Digital System Learning Through Circuit Simulation

Number systems, logic gates, Boolean logic

What you'll learn

understanding of digital systems

Enables students to build and test logic circuits virtually.

Enhances conceptual clarity by allowing real-time interaction with digital components.

Strengthens circuit design skills

Requirements

Number systems

Description

Course Description:This course offers a foundational understanding of digital electronics, focusing on essential topics such as number systems, Boolean algebra, logic gates, and complements. Designed for beginners and electronics enthusiasts, the course begins by exploring various number systems including binary, octal, decimal, and hexadecimal, along with the techniques to convert values from one system to another. Learners will then dive into the principles of Boolean algebra, learning how to apply fundamental postulates, theorems, and DeMorgan’s laws to simplify logical expressions.A dedicated section on complements (1’s and 2’s, & 9's complement and 10's complements in r's and (r–1)’s) provides the tools needed for efficient binary arithmetic and error detection. As students progress, they will gain hands-on experience in understanding the operation of basic and universal logic gates (AND, OR, NOT, NAND, NOR, XOR, and XNOR), including their real-time implementation using simulation platforms like Tinkercad.By the end of the course, the learners will be equipped with the skills to analyze and design basic digital circuits, laying the groundwork for more advanced studies in digital system design and embedded systems. This course is ideal for engineering students, diploma holders, and self-learners seeking to strengthen their digital electronics fundamentals as well as circuit designing.

Overview

Section 1: Introduction

Lecture 1 Important of This course

Section 2: Conversion from one radix to other radix

Lecture 2 Conversion from one radix to other radix

Lecture 3 Conversions with examples

Section 3: Postulates and Theorems of Boolean Algebra

Lecture 4 Postulates and Theorems of Boolean Algebra

Lecture 5 Principle of Duality in Boolean Algebra

Section 4: DeMorgan's Theorem

Lecture 6 DeMorgan's Theorems

Lecture 7 Axiomatic_Boolean_Algebra

Section 5: radix Complements

Lecture 8 Complements

Section 6: r's Complements

Lecture 9 r's Complements

Lecture 10 subtraction using r's complements

Lecture 11 r's Complement and (r–1)'s Complement with examples

Section 7: simulation using tinkercad

Lecture 12 simulation using tinkercad introduction

Lecture 13 Logic Gates

Lecture 14 Logic Gates design

Lecture 15 Basic gates designing universal gates

Lecture 16 OR gate using NAND Gate

Lecture 17 OR Gate Using NOR Gate

Section 8: Special Logic gates using Universal Gates

Lecture 18 EX-OR and EX-NOR Gates

Section 9: K-map

Lecture 19 K-map and Gate minimization importance

Lecture 20 K-map Representation

Lecture 21 example of K-map

Lecture 22 Example of K-map with 3 variables

Lecture 23 K-map with 4 variables

Lecture 24 K-map simplification and realization with NAND-NAND & NOR-NOR

This course is intended for engineering students, hobbyists, and beginners who want to gain practical knowledge of digital systems through interactive simulations. It is especially valuable for learners seeking hands-on experience in logic circuit design without requiring physical hardware.