Author Charles H. Roth, Jr. carefully presents the theory that is necessary for understanding the fundamental concepts of logic design while not overwhelming students with the mathematics of switching theory.
Divided into 20 easy-to-grasp study units, the book covers such fundamental concepts as Boolean algebra, logic gates design, flip-flops, and state machines. By combining flip-flops with networks of logic gates, students will learn to design counters, adders, sequence detectors, and simple digital systems. After covering the basics, this text presents modern design techniques using programmable logic devices and the VHDL hardware description language.
Digital Systems and Switching Circuits. Number Systems and Conversion. Binary Arithmetic. Representation of Negative Numbers. Binary Codes.
2. BOOLEAN ALGEBRA.
Introduction. Basic Operations. Boolean Expressions and Truth Tables. Basic Theorems. Commutative, Associative, and Distributive Laws. Simplification Theorems. Multiplying Out and Factoring. DeMorgan’s Laws.
3. BOOLEAN ALGEBRA (CONTINUED).
Multiplying Out and Factoring Expressions. Exclusive-OR and Equivalence Operations. The Consensus Theorem. Algebraic Simplification of Switching Expressions. Proving Validity of an Equation.
4. APPLICATIONS OF BOOLEAN ALGEBRA: MINTERM AND MAXTERM EXPRESSIONS.
Conversion of English Sentences to Boolean Equations. Combinational Logic Design Using a Truth Table. Minterm and Maxterm Expansions. General Minterm and Maxter m Expansions. Incompletely Specified Functions. Examples of Truth Table Construction. Design of Binary Adders.
5. KARNAUGH MAPS.
Minimum Forms of Switching Functions. Two- and Three-Variable Karnaugh Maps. Four-Variable Karnaugh Maps. Determination of Minimum Expressions Using Essential Prime Implicants. Five-Variable Karnaugh Maps. Other Uses of Karnaugh Maps. Other Forms of Ka rnaugh Maps.
6. QUINE-McCLUSKY METHOD.
Determination of Prime Implicants. The Prime Implicant Chart. Petrick’s Method. Simplification of Incompletely Specified Functions. Simplification Using Map-Entered Variables. Conclusion.
7. MULTI-LEVEL GATE CIRCUITS: NAND AND NOR GATES.
Multi-Level Gate Circuits. NAND and NOR Gates. Design of Two-Level Circuits Using NAND and NOR �Gates. Design of Multi-Level NAND and NOR Gate Circuits. Circuit Conversion Using Alternative Gate Symbols. Design of Two-Level, Multiple-Output Circuits Determination of Essential Prime Implicants for Multiple-Output Realization. Multiple-Output NAND and NOR Circuits.
8. COMBINATIONAL CIRCUIT DESIGN AND SIMULATION USING GATES.
Review of Combinational Circuit Design. Design of Circuits with Limited Gate Fan-In. Gate Delays and Timing Diagrams. Hazards in Combinational Logic. Simulation and Testing of Logic Circuits.
9. MULTIPLEXERS, DECODES, AND PROGRAMMABLE LOGIC DEVICES.
Introduction. Multiplexers. Three-State Buffers. Decoders and Encoders. Read-Only Memories. Programmable Logic Devices. Complex Programmable Logic Devices. Field Programmable Gate Arrays.
10. INTRODUCTION TO VHDL.
VHDL Description of Combinational Circuits. VHDL Models for Multiplexers. VHDL Modules. Signals and Constants. Arrays. VHDL Operators. Packages and Libraries. IEEE Standard Logic. Compilation and Simulation of VHDL Code.
11. LATCHES AND FLIP-FLOPS.
Introduction. Set-Reset Latch. Gated D Latch. Edge-Triggered D Flip-Flop. S-R Flip-Flop. J-K Flip-Flop. T Flip-Flop. Flip-Flops with Additional Inputs. Summary.
12. REGISTERS AND COUNTERS.
Registers and Register Transfers. Shift Registers. Design of Binary Counters. Counters for Other Sequences. Counter Design Using S-R and J-K Flip-XFlops. Derivation of Flip-Flop Input Equations-Summary.
13. ANALYSIS OF CLOCKED SEQUENTIAL CIRCUITS.
A Sequential Parity Checker. Analysis by Signal Tracing and Timing Charts. State Tables and Graphs. General Models for Sequential Circuits.
14. DERIVATION OF STATE GRAPHS AND TABLES.
Design of a Sequence Detector. More Complex Design Problems. Guidelines for Construction of State Graphs. Serial Data Code Conversion. Alphanumeric State Graph Notation.
15. REDUCTION OF STATE TABLES STATE ASSIGNMENT.
Elimination of Redundant States. Equivalent States. Determination of State Equivalence Using an Implication Table. Equivalent Sequential Circuits. Incompletely Specified State Tables. Derivation of Flip-Flop Input Equations. Equivalent State Assignments. Guidelines for State Assignment. Using a One-Hot State Assignment .
16. SEQUENTIAL CIRCUIT DESIGN.
Summary of Design Procedure for Sequential Circuits. Design Example-Code Converter. Design of Iterative Circuits. Design of Sequential Circuits Using ROMs and PLAs. Sequential Circuit Design Using CPLDs. Sequential Circuit Design Using FPGAs. Simulation and Testing of Sequential Circuits. Overview of Computer-Aided Design.
17. VHDL FOR SEQUENTIAL LOGIC.
Modeling Flip-Flops Using VHDL Processes. Modeling Registers and Counters Using VHDL Processes. Modeling Combinational Logic Using VHDL Processes. Modeling a Sequential Machine. Synthesis of VHDL Code. More About Processes and Sequential Statements.
18. CIRCUITS FOR ARITHMETIC OPERATIONS.
Serial Adder with Acucmulator. Design of a Parallel Multiplier. Design of a Binary Divider.
19. STATE MACHINE DESIGN WITH SM CHARTS.
State Machine Charts. Derivation of SM Charts. Realization of SM Charts.
20. VHDL FOR DIGITAL SYSTEM DESIGN.
VHDL Code for a Serial Adder. VHDL Code for a Binary Multiplier. VHDL Code for a Binary Divider. VHDL Code for a Dice Game Simulator. Concluding Remarks.