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Fundamentals of logic design / Charles H. Roth, Jr., University of Texas at Austin, Larry L. Kinney, University of Minnesota, Twin Cities.

By: Roth, Charles H.
Contributor(s): Kinney, Larry L.
Stamford, CT : Cengage Learning, ©2014Edition: Seventh edition, International edition.Description: xxiii, 791 pages : illustrations (some color) ; 24 cm + 1 CD-ROM (4 3/4 in.).Content type: text ISBN: 9781133628484 ; 1133628486.Subject(s): Logic circuits | Logic design | Logic design -- Problems, exercises, etc | Logic circuits | Logic designGenre/Form: Problems, exercises, etc.DDC classification: 621.395/R74 Other classification: CCS Online resources: Contributor biographical information | Publisher description | Table of contents only
Contents:
Machine generated contents note: Unit 1 Introduction Number Systems and Conversion -- Objectives -- Study Guide -- 1.1. Digital Systems and Switching Circuits -- 1.2. Number Systems and Conversion -- 1.3. Binary Arithmetic -- 1.4. Representation of Negative Numbers -- Sign and Magnitude Numbers -- 2's Complement Numbers -- Addition of 2's Complement Numbers -- 1's Complement Numbers -- Addition of 1's Complement Numbers -- 1.5. Binary Codes -- Problems -- Unit 2 Boolean Algebra -- Objectives -- Study Guide -- 2.1. Introduction -- 2.2. Basic Operations -- 2.3. Boolean Expressions and Truth Tables -- 2.4. Basic Theorems -- 2.5.Commutative, Associative, Distributive, and DeMorgan's Laws -- 2.6. Simplification Theorems -- 2.7. Multiplying Out and Factoring -- 2.8.Complementing Boolean Expressions -- Problems -- Unit 3 Boolean Algebra (Continued) -- Objectives -- Study Guide -- 3.1. Multiplying Out and Factoring Expressions -- 3.2. Exclusive-OR and Equivalence Operations -- 3.3. The Consensus Theorem -- 3.4. Algebraic Simplification of Switching Expressions -- 3.5. Proving Validity of an Equation -- Programmed Exercises -- Problems -- Unit 4 Applications of Boolean Algebra Minterm and Maxterm Expansions -- Objectives -- Study Guide -- 4.1. Conversion of English Sentences to Boolean Equations -- 4.2.Combinational Logic Design Using a Truth Table -- 4.3. Minterm and Maxterm Expansions -- 4.4. General Minterm and Maxterm Expansions -- 4.5. Incompletely Specified Functions -- 4.6. Examples of Truth Table Construction -- 4.7. Design of Binary Adders and Subtracters -- Problems -- Unit 5 Karnaugh Maps -- Objectives -- Study Guide -- 5.1. Minimum Forms of Switching Functions -- 5.2. Two-and Three-Variable Karnaugh Maps -- 5.3. Four-Variable Karnaugh Maps -- 5.4. Determination of Minimum Expressions Using Essential Prime Implicants -- 5.5. Five-Variable Karnaugh Maps -- 5.6. Other Uses of Karnaugh Maps -- 5.7. Other Forms of Karnaugh Maps -- Programmed Exercises -- Problems -- Unit 6 Quine-McCluskey Method -- Objectives -- Study Guide -- 6.1. Determination of Prime Implicants -- 6.2. The Prime Implicant Chart -- 6.3. Petrick's Method -- 6.4. Simplification of Incompletely Specified Functions -- 6.5. Simplification Using Map-Entered Variables -- 6.6. Conclusion -- Programmed Exercise -- Problems -- Unit 7 Multi-Level Gate Circuits NAND and NOR Gates -- Objectives -- Study Guide -- 7.1. Multi-Level Gate Circuits -- 7.2. NAND and NOR Gates -- 7.3. Design of Two-Level NAND-and NOR-Gate Circuits -- 7.4. Design of Multi-Level NAND-and NOR-Gate Circuits -- 7.5. Circuit Conversion Using Alternative Gate Symbols -- 7.6. Design of Two-Level, Multiple-Output Circuits -- Determination of Essential