Digital Circuits Foundations: Learn And Apply With Ease

Logic Gates, Combinational Circuits, Sequential Circuits, Karnaugh maps, Boolean Algebra

What you'll learn

Converting Decimal to Binary numbers and vice versa

Perform binary arithmetic operations

Building digital circuits using logic gates

Simplify circuits using Boolean algebra

Optimize digital circuits using Karnaugh maps

Building combinational digital circuits

Building sequential circuits

Requirements

basic algebra

Description

In this comprehensive course, you'll gain a solid foundation in digital circuits, starting with an introduction to the decimal and binary numbering systems. You'll learn how to perform binary arithmetic, a crucial skill for understanding digital logic. From there, we dive into the world of logic gates, where you'll explore how these fundamental building blocks operate and how to analyze their behavior in different circuits.Next, we move on to Boolean algebra, a powerful mathematical tool used to simplify and manipulate logic expressions. You'll also learn the process of standardization to convert logic expressions into standard forms like sum-of-products (SOP) and product-of-sums (POS). Following this, we introduce Karnaugh Maps (K-Maps), a visual technique to further simplify logic circuits, making them more efficient and easier to design.As the course progresses, you'll explore combinational logic circuits, which use logic gates to perform specific tasks without memory elements. Finally, the course wraps up with an introduction to sequential circuits, where memory elements come into play, and you'll learn how to design circuits with timing considerations. To ensure a straightforward and accessible learning experience, this course introduces all topics using two input variables. Once these concepts are well understood, they can be easily extended to handle multiple variables. Throughout the course, you'll apply these concepts to practical examples and simulations, ensuring you can confidently design and analyze digital circuits in real-world scenarios such as security and industrial safety systems and many other applications.Please note that students under the age of 18 may only access this course if a parent or guardian purchases and manages the account. All course materials are intended for adult supervision to ensure a guided and responsible learning experience for younger students.

Overview

Section 1: Introduction

Lecture 1 Introduction

Lecture 2 Course Learning Objectives

Lecture 3 Simulation tool used in the course

Section 2: Numbering Systems

Lecture 4 Decimal Numbering System

Lecture 5 Decimal Numbers Representation: Sum of Weights Method

Lecture 6 Binary Numbering System

Lecture 7 Converting a Binary Number to a Decimal Number: Sum of Weights Method

Lecture 8 Converting a Binary Number to a Decimal Number: Repetitive Division Method

Lecture 9 Counting in Binary using the Sum of Weights Method

Lecture 10 Converting a Decimal Number to Binary using the Sum of Weights Method

Lecture 11 Counting in Binary (A Systemic Approach)

Lecture 12 Binary Numbers Addition

Section 3: Simple Logic Gates & Digital Circuits

Lecture 13 Introduction to Logic Gates

Lecture 14 Binary Numbers and Voltage Levels

Lecture 15 The NOT Gate (Inverter)

Lecture 16 The AND Gate

Lecture 17 The OR Gate

Lecture 18 Practical Applications Design Process

Lecture 19 A Smart Home Lighting System Design I

Lecture 20 A Smart Home Lighting System Design II

Lecture 21 A Smart Home Lighting System Design III

Section 4: Complex Logic Gates

Lecture 22 The NAND Gate

Lecture 23 The NOR Gate

Lecture 24 The XOR and XNOR Gates

Lecture 25 Industrial Safety System Design I

Lecture 26 Industrial Safety System Simulation

Section 5: Boolean Algebra

Lecture 27 Boolean Algebra Basic Theorem

Lecture 28 Idempotent, Complementary, Involution and Commutative Laws

Lecture 29 Associative Laws

Lecture 30 First and Second Distributive Laws

Lecture 31 Demorgan's Theorem

Lecture 32 Industrial Safety System Optimization using Boolean Algebra

Lecture 33 Industrial Safety System Optimization using Boolean Algebra Simulation

Section 6: Standardizing Boolean Expressions

Lecture 34 Standard Logical Expressions, SOP and POS Introduction

Lecture 35 Categorizing Boolean Expressions

Lecture 36 Converting Boolean Expressions to a SOP I

Lecture 37 Converting Boolean Expressions to a SOP II

Lecture 38 Building a Truth Table using a SOP

Lecture 39 Getting a SOP expression from a Truth Table

Lecture 40 Building a Digital Circuit using a SOP expression

Lecture 41 A Security System Design

Lecture 42 Standard Product of Sums (POS)

Lecture 43 Building a Truth Table from a POS

Lecture 44 Creating a POS expression from a Truth Table

Lecture 45 Creating a Digital Circuit using a POS expression

Lecture 46 Choosing a SOP or a POS

Section 7: Karnaugh Maps (2 Variables Only)

Lecture 47 An Introduction of K-Maps

Lecture 48 Translating logical expressions to a K-map

Lecture 49 K-Maps Neighborhoods

Lecture 50 Simplifying Logical Expressions using a K-map

Section 8: Combinational Digital Circuits

Lecture 51 The Half Adder circuit

Lecture 52 Implementing Full Adders using Half Adders

Lecture 53 Simulation of Half Adders and Full Adders

Lecture 54 Encoders Our way to Talk to Digital Circuits

Lecture 55 Encoders Simulation

Lecture 56 Decoders, The Way Digital Circuits Talk to us

Lecture 57 Decoders Design I

Lecture 58 2X4 Decoders Design

Lecture 59 Implementing a Half Adder using a Decoder

Lecture 60 A Decoder Simulation

Lecture 61 A 7 Segment Decoder Design

Lecture 62 A 7 Segment Decoder Design II

Lecture 63 A 7 Segment Decoder Simulation

Lecture 64 The Multiplexer Circuit Design

Lecture 65 A 4X1 Multiplexer Design

Lecture 66 Multiplexer Circuit Simulation

Section 9: Sequential Circuits

Lecture 67 The SR Latch an Intro

Lecture 68 The SR Latch circuit Analysis

Lecture 69 The SR Latch Characteristics Table

Lecture 70 The SR Latch optimization to reduce power consumption

Lecture 71 Controlled (Gated) SR Latch

Lecture 72 The D Latch

Lecture 73 The Controlled D Latch

Lecture 74 The D Flip Flop

Lecture 75 The D Flip Flop Characteristics Table

Lecture 76 Synchronous Counter Design I

Lecture 77 Synchronous Counter Design II

Lecture 78 A Synchronous Counter Simulation

Section 10: Concluding Remarks

Lecture 79 Concluding Remarks

College and high school students who are studying digital circuits and seeking a clear, structured approach to learning the fundamentals.,Hobbyists and DIY enthusiasts interested in understanding the building blocks of digital electronics, whether for personal projects or expanding their knowledge.,Learners new to digital circuits who may feel overwhelmed by complex concepts and are looking for simplified, practical explanations.,Students taking a digital circuits course who want additional support to grasp difficult topics and need a more digestible approach.,Professionals or engineers seeking a quick refresher on digital circuit fundamentals to strengthen their foundational knowledge.