Boolean Algebra and Logic Gates - In Digital Electronics

Boolean Algebra and Logic Gates - by Sarita's Teachdesk - is the building blocks of digital electronics and computing. This course on Boolean Algebra and Logic Gates for Beginners will cover fundamental concepts.

Boolean Algebra and Logic Gates by Sarita's Teachdesk.  In this lecture on Number System it covers Decimal, Binary, Octal, Hexadecimal - Number System in brief.

Master the basics of 0s and 1s — learn how binary values power Boolean Algebra and digital logic

Boolean Algebra and Logic Gates - Understand how logical functions and expressions shape digital logic and simplify circuit design.
Logical operators are fundamental symbols or keywords used to perform logical operations on boolean (true or false) values, and their results are also boolean values.

Boolean Algebra - Learn how truth tables make logic simple by showing every possible outcome of 0s and 1s. Truth Tables are essential for understanding Boolean Algebra.

Logical Operators in Boolean Algebra and Logic Gates.
Logical Operators  - NOT, AND, OR - are essential for combining, modifying, or evaluating conditions

Boolean Algebra and Logic Gates by Sarita's Teachdesk  - the lecture on Logical NOT Operator gives details of NOT Operator

The Logical AND Operator is one of the most important building blocks in Boolean Algebra and Logic Gates.
In this lecture, you’ll learn how AND operations work, explore their truth tables.

The Logical OR Operator is one of the most important building blocks in Boolean Algebra and Logic Gates.
In this lecture, you’ll learn how OR operations work, explore their truth tables.

Master the step-by-step process of solving Boolean Expressions using Truth Table  to simplify digital logic

Creation of Truth Table Details

Evaluation of Boolean Expressions  Example 1

Evaluation of Boolean Expressions  Example 2

Evaluation of Boolean Expressions  Example 3

Evaluation of Boolean Expressions  Example 4

Evaluation of Boolean Expressions  Example 5

Evaluation of Boolean Expressions  Example 6

Evaluation of Boolean Expressions  Example 7

Evaluation of Boolean Expressions  Example 8

Logic Gates – in Boolean Algebra by Sarita’s Teachdesk.
In this lecture on Logic Gates - Discover how Basic Logic Gates form the building blocks of all digital circuits

Basic Logic Gates and its types. Learn the essential logic gates that form the foundation of every digital circuit.
Logic Gates are the basic building blocks of digital electronics and Boolean Algebra. In this lecture, you’ll explore all the fundamental gates — AND, OR, NOT— with their truth tables, Boolean expressions

Introduction to Logic Gates - NOT

Boolean Algebra and Logic Gates by Sarita's Teachdesk - the lecture on - Logical  OR  Gates - has brief introduction  about OR Gate.

Introduction to Logic Gates - AND

Derived Gates are advanced forms of logic gates created by combining the basic gates — AND, OR, and NOT. In this lecture, you’ll explore NAND, NOR, XOR, and XNOR gates in depth, including their truth tables, Boolean expressions

Introduction to Logic Gates - NOR

Introduction to Logic Gates - NAND

Introduction to Logic Gates - XOR

In this lecture, we dive into the XNOR Gate (Exclusive-NOR)

Universal Gates Details. Understand the concept of Universal Gates in Boolean Algebra

Logic Gate Summary - Quickly recap all logic gates—the building blocks of digital electronics—in one place

Understand the core rules of Boolean Algebra