Prime Implicants for Multiple-Output Realization -- 7.7. Multiple-Output NAND-and NOR-Gate Circuits -- Problems -- Unit 8 Combinational Circuit Design and Simulation Using Gates -- Objectives -- Study Guide -- 8.1. Review of Combinational Circuit Design -- 8.2. Design of Circuits with Limited Gate Fan-In -- 8.3. Gate Delays and Timing Diagrams -- 8.4. Hazards in Combinational Logic -- 8.5. Simulation and Testing of Logic Circuits -- Problems -- Design Problems -- Seven-Segment Indicator -- Unit 9 Multiplexers, Decoders, and Programmable Logic Devices -- Objectives -- Study Guide -- 9.1. Introduction -- 9.2. Multiplexers -- 9.3. Three-State Buffers -- 9.4. Decoders and Encoders -- 9.5. Read-Only Memories -- 9.6. Programmable Logic Devices -- Programmable Logic Arrays -- Programmable Array Logic -- 9.7.Complex Programmable Logic Devices -- 9.8. Field-Programmable Gate Arrays -- Decomposition of Switching Functions -- Problems -- Unit 10 Introduction to VHDL -- Objectives -- Study Guide -- 10.1. VHDL Description of Combinational Circuits -- 10.2. VHDL Models for Multiplexers -- 10.3. VHDL Modules -- Four-Bit Full Adder -- 10.4. Signals and Constants -- 10.5. Arrays -- 10.6. VHDL Operators -- 10.7. Packages and Libraries -- 10.8. IEEE Standard Logic -- 10.9.Compilation and Simulation of VHDL Code -- Problems -- Design Problems -- Unit 11 Latches and Flip-Flops -- Objectives -- Study Guide -- 11.1. Introduction -- 11.2. Set-Reset Latch -- 11.3. Gated Latches -- 11.4. Edge-Triggered D Flip-Flop -- 11.5.S-R Flip-Flop -- 11.6.J-K Flip-Flop -- 11.7.T Flip-Flop -- 11.8. Flip-Flops with Additional Inputs -- 11.9. Asynchronous Sequential Circuits -- 11.10. Summary -- Problems -- Programmed Exercise -- Unit 12 Registers and Counters -- Objectives -- Study Guide -- 12.1. Registers and Register Transfers -- Parallel Adder with Accumulator -- 12.2. Shift Registers -- 12.3. Design of Binary Counters -- 12.4. Counters for Other Sequences -- Counter Design Using D Flip-Flops -- 12.5. Counter Design Using S-R and J-K Flip-Flops -- 12.6. Derivation of Flip-Flop Input Equations -- Summary -- Problems -- Unit 13 Analysis of Clocked Sequential Circuits -- Objectives -- Study Guide -- 13.1.A Sequential Parity Checker -- 13.2. Analysis by Signal Tracing and Timing Charts -- 13.3. State Tables and Graphs -- Construction and Interpretation of Timing Charts -- 13.4. General Models for Sequential Circuits -- Programmed Exercise -- Problems -- Unit 14 Derivation of State Graphs and Tables -- Objectives -- Study Guide -- 14.1. Design of a Sequence Detector -- 14.2. More Complex Design Problems -- 14.3. Guidelines for Construction of State Graphs -- 14.4. Serial Data Code Conversion -- 14.5. Alphanumeric State Graph Notation -- 14.6. Incompletely Specified State Tables -- Programmed Exercises -- Problems -- Unit 15 Reduction of State Tables State Assignment -- Objectives -- Study Guide -- 15.1. Elimination of Redundant States -- 15.2. Equivalent States -- 15.3. Determination of State Equivalence Using an Implication Table -- 15.4. Equivalent Sequential Circuits -- 15.5. Reducing Incompletely Specified State Tables -- 15.6. Derivation of Flip-Flop Input Equations -- 15.7. Equivalent State Assignments -- 15.8. Guidelines for State Assignment -- 15.9. Using a One-Hot State Assignment -- Problems -- Unit 16 Sequential Circuit Design -- Objectives -- Study Guide -- 16.1. Summary of Design Procedure for Sequential Circuits -- 16.2. Design Example -- Code Converter -- 16.3. Design of Iterative Circuits -- Design of a Comparator -- 16.4. Design of Sequential Circuits Using ROMs and PLAs -- 16.5. Sequential Circuit Design Using CPLDs -- 16.6. Sequential Circuit Design Using FPGAs -- 16.7. Simulation and Testing of Sequential Circuits -- 16.8. Overview of Computer-Aided Design -- Design Problems -- Additional Problems -- Unit 17 VHDL for Sequential Logic -- Objectives -- Study Guide -- 17.1. Modeling Flip-Flops Using VHDL Processes -- 17.2. Modeling Registers and Counters Using VHDL Processes -- 17.3. Modeling Combinational Logic Using VHDL Processes -- 17.4. Modeling a Sequential Machine -- 17.5. Synthesis of VHDL Code -- 17.6. More About Processes and Sequential Statements -- Problems -- Simulation Problems -- Unit 18 Circuits for Arithmetic Operations -- Objectives -- Study Guide -- 18.1. Serial Adder with Accumulator -- 18.2. Design of a Binary Multiplier -- 18.3. Design of a Binary Divider -- Programmed Exercises -- Problems -- Unit 19 State Machine Design with SM Charts -- Objectives -- Study Guide -- 19.1. State Machine Charts -- 19.2. Derivation of SM Charts -- 19.3. Realization of SM Charts -- Problems -- Unit 20 VHDL for Digital System Design -- Objectives -- Study Guide -- 20.1. VHDL Code for a Serial Adder -- 20.2. VHDL Code for a Binary Multiplier -- 20.3. VHDL Code for a Binary Divider -- 20.4. VHDL Code for a Dice Game Simulator -- 20.5. Concluding Remarks -- Problems -- Lab Design Problems -- A. Appendices -- A. MOS and CMOS Logic -- B. VHDL Language Summary -- C. Tips for Writing Synthesizable VHDL Code -- D. Proofs of Theorems -- E. Answers to Selected Study Guide Questions and Problems.
Summary: Updated for this 7th edition, this text achieves a balance between theory and application. It presents the theory that is necessary for understanding the fundamental concepts of logic design while not overwhelming students with the mathematics of switching theory.
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Revision of: Fundamentals of logic design / Charles H. Roth, Jr., University of Texas at Austin, Larry L. Kinney, University of Minnesota, Twin Cities. -- Sixth edition. -- [Stamford, CT] : Cengage Learning, [2010]. Accompanying CD-ROM contains LogicAid, SimUaid, DirectVHDL-PE, user's guides, and examples.

Includes bibliographical references (page 785) and index.

Machine generated contents note: Unit 1 Introduction Number Systems and Conversion -- Objectives -- Study Guide -- 1.1. Digital Systems and Switching Circuits -- 1.2. Number Systems and Conversion -- 1.3. Binary Arithmetic -- 1.4. Representation of Negative Numbers -- Sign and Magnitude Numbers -- 2's Complement Numbers -- Addition of 2's Complement Numbers -- 1's Complement Numbers -- Addition of 1's Complement Numbers -- 1.5. Binary Codes -- Problems -- Unit 2 Boolean Algebra -- Objectives -- Study Guide -- 2.1. Introduction -- 2.2. Basic Operations -- 2.3. Boolean Expressions and Truth Tables -- 2.4. Basic Theorems -- 2.5.Commutative, Associative, Distributive, and DeMorgan's Laws -- 2.6. Simplification Theorems -- 2.7. Multiplying Out and Factoring -- 2.8.Complementing Boolean Expressions -- Problems -- Unit 3 Boolean Algebra (Continued) -- Objectives -- Study Guide -- 3.1. Multiplying Out and Factoring Expressions -- 3.2. Exclusive-OR and Equivalence Operations -- 3.3. The Consensus Theorem -- 3.4. Algebraic Simplification of Switching Expressions -- 3.5. Proving Validity of an Equation -- Programmed Exercises -- Problems -- Unit 4 Applications of Boolean Algebra Minterm and Maxterm Expansions -- Objectives -- Study Guide -- 4.1. Conversion of English Sentences to Boolean Equations -- 4.2.Combinational Logic Design Using a Truth Table -- 4.3. Minterm and Maxterm Expansions -- 4.4. General Minterm and Maxterm Expansions -- 4.5. Incompletely Specified Functions -- 4.6. Examples of Truth Table Construction -- 4.7. Design of Binary Adders and Subtracters -- Problems -- Unit 5 Karnaugh Maps -- Objectives -- Study Guide -- 5.1. Minimum Forms of Switching Functions -- 5.2. Two-and Three-Variable Karnaugh Maps -- 5.3. Four-Variable Karnaugh Maps -- 5.4. Determination of Minimum Expressions Using Essential Prime Implicants -- 5.5. Five-Variable Karnaugh Maps -- 5.6. Other Uses of Karnaugh Maps -- 5.7. Other Forms of Karnaugh Maps -- Programmed Exercises -- Problems -- Unit 6 Quine-McCluskey Method -- Objectives -- Study Guide -- 6.1. Determination of Prime Implicants -- 6.2. The Prime Implicant Chart -- 6.3. Petrick's Method -- 6.4. Simplification of Incompletely Specified Functions -- 6.5. Simplification Using Map-Entered Variables -- 6.6. Conclusion -- Programmed Exercise -- Problems -- Unit 7 Multi-Level Gate Circuits NAND and NOR Gates -- Objectives -- Study Guide -- 7.1. Multi-Level Gate Circuits -- 7.2. NAND and NOR Gates -- 7.3. Design of Two-Level NAND-and NOR-Gate Circuits -- 7.4. Design of Multi-Level NAND-and NOR-Gate Circuits -- 7.5. Circuit Conversion Using Alternative Gate Symbols -- 7.6. Design of Two-Level, Multiple-Output Circuits -- Determination of Essential Prime Implicants for Multiple-Output Realization -- 7.7. Multiple-Output NAND-and NOR-Gate Circuits -- Problems -- Unit 8 Combinational Circuit Design and Simulation Using Gates -- Objectives -- Study Guide -- 8.1. Review of Combinational Circuit Design -- 8.2. Design of Circuits with Limited Gate Fan-In -- 8.3. Gate Delays and Timing Diagrams -- 8.4. Hazards in Combinational Logic -- 8.5. Simulation and Testing of Logic Circuits -- Problems -- Design Problems -- Seven-Segment Indicator -- Unit 9 Multiplexers, Decoders, and Programmable Logic Devices -- Objectives -- Study Guide -- 9.1. Introduction -- 9.2. Multiplexers -- 9.3. Three-State Buffers -- 9.4. Decoders and Encoders -- 9.5. Read-Only Memories -- 9.6. Programmable Logic Devices -- Programmable Logic Arrays -- Programmable Array Logic -- 9.7.Complex Programmable Logic Devices -- 9.8. Field-Programmable Gate Arrays -- Decomposition of Switching Functions -- Problems -- Unit 10 Introduction to VHDL -- Objectives -- Study Guide -- 10.1. VHDL Description of Combinational Circuits -- 10.2. VHDL Models for Multiplexers -- 10.3. VHDL Modules -- Four-Bit Full Adder -- 10.4. Signals and Constants -- 10.5. Arrays -- 10.6. VHDL Operators -- 10.7. Packages and Libraries -- 10.8. IEEE Standard Logic -- 10.9.Compilation and Simulation of VHDL Code -- Problems -- Design Problems -- Unit 11 Latches and Flip-Flops -- Objectives -- Study Guide -- 11.1. Introduction -- 11.2. Set-Reset Latch -- 11.3. Gated Latches -- 11.4. Edge-Triggered D Flip-Flop -- 11.5.S-R Flip-Flop -- 11.6.J-K Flip-Flop -- 11.7.T Flip-Flop -- 11.8. Flip-Flops with Additional Inputs -- 11.9. Asynchronous Sequential Circuits -- 11.10. Summary -- Problems -- Programmed Exercise -- Unit 12 Registers and Counters -- Objectives -- Study Guide -- 12.1. Registers and Register Transfers -- Parallel Adder with Accumulator -- 12.2. Shift Registers -- 12.3. Design of Binary Counters -- 12.4. Counters for Other Sequences -- Counter Design Using D Flip-Flops -- 12.5. Counter Design Using S-R and J-K Flip-Flops -- 12.6. Derivation of Flip-Flop Input Equations -- Summary -- Problems -- Unit 13 Analysis of Clocked Sequential Circuits -- Objectives -- Study Guide -- 13.1.A Sequential Parity Checker -- 13.2. Analysis by Signal Tracing and Timing Charts -- 13.3. State Tables and Graphs -- Construction and Interpretation of Timing Charts -- 13.4. General Models for Sequential Circuits -- Programmed Exercise -- Problems -- Unit 14 Derivation of State Graphs and Tables -- Objectives -- Study Guide -- 14.1. Design of a Sequence Detector -- 14.2. More Complex Design Problems -- 14.3. Guidelines for Construction of State Graphs -- 14.4. Serial Data Code Conversion -- 14.5. Alphanumeric State Graph Notation -- 14.6. Incompletely Specified State Tables -- Programmed Exercises -- Problems -- Unit 15 Reduction of State Tables State Assignment -- Objectives -- Study Guide -- 15.1. Elimination of Redundant States -- 15.2. Equivalent States -- 15.3. Determination of State Equivalence Using an Implication Table -- 15.4. Equivalent Sequential Circuits -- 15.5. Reducing Incompletely Specified State Tables -- 15.6. Derivation of Flip-Flop Input Equations -- 15.7. Equivalent State Assignments -- 15.8. Guidelines for State Assignment -- 15.9. Using a One-Hot State Assignment -- Problems -- Unit 16 Sequential Circuit Design -- Objectives -- Study Guide -- 16.1. Summary of Design Procedure for Sequential Circuits -- 16.2. Design Example -- Code Converter -- 16.3. Design of Iterative Circuits -- Design of a Comparator -- 16.4. Design of Sequential Circuits Using ROMs and PLAs -- 16.5. Sequential Circuit Design Using CPLDs -- 16.6. Sequential Circuit Design Using FPGAs -- 16.7. Simulation and Testing of Sequential Circuits -- 16.8. Overview of Computer-Aided Design -- Design Problems -- Additional Problems -- Unit 17 VHDL for Sequential Logic -- Objectives -- Study Guide -- 17.1. Modeling Flip-Flops Using VHDL Processes -- 17.2. Modeling Registers and Counters Using VHDL Processes -- 17.3. Modeling Combinational Logic Using VHDL Processes -- 17.4. Modeling a Sequential Machine -- 17.5. Synthesis of VHDL Code -- 17.6. More About Processes and Sequential Statements -- Problems -- Simulation Problems -- Unit 18 Circuits for Arithmetic Operations -- Objectives -- Study Guide -- 18.1. Serial Adder with Accumulator -- 18.2. Design of a Binary Multiplier -- 18.3. Design of a Binary Divider -- Programmed Exercises -- Problems -- Unit 19 State Machine Design with SM Charts -- Objectives -- Study Guide -- 19.1. State Machine Charts -- 19.2. Derivation of SM Charts -- 19.3. Realization of SM Charts -- Problems -- Unit 20 VHDL for Digital System Design -- Objectives -- Study Guide -- 20.1. VHDL Code for a Serial Adder -- 20.2. VHDL Code for a Binary Multiplier -- 20.3. VHDL Code for a Binary Divider -- 20.4. VHDL Code for a Dice Game Simulator -- 20.5. Concluding Remarks -- Problems -- Lab Design Problems -- A. Appendices -- A. MOS and CMOS Logic -- B. VHDL Language Summary -- C. Tips for Writing Synthesizable VHDL Code -- D. Proofs of Theorems -- E. Answers to Selected Study Guide Questions and Problems.

Updated for this 7th edition, this text achieves a balance between theory and application. It presents the theory that is necessary for understanding the fundamental concepts of logic design while not overwhelming students with the mathematics of switching theory.

College of Engineering and Computer Studies

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