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CHAPTER 1 Lecture Notes (ppt)

Chapter 1 - Digital Systems and Binary Numbers

1.1  Digital Systems

1.2  Binary Numbers

1.3  Number-base Conversions

1.4  Octal and Hexadecimal Numbers

1.5  Complements

1.6  Signed Binary Numbers

1.7  Binary Codes

1.8  Binary Storage and Registers

1.9  Binary Logic

On-line Quiz (Dean Johnson 2009 )
Chapter 1 - Digital Systems and Binary Numbers

Chapter 1 presents the various binary systems suitable for representing information in digital systems. The binary number system is explained and binary codes are illustrated. Examples are given for addition and subtraction of signed binary numbers and decimal numbers in binary‐coded decimal (BCD) format.

M. Morris. Mano, “Digital Design”.

CHAPTER 2 Lecture Notes (ppt)

2.1  Introduction

2.2  Basic Definitions
2.3  Axiomatic Definition of Boolean Algebra
2.4  Basic Theorems and Properties of Boolean Algebra
2.5  Boolean Functions
2.6  Canonical and Standard Forms
2.7  Other Logic Operations
2.8  Digital Logic Gates
2.9  Integrated Circuits
On-line Quiz 1 (Dean Johnson 2009 )
On-line Quiz 2 (Dean Johnson 2009 )
Chapter 2 - Boolean Algebra and Logic Gates

Chapter 2 introduces the basic postulates of Boolean algebra and shows the correlation between Boolean expressions and their corresponding logic diagrams. All possible logic operations for two variables are investigated, and the most useful logic gates used in the design of digital systems are identified. This chapter also introduces basic CMOS logic gates.

Chapter-2- Aditional Reading: Laws and Theorems of Boolean Algebra

Additional reading material for laws and theorems of Boolean algebra.

Summary of postulates.

CHAPTER 3 Lecture Notes (ppt)

3-1 The Map Method

Two-variable map and Three-variable map

3-2 Four-Variable Map

3-3 Five-variable Map

3-4 Product of Sums Simplification

3-5 Don’t-care Conditions

3-6 NAND and NOR Implementation

3-7 Other Two-Level Implementations

3-8 Exclusive-OR Function

3-9 Hardware Description Language (HDL)

On-line Quiz (Dean Johnson 2009 )
Karnaugh Map Explorer 2.0
Karnaugh map solver.
Chapter-3-Gate Level Minimisation
CHAPTER 4 Lecture Notes (ppt)

4.1  Introduction

4.2  Combination Circuits
4.3  Analysis Procedure
4.4  Design Procedure
4.7  Binary Multiplier
4.8  Magnitude Comparator
4.9  Decoders
4.10  Encoders
4.11  Multiplexers
Online quiz (Dean Johnson 2009 )
Online Quiz (Dr. Dean Johnson)
Chapter-4-Combinational Logic

This chapter outlines the formal procedures for the analysis and design of combinational circuits. Some basic components used in the design of digital systems, such as adders and code converters, are introduced as design examples. Frequently used digital logic functions such as parallel adders and subtractors, decoders, encoders, and multiplexers are explained, and their use in the design of combinational circuits is illustrated. HDL examples are given in gate‐level, dataflow, and behavioral models to show the alternative ways available for describing combinational circuits in Verilog HDL. The procedure for writing a simple test bench to provide stimulus to an HDL design is presented.

CHAPTER 5 Lecture Notes (ppt)

5.1       Introduction

5.2       Sequential Circuits

5.3       Storage Element: Latches

5.4       Storage Element: Flip-Flops

5.5       Analysis of Clocked Sequential Circuits

5.7       State Reduction and Assignment

5.8       Design Procedure

Online Quiz (Dr. Dean Johnson)
Chapter 5 Synchronous Sequential Logic

This chapter outlines the formal procedures for analysing and designing clocked (synchronous) sequential circuits. The gate structure of several types of flip‐flops is presented together with a discussion on the difference between level and edge triggering. Specific examples are used to show the derivation of the state table and state diagram when analysing a sequential circuit. A number of design examples are presented with emphasis on sequential circuits that use D‐type flip‐flops.

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