Introduction To Digital System Design

Combinational and Sequential Circuits Design and Analysis

What you'll learn

Be able to describe and use a variety of digital circuit components

Be able to design and model digital combinational systems

Be able to design and Analysis digital sequential systems

Be able to use different digital components to design a system

Be able to understand the basic concept of logic gates and design of circuits.

Learn the basic concept of K- Map and simplification methods.

Requirements

You will learn everything you need to know.

Description

This course introduces the basic concepts of digital systems, such as number systems, boolean algebra, logic networks and their simplification, canonical forms, combinatorial circuits, adders, decoders, encoders, multiplexers, flip-flops, sequential circuit analysis and design, registers, counters, memory and programmable logic.This course is designed to teach students how to design a digital logic circuit to perform a specific desired function. This course will give students a much better understanding of how the internals of a computer work. so our course aims to teach students the fundamentals of digital logic design. Starting from learning the basic concepts of the different base number systems ( Binary - Decimal - Hexadecimal ) and their Conversions to basic logic elements and deriving logical expressions to optimize a circuit diagram further. Also, This course is structured in such a way that each section is dedicated to a specific topic in regards to digital electronics and Logic Design. Each section of the lecture describes the different tools and techniques used to design digital logic circuits.There are assignments and Exercises throughout this course that students can use to put the theory taught to practical use.After completing this course, you'll be able to1. Understand all the fundamentals of number systems and perform conversions between them.2. Function of logic circuits and how to design them.3. Classify Combinational Logic and Sequential Logic.4. How to design a combinational logic circuit for a given scenario with the minimum number of gates possible.5. Use all the standard techniques to minimize the logic gate requirements6. Design sequential logic circuits like Counters and Shift Registers using Flip flops.7. Understand the workings of various flip flops and latches and highlight the differences between them.

Overview

Section 1: Introduction, Number Systems, Binary Numbers

Lecture 1 Introduction to Digital Systems

Lecture 2 Numbers in different Bases: Binary, Octal, Hexadecimal

Lecture 3 Signed Numbers in Binary Representation

Lecture 4 BCD, Excess-3 and 8,4,-2,-1 Codes

Lecture 5 Quiz Solution - Radix Conversions

Section 2: Logic Gates and Boolean Algebra

Lecture 6 Logical Gates (Nand, Nor, Xor and Buffer)

Lecture 7 Truth Table

Lecture 8 Logical Gates, Boolean Algebra and Truth Table (Part 1)

Lecture 9 Quiz Solution: Convert Boolean Expressions to SOP

Section 3: Gate-level minimization

Lecture 10 Fundamental of Karnaugh Map

Lecture 11 Three and Four Variable Karnaugh maps with Examples

Lecture 0 Five Variable Karnaugh map with Examples

Lecture 12 Two and Three Variables Karnaugh Maps with Examples

Lecture 13 Standard Forms of Boolean Expressıon

Lecture 14 Sum of Minterms & Product of Maxterms Form

Lecture 15 Two and Three Variables Karnaugh Maps with Examples

Lecture 16 Three and Four Variable Karnaugh Maps with Examples

Section 4: Combinational logic design

Lecture 17 Combinational Logic Design - Hierarchical Design

Lecture 18 Combinational Circuit Design with an Example: Binary Comparator

Lecture 19 Combinational Design Examples: BCD to Excess-3 and BCD to 7-Segment Converters

Lecture 20 Quiz Solution: Implement a Function with 3×8 Decoder + OR Gate

Lecture 21 Decoders

Lecture 22 Encoders: Octal to Bınary Encoder and Priority Encoder

Lecture 23 Multiplexers

Lecture 24 Design a 4x16 Decoder by Using Five 2x4 Decoders

Lecture 25 Quiz Solution: Multiplexer

Lecture 26 Design a 4x16 Decoder by Using Five 2x4 Decoders

Lecture 27 Excess-3 to Binary Decoder

Lecture 28 Combinational Circuit Example

Lecture 29 Quiz Solution - Multiplexer.mp4

Section 5: Arithmetic functions

Lecture 30 Arithmetic Functions and Circuits - Half Adder and Full Adder

Lecture 31 4-bit by 4-bit Multiplication Circuit

Lecture 32 4-bit Magnitude Comparator Circuit - Part 1

Lecture 33 4-bit Magnitude Comparator Circuit - Part 2

Section 6: Sequential Circuit Analysis & Design

Lecture 34 Sequential Circuits: Latches

Lecture 35 Sequential Circuits: Flip-Flops Variations (D-FF, T-FF, JK-FF)

Lecture 36 Sequential Circuit Analysis

Lecture 37 J-K flipflops Analysis Example

Lecture 38 JK Flip-flops Analysis

Lecture 39 Sequential Circuit Design

Section 7: Registers, Counters, and serial operations

Lecture 40 Registers

Lecture 41 Shift Registers

Lecture 42 Universal Shift Register

Lecture 43 Serial Adder by using Shift Registers

Lecture 44 Counters

Lecture 45 3-bit Counter with Two Operating Modes Example

Lecture 46 Ripple Counter Analysis Example

Lecture 47 Ripple Counter Analysis Example

Electrical and Electronics Students, Computer Engineering and Computer Science Students