textbooks.elsevier.com for access to: Solutions to all exercises (PDF), Lab materials with solutions, HDL for textbook examples and exercise solutions, Lecture slides (PPT), Sample exams, Sample course syllabus, Figures from the text (JPG, PPT) |
| boolean algebra examples and solutions: Encyclopedia of Computer Science and Technology Jack Belzer, Albert G. Holzman, Allen Kent, 1978-02-01 This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions. |
| boolean algebra examples and solutions: Switching Theory and Logic Design Rao, C. V. S., 2005 Switching Theory and Logic Design is for a first-level introductory course on digital logic design. This book illustrates the usefulness of switching theory and its applications, with examples to acquaint the student with the necessary background. This book has been designed as a prerequisite to many other courses like Digital Integrated Circuits, Computer Organisation, Digital Instrumentation, Digital Control, Digital Communications and Hardware Description Languages. |
| boolean algebra examples and solutions: Complexity Classifications of Boolean Constraint Satisfaction Problems Nadia Creignou, Sanjeev Khanna, Madhu Sudan, 2001-01-01 Presents a novel form of a compendium that classifies an infinite number of problems by using a rule-based approach. |
| boolean algebra examples and solutions: Algorithmic Problem Solving Roland Backhouse, 2011-10-24 An entertaining and captivating way to learn the fundamentals of using algorithms to solve problems The algorithmic approach to solving problems in computer technology is an essential tool. With this unique book, algorithm guru Roland Backhouse shares his four decades of experience to teach the fundamental principles of using algorithms to solve problems. Using fun and well-known puzzles to gradually introduce different aspects of algorithms in mathematics and computing. Backhouse presents you with a readable, entertaining, and energetic book that will motivate and challenge you to open your mind to the algorithmic nature of problem solving. Provides a novel approach to the mathematics of problem solving focusing on the algorithmic nature of problem solving Uses popular and entertaining puzzles to teach you different aspects of using algorithms to solve mathematical and computing challenges Features a theory section that supports each of the puzzles presented throughout the book Assumes only an elementary understanding of mathematics Let Roland Backhouse and his four decades of experience show you how you can solve challenging problems with algorithms! |
| boolean algebra examples and solutions: Computer Organization and Design Fundamentals David L. Tarnoff, 2007 Computer Organization and Design Fundamentals takes the reader from the basic design principles of the modern digital computer to a top-level examination of its architecture. This book can serve either as a textbook to an introductory course on computer hardware or as the basic text for the aspiring geek who wants to learn about digital design. The material is presented in four parts. The first part describes how computers represent and manipulate numbers. The second part presents the tools used at all levels of binary design. The third part introduces the reader to computer system theory with topics such as memory, caches, hard drives, pipelining, and interrupts. The last part applies these theories through an introduction to the Intel 80x86 architecture and assembly language. The material is presented using practical terms and examples with an aim toward providing anyone who works with computer systems the ability to use them more effectively through a better understanding of their design. |
| boolean algebra examples and solutions: Linear Algebra for Economists Fuad Aleskerov, Hasan Ersel, Dmitri Piontkovski, 2011-08-18 This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics. |
| boolean algebra examples and solutions: Computer Mathematics, Series II Geoffrey Knight, 1969 General numerical and symbolic analysis; Elementary algebra; Calculus; Difference, differential and integral equations; Abstracts mathematics; Probability and statistics; Optimization mathematical programming: operations research; Mathematical communication theory: information theory; Mathematical systems and control theory; Mathematical logic and switching theory: automata. |
| boolean algebra examples and solutions: Instructor's Guide for Beyond Problem Solving and Comprehension Arthur Whimbey, Jack Lockhead, 1985-04 |
| boolean algebra examples and solutions: Automation with Programmable Logic Controllers Peter Rohner, 1996 Facilitates a thorough understanding of the fundamental principles and elements of automated machine control systems. Describes mechatronic concepts, but highlights PLC machine control and interfacing with the machine's actuators and peripheral equipment. Explains methodical design of PLC control circuits and programming, and presents solved, typical industrial case problems, shows how a modern PLC control system is designed, structured, compiled and commissioned. Distributed by ISBS. Annotation copyrighted by Book News, Inc., Portland, OR |
| boolean algebra examples and solutions: The Everything Guide to Algebra Christopher Monahan, 2011-06-18 Whether you need help solving equations or determining the slope of a line, this guide gives you the tools you need to find your answers! Beginning with the basics, you will learn and practice all the skills needed to enhance your algebra expertise. This comprehensive guide covers all the key concepts, including: Variables and expressions Linear equations and inequalities Monomials and polynomials Exponents Rational expressions The Pythagorean theorem Area and perimeter Graphs and charts Inside you'll find hundreds of examples to illustrate the basics and plenty of exercises to ensure mastery of these fundamentals. No matter if you're a student looking for a companion to your textbook, or a curious learner who's been away from the classroom too long, this will be your indispensable algebra primer. |
