Table of Contents
CS302: Digital Logic & Design Handouts
Course Category: Computer Science/Information Technology
An overview and number systems, Number systems and codes, Logic gates, Digital circuits, and operational characteristics, Boolean algebra and logic simplification, Karnaugh map and Boolean expression simplification, Comparator, Odd-Prime Number detector, Implementation of an odd-parity generator circuit, BCD adder, 16-bit ALU, the 74xx138 3-to-8 decoder, 2-input 4-bit multiplexer, Demultiplexer, Implementing constant 0s and 1s, the gal16v8, Abel input file of a quad 1-of-4 MUX, Application of S-R Latch, Flip-Flops, The 555 Timer, Up-Down counter, Digital Clock, Shift Registers, Memory, Analog to Digital Converters.
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CS302: Digital Logic & Design
Decimal Number system
The decimal number system has ten different digits 0, 1, 2, 3… 9. Using these numbers, ten different numbers can be represented. More than ten values can be represented by using the same digits of different combinations. Thus, ten represents the number 10, two hundred and seventy-five represented 275, etc. Therefore, the same set of numbers 0,1 2… 9 is repeated in the same order to represent larger numbers.
Binary Number System
The binary number system is one of four types of number systems. In computer systems, where binary numbers are represented by only two symbols or digits, i.e. 0 (zero) and 1 (one). Binary numbers here are shown in 2 basic number systems. For example, (101) 2 binary number. Each digit in this program is said to be small.
Advantages of working on Digital Domain
Digital information management offers a number of benefits. Some digital system validity is specified. Details of some of these features will be discussed and read in the Digital Logic Design course. Some features will be included in a few other lessons.
Digital archiving and processing is very effective:
Computers are very good at processing large amounts of information and data. Computers process digitally represented information in the form of Binary Numbers. Digital CDs store a large number of videos and audio clips. Sam’s number of audio and video clips when stored in the analog form will require a number of video and audio cassettes.
Digital data transfer is efficient and reliable:
Modern methods of transmitting information rely heavily on digital transmission due to your reliability as it is less likely to favor errors. Even if errors occur during the transfer process existing methods allow for quick detection and correction.
Identifying and correcting digital data errors:
Coding Theory is a platform dedicated to the use of digital codes that allow for the detection and correction of multibit errors. In the Digital Logic Design study, a simple way to find a single bit error using the Parity bit will be considered.
Data can be reproduced easily and accurately:
The picture quality and audio quality of digital videos are much higher than that of analogue videos. The reason is that digital video stored as digital numbers can be reproduced exactly while analogue video stored as a continuous signal cannot be reproduced with precision.
Digital systems are easy to design and use:
Digital Systems is based on the Binary Number System for two regions. As a result, Digital Circuitry is based on two electrical circuits, performing very simple tasks. Complex Microprocessors are operated using simple digital circuits. A few simple Digital programs will be discussed in the Digital Logic course.
Digital circuits take up less space:
Digital circuits are based on two logical regions. Electronic circuitry using these two circuits is very simple. Due to the simplicity of circuitry, it can be easily applied in a very small area. PC motherboard with an area of about 1 sq. M. ft has a lot of powerful computer cycle. A memory chip small enough to hold in the palm of your hand can hold an entire collection of books.
Digital Components and their internal functionality
The digital system processes binary information electronically through special circuits designed to manage digital information. These circuits, as mentioned earlier, operate on two voltages of +5 volts and 0 volts. These special electronic circuits are known as Logic Gates and are considered Basic Building Blocks for any Digital circuit. Logic Gates are widely used by AND gate, gate OR, and Inverter or NOT Gate. Other commonly used gates include NOR, NAND, XOR, and XNOR. Each of these gates is designed to perform a unique function of the input information known as the Sensible or Boolean function. CS302 HANDOUTS Digital Logic & Design Handouts CS302 HANDOUTS Digital Logic & Design Handouts
A large and sophisticated digital system like a computer is built using a combination of these basic Logic Gates. These building blocks are available in the form of Integrated Circuits or ICs. These gates are operated using standard CMOS and TTL technology that determines the operating characteristics of the gates such as power outages, operating voltages (3.3v or 5 v), frequency response, etc.