Introduction to Digital Systems: Modeling, Synthesis, and Simulation Using VHDL
Mohammed Ferdjallah
Abstract
Mohammed Ferdjallah
Abstract
Preface. 1 Digital System Modeling and Simulation. 1.1 Objectives. 1.2 Modeling, Synthesis, and Simulation Design. 1.3 History of Digital Systems. 1.4 Standard Logic Devices. 1.5 Custom-Designed Logic Devices. 1.6 Programmable Logic Devices. 1.7 Simple Programmable Logic Devices. 1.8 Complex Programmable Logic Devices. 1.9 Field-Programmable Gate Arrays. 1.10 Future of Digital Systems. Problems. 2 Number Systems. 2.1 Objectives. 2.2 Bases and Number Systems. 2.3 Number Conversions. 2.4 Data Organization. 2.5 Signed and Unsigned Numbers. 2.6 Binary Arithmetic. 2.7 Addition of Signed Numbers. 2.8 Binary-Coded Decimal Representation. 2.9 BCD Addition. Problems. 3 Boolean Algebra and Logic. 3.1 Objectives. 3.2 Boolean Theory. 3.3 Logic Variables and Logic Functions. 3.4 Boolean Axioms and Theorems. 3.5 Basic Logic Gates and Truth Tables. 3.6 Logic Representations and Circuit Design. 3.7 Truth Table. 3.8 Timing Diagram. 3.9 Logic Design Concepts. 3.10 Sum-of-Products Design. 3.11 Product-of-Sums Design. 3.12 Design Examples. 3.13 NAND and NOR Equivalent Circuit Design. 3.14 Standard Logic Integrated Circuits. Problems. 4 VHDL Design Concepts. 4.1 Objectives. 4.2 CAD Tool Based Logic Design. 4.3 Hardware Description Languages. 4.4 VHDL Language. 4.5 VHDL Programming Structure. 4.6 Assignment Statements. 4.7 VHDL Data Types. 4.8 VHDL Operators. 4.9 VHDL Signal and Generate Statements. 4.10 Sequential Statements. 4.11 Loops and Decision-Making Statements. 4.12 Subcircuit Design. 4.13 Packages and Components. Problems. 5 Integrated Logic. 5.1 Objectives. 5.2 Logic Signals. 5.3 Logic Switches. 5.4 NMOS and PMOS Logic Gates. 5.5 CMOS Logic Gates. 5.6 CMOS Logic Networks. 5.7 Practical Aspects of Logic Gates. 5.8 Transmission Gates. Problems. 6 Logic Function Optimization. 6.1 Objectives. 6.2 Logic Function Optimization Process. 6.3 Karnaugh Maps. 6.4 Two-Variable Karnaugh Map. 6.5 Three-Variable Karnaugh Map. 6.6 Four-Variable Karnaugh Map. 6.7 Five-Variable Karnaugh Map. 6.8 XOR and NXOR Karnaugh Maps. 6.9 Incomplete Logic Functions. 6.10 Quine McCluskey Minimization. Problems. 7 Combinational Logic. 7.1 Objectives. 7.2 Combinational Logic Circuits. 7.3 Multiplexers. 7.4 Logic Design with Multiplexers. 7.5 Demultiplexers. 7.6 Decoders. 7.7 Encoders. 7.8 Code Converters. 7.9 Arithmetic Circuits. Problems. 8 Sequential Logic. 8.1 Objectives. 8.2 Sequential Logic Circuits. 8.3 Latches. 8.4 Flip-Flops. 8.5 Registers. 8.6 Counters. Problems. 9 Synchronous Sequential Logic. 9.1 Objectives. 9.2 Synchronous Sequential Circuits. 9.3 Finite-State Machine Design Concepts. 9.4 Finite-State Machine Synthesis. 9.5 State Assignment. 9.6 One-Hot Encoding Method. 9.7 Finite-State Machine Analysis. 9.8 Sequential Serial Adder. 9.9 Sequential Circuit Counters. 9.10 State Optimization. 9.11 Asynchronous Sequential Circuits. Problems. Index.
