• Post category:StudyBullet-7
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The story of 0 and 1

What you will learn

Digital number systems

Binary Arithmetic

Boolean Algebra

Description

We are currently living in a modern era, where everyone’s life runs on electronic gadgets. We all are in need of smartphones and laptops to function in our day to day lives. Such gadgets need to be designed with atmost precision and accuracy, for it to satisfy its goal with better performance. This course is provided with an intention to help a beginner start his/her journey towards designing logic circuits and devices.

This course will guide you through the basics of digital system design, starting from scratch. We will cover the mathematics behind these designs and discuss about logic gates, that form the fundamental building blocks of digital design.

Detailed Course Structure:

  • Number Systems : Binary, Octal and Hexadecimal number systems
  • Number system conversions
  • Binary Arithmetic : Addition, Complements, Subtraction of signed binary numbers
  • Logic gates
  • Laws and Properties in Boolean Algebra
  • Simplifying boolean functions using the laws and properties of boolean algebra
  • Simplifying boolean functions using Karnaugh Map (2, 3 and 4 variables)

For this course, the textbook ” Digital Design” by Morris Mano has been referred to.


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Salient features:

  • Clean and crisp explanation of concepts.
  • Quizzes/ Checkpoints to self assess.
  • Examples provided for each concepts

Course Expectations:

  • Clear understanding of binary, octal and hexadecimal number systems and their interconversions
  • Ability to add, complement and subtract binary numbers
  • Understand the basic logic gates and their functions.
  • Frame and manipulate boolean equations

Happy Learning!!

English
language

Content

Introduction

Welcome!

Number systems

General equation of a number system
Number System Conversions : An Introduction
Conversion of Binary Numbers into Decimal Equivalent
Range of Binary Numbers
Conversion of Octal Numbers into Decimal Equivalent
Conversion of Hexadecimal Numbers into Decimal Equivalent
Conversion of Decimal Numbers into Binary Equivalent
Conversion of Decimal Numbers into Octal Equivalent
Conversion of Decimal Numbers into Hexadecimal Equivalent
Conversion of Binary Numbers into Octal Equivalents
Conversion of Binary Numbers into Hexadecimal Equivalents
Conversion of Octal Numbers into Hexadecimal Equivalents and vice-versa
Quiz 1 : Checkpoint : General Equation of Number Systems
Checkpoint : Conversions

Binary Arithmetic

Binary Addition
Complements
Binary Subtraction
Representing signed binary numbers
Checkpoint : Binary Arithmetic

Logic Gates

Logic gates and Boolean Algebra : An Introduction
Introducing logic gates and their depiction
NOT gate
AND gate
OR gate
Buffer gate
NAND and NOR gates
Exclusive-OR and Exclusive-NOR gates
Checkpoint : Logic Gates

Boolean Algebra

Introduction to Boolean Functions
Properties and Postulates
Proofs of Postulates
Basic Theorems
Principle of Duality
Proof of Involution law and Absorption Law
Complement of a Function
Algebraic Manipulation
Standard and Canonical forms – I
Standard and Canonical forms – II
Simplifying Boolean equations using laws and properties
2-variable Karnaugh Map
Solved Examples – 2 variable KMap
3-variable K-Map
4-variable K-Map
Solved Examples – 3 and 4 variable KMap
Checkpoint : Boolean Algebra
End of the Course : What to expect further?