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# ch1 - INTRODUCTION TO DIGITAL SYSTEMS DESCRIPTION AND...

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1 INTRODUCTION TO DIGITAL SYSTEMS DESCRIPTION AND DESIGN OF DIGITAL SYSTEMS FORMAL BASIS: SWITCHING ALGEBRA IMPLEMENTATION: MODULES (ICs) AND NETWORKS IMPLEMENTATION OF ALGORITHMS IN “HARDWARE” COURSE EMPHASIS: CONCEPTS, ANALYSIS AND DESIGN Follow-on courses: – Digital Lab – Computer Architecture – Computer Architecture Lab – Digital Design - Advanced Topics Introduction to Digital Systems 1 – Introduction

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2 OVERVIEW WHAT IS A DIGITAL SYSTEM? HOW IT DIFFERS FROM AN ANALOG SYSTEM? WHY ARE DIGITAL SYSTEMS IMPORTANT? BASIC TYPES OF DIGITAL SYSTEMS: COMBINATIONAL AND SEQUENTIAL SPECIFICATION AND IMPLEMENTATION OF DIGITAL SYSTEMS ANALYSIS AND DESIGN OF DIGITAL SYSTEMS DESIGN PROCESS AND CAD TOOLS Introduction to Digital Systems 1 – Introduction
3 WHAT IS DIGITAL DIGITAL SYSTEMS – inputs and outputs: finite number of discrete values ANALOG SYSTEMS – inputs and output values from a continuous (infinite) set Example: digital vs. analog scale for measuring weights MAIN USE OF DIGITAL SYSTEMS: INFORMATION PROCESSING (text, audio, visual, video) TRANSMISSION (communication) STORAGE Introduction to Digital Systems 1 – Introduction

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4 SYSTEM AND SIGNALS z(t) x(t) 0 1 2 3 4 5 6 7 (c) t 1 2 3 4 5 6 7 x(t) z(t) t 0 1 2 3 4 5 6 7 2 3 2 5 4 5 3 3 5 4 7 7 6 6 2 4 (d) x,z x S z (a) x,z z(t) x(t) t (b) Figure 1.1: System S: a) Block diagram. b) Analog I/O signals. c) Digital I/O signals. d) I/O sequence pair. Introduction to Digital Systems 1 – Introduction
5 WHY DIGITAL 1. FOR BOTH NUMERICAL AND NONNUMERICAL INFORMATION PROCESSING 2. INFORMATION PROCESSING CAN USE A GENERAL-PURPOSE SYSTEM (a computer ) 3. DIGITAL REPRESENTATION: – vector of signals with just two values ( binary signals ) Example: digit 0 1 2 3 4 5 6 7 8 9 vector 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 – All signals binary – Simple devices to process binary signals: (SWITCHES with two STATES: open and closed). Introduction to Digital Systems 1 – Introduction

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6 WHY DIGITAL (cont.) 4. DIGITAL SIGNALS INSENSITIVE TO VARIATIONS OF COMPONENT PA- RAMETER VALUES Signal Value 0 1 2 Time Figure 1.2: Separation of digital signal values.
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ch1 - INTRODUCTION TO DIGITAL SYSTEMS DESCRIPTION AND...

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