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Preface. 1 Digital System Modeling and Simulation. 1.1 Objectives. 1.2 Modeling, Synthesis, and Simulation Design. 1.3 History of Digital Systems. 1.4 Standard Logic Devices. 1.5 Custom-Designed Logic Devices. 1.6 Programmable Logic Devices. 1.7 Simple Programmable Logic Devices. 1.8 Complex Programmable Logic Devices. 1.9 Field-Programmable Gate Arrays. 1.10 Future of Digital Systems. Problems. 2 Number Systems. 2.1 Objectives. 2.2 Bases and Number Systems. 2.3 Number Conversions. 2.4 Data Organization. 2.5 Signed and Unsigned Numbers. 2.6 Binary Arithmetic. 2.7 Addition of Signed Numbers. 2.8 Binary-Coded Decimal Representation. 2.9 BCD Addition. Problems. 3 Boolean Algebra and Logic. 3.1 Objectives. 3.2 Boolean Theory. 3.3 Logic Variables and Logic Functions. 3.4 Boolean Axioms and Theorems. 3.5 Basic Logic Gates and Truth Tables. 3.6 Logic Representations and Circuit Design. 3.7 Truth Table. 3.8 Timing Diagram. 3.9 Logic Design Concepts. 3.10 Sum-of-Products Design. 3.11 Product-of-Sums Design. 3.12 Design Examples. 3.13 NAND and NOR Equivalent Circuit Design. 3.14 Standard Logic Integrated Circuits. Problems. 4 VHDL Design Concepts. 4.1 Objectives. 4.2 CAD Tool Based Logic Design. 4.3 Hardware Description Languages. 4.4 VHDL Language. 4.5 VHDL Programming Structure. 4.6 Assignment Statements. 4.7 VHDL Data Types. 4.8 VHDL Operators. 4.9 VHDL Signal and Generate Statements. 4.10 Sequential Statements. 4.11 Loops and Decision-Making Statements. 4.12 Subcircuit Design. 4.13 Packages and Components. Problems. 5 Integrated Logic. 5.1 Objectives. 5.2 Logic Signals. 5.3 Logic Switches. 5.4 NMOS and PMOS Logic Gates. 5.5 CMOS Logic Gates. 5.6 CMOS Logic Networks. 5.7 Practical Aspects of Logic Gates. 5.8 Transmission Gates. Problems. 6 Logic Function Optimization. 6.1 Objectives. 6.2 Logic Function Optimization Process. 6.3 Karnaugh Maps. 6.4 Two-Variable Karnaugh Map. 6.5 Three-Variable Karnaugh Map. 6.6 Four-Variable Karnaugh Map. 6.7 Five-Variable Karnaugh Map. 6.8 XOR and NXOR Karnaugh Maps. 6.9 Incomplete Logic Functions. 6.10 Quine McCluskey Minimization. Problems. 7 Combinational Logic. 7.1 Objectives. 7.2 Combinational Logic Circuits. 7.3 Multiplexers. 7.4 Logic Design with Multiplexers. 7.5 Demultiplexers. 7.6 Decoders. 7.7 Encoders. 7.8 Code Converters. 7.9 Arithmetic Circuits. Problems. 8 Sequential Logic. 8.1 Objectives. 8.2 Sequential Logic Circuits. 8.3 Latches. 8.4 Flip-Flops. 8.5 Registers. 8.6 Counters. Problems. 9 Synchronous Sequential Logic. 9.1 Objectives. 9.2 Synchronous Sequential Circuits. 9.3 Finite-State Machine Design Concepts. 9.4 Finite-State Machine Synthesis. 9.5 State Assignment. 9.6 One-Hot Encoding Method. 9.7 Finite-State Machine Analysis. 9.8 Sequential Serial Adder. 9.9 Sequential Circuit Counters. 9.10 State Optimization. 9.11 Asynchronous Sequential Circuits. Problems. Index.
Key concepts: VHDL, Computer science, Truth table, Register-transfer level, Digital electronics, Logic synthesis, Arithmetic, Programming language