| boolean algebra examples and solutions: Digital Logic Circuits using VHDL Atul P. Godse, Dr. Deepali A. Godse, 2021-01-01 The book is written for an undergraduate course on digital electronics. The book provides basic concepts, procedures and several relevant examples to help the readers to understand the analysis and design of various digital circuits. It also introduces hardware description language, VHDL. The book teaches you the logic gates, logic families, Boolean algebra, simplification of logic functions, analysis and design of combinational circuits using SSI and MSI circuits and analysis and design of the sequential circuits. This book provides in-depth information about multiplexers, de-multiplexers, decoders, encoders, circuits for arithmetic operations, various types of flip-flops, counters and registers. It also covers asynchronous sequential circuits, memories and programmable logic devices. |
| boolean algebra examples and solutions: Discrete Structures, Logic, and Computability James Hein, 2010-10-25 Thoroughly updated, the new Third Edition of Discrete Structures, Logic, and Computability introduces beginning computer science and computer engineering students to the fundamental techniques and ideas used by computer scientists today, focusing on topics from the fields of mathematics, logic, and computer science itself. Dr. Hein provides elementary introductions to those ideas and techniques that are necessary to understand and practice the art and science of computing. The text contains all the topics for discrete structures in the reports of the IEEE/ACM Joint Task Force on Computing Curricula for computer science programs and for computer engineering programs. |
| boolean algebra examples and solutions: Digital Logic Design Brian Holdsworth, Clive Woods, 2002-11-01 New, updated and expanded topics in the fourth edition include: EBCDIC, Grey code, practical applications of flip-flops, linear and shaft encoders, memory elements and FPGAs. The section on fault-finding has been expanded. A new chapter is dedicated to the interface between digital components and analog voltages. - A highly accessible, comprehensive and fully up to date digital systems text - A well known and respected text now revamped for current courses - Part of the Newnes suite of texts for HND/1st year modules |
| boolean algebra examples and solutions: Diagonal Infinity, The: Problems Of Multiple Scales (With Cd-rom) Haci-murat Hubey, 1998-12-24 Contents:Diagonal of DiagonalizationDiagonal of a Single Dimension: Redefinition Limit OrdinalInfinite NumbersSimple Orthogonal Functions and Other Periodic FunctionsMore Parametric Fractals and Transfinites AgainThe Iteration MachineLinear Equations and PeriodicityIntermittency and Fluctuating FrequencyDifferent Kind of IntermittencySerial Language or Parallel PictureSemantics of ConnectivesContinuous Infinite Valued LogicsKnowledge and ProvabilityThe Turing Test and IntelligenceLife's Metalogical Koansand other topics Readership: Computer scientists and mathematicians. keywords:Diagonal Proofs;Nonlinear Differential Equations;Fuzzy Logic;Infinity;Infinite Sets “This book is well written and contains interesting philosophical ideas.” Zentralblatt MATH |
| boolean algebra examples and solutions: Discrete Structures, Logic, and Computability , |
| boolean algebra examples and solutions: Discrete Mathematics Douglas E. Ensley, J. Winston Crawley, 2005-10-07 These active and well-known authors have come together to create a fresh, innovative, and timely approach to Discrete Math. One innovation uses several major threads to help weave core topics into a cohesive whole. Throughout the book the application of mathematical reasoning is emphasized to solve problems while the authors guide the student in thinking about, reading, and writing proofs in a wide variety of contexts. Another important content thread, as the sub-title implies, is the focus on mathematical puzzles, games and magic tricks to engage students. |
| boolean algebra examples and solutions: Deep Learning, an introduction with two nice short examples Roland Büchi, 2022-09-23 This booklet introduces the most important basics of deep learning. It describes the very frequently used method of how a computer can learn using neural networks and training data and apply what it has learned to other questions similar to the training data. Two simple about 'one-pager' examples in Python show how training a neural network with forward and back propagation works and how the trained system can process simple forms of artificial thinking. The two short Python programs Learning truth tables and Recognizing a questionnaire are printed in full and are easy to follow. |
| boolean algebra examples and solutions: Discrete Mathematics Oscar Levin, 2016-08-16 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions. |
| boolean algebra examples and solutions: Theoretical Approaches to Non-Numerical Problem Solving R. B. Banerji, M. D. Mesarovic, 2012-12-06 Advances in computer technology have pointed out the next important area of computer applications: solution of non-numerical problems. It is hardly necessary to emphasize the importance of these kind of problems. First of all most of the decisions one has to make in real-life situations are non-numerical in the first instance and can be represented as numerical problems only as approximations which are often only partially valid. Second, to use the computer to its full potential it should be employed as a logical machine, capable of deduction, and not just as a numerical calculating machine. Thus the computer would extend man's capability for logical reasoning and not just for his capability to do fast and accurate calculation. It is not a new area; indeed non-numerical problems are central in fields such as artificial intelligence, heuristic programming, pattern recognition, classification and information-processing (and retrival) etc. However, it is fair to assess that progress in the area has not been quite as expected. One of the reasons was a lack of conceptual and theoretical framework in which to investigate different classes of non-numerical problems to improve understanding of various types of problems and methods for their solutions and furthermore to enable the methods which have been proven as effective in one situation to be used in another situation with appropriately similar structure. |
| boolean algebra examples and solutions: Discrete Event Simulations Aitor Goti, 2010-08-18 Considered by many authors as a technique for modelling stochastic, dynamic and discretely evolving systems, this technique has gained widespread acceptance among the practitioners who want to represent and improve complex systems. Since DES is a technique applied in incredibly different areas, this book reflects many different points of view about DES, thus, all authors describe how it is understood and applied within their context of work, providing an extensive understanding of what DES is. It can be said that the name of the book itself reflects the plurality that these points of view represent. The book embraces a number of topics covering theory, methods and applications to a wide range of sectors and problem areas that have been categorised into five groups. As well as the previously explained variety of points of view concerning DES, there is one additional thing to remark about this book: its richness when talking about actual data or actual data based analysis. When most academic areas are lacking application cases, roughly the half part of the chapters included in this book deal with actual problems or at least are based on actual data. Thus, the editor firmly believes that this book will be interesting for both beginners and practitioners in the area of DES. |
| boolean algebra examples and solutions: Discrete Mathematics Rowan Garnier, John Taylor, 2020-10-28 In a comprehensive yet easy-to-follow manner, Discrete Mathematics for New Technology follows the progression from the basic mathematical concepts covered by the GCSE in the UK and by high-school algebra in the USA to the more sophisticated mathematical concepts examined in the latter stages of the book. The book punctuates the rigorous treatment of theory with frequent uses of pertinent examples and exercises, enabling readers to achieve a feel for the subject at hand. The exercise hints and solutions are provided at the end of the book. Topics covered include logic and the nature of mathematical proof, set theory, relations and functions, matrices and systems of linear equations, algebraic structures, Boolean algebras, and a thorough treatise on graph theory. Although aimed primarily at computer science students, the structured development of the mathematics enables this text to be used by undergraduate mathematicians, scientists, and others who require an understanding of discrete mathematics. |
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 variables are the truth values true and false, usually denoted by 1 and 0, whereas 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 named after the English mathematician and logician George Boole, whose algebraic and logical systems are used in all modern digital …
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. Although Boolean logic dates back to the mid-19th century, it became foundational to modern computer …
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 and computer science, providing a mathematical framework for describing logical operations and expressions
What Boolean Logic Is & How It’s Used In Programming - Codecademy
Mar 21, 2022 · Boolean logic is a type of algebra in which results are calculated as either TRUE or FALSE (known as truth values or truth variables). Instead of using arithmetic operators like addition, subtraction, and multiplication, Boolean logic …
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 variables are the truth values true and …
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 mathematician and logician George Boole, whose …
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. Although Boolean logic dates back to the mid-19th …
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 and computer science, providing a mathematical …
What Boolean Logic Is & How It’s Used In Programming
Mar 21, 2022 · Boolean logic is a type of algebra in which results are calculated as either TRUE or FALSE (known as truth values or truth variables). Instead of using arithmetic operators like …
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 relationships (such as those implied by the …
What is Boolean in computing? – TechTarget Definition
Nov 7, 2022 · In computing, the term Boolean means a result that can only have one of two possible values: true or false. Boolean logic takes two statements or expressions and applies …
Boolean Algebra - Math is Fun
Boolean Algebra is about true and false and logic. The simplest thing we can do is to "not" or "invert": We can write this down in a "truth table" (we use T for true and F for false): We can …
Boolean Definition - freeCodeCamp.org
Mar 19, 2021 · In computer science, a boolean refers to a value that is either true or false. Boolean gets its name from the English mathematician, George Boole. Boole created a new …
Boolean - Wikipedia
Any kind of logic, function, expression, or theory based on the work of George Boole is considered Boolean. Related to this, "Boolean" may refer to: Boolean circuit, a mathematical model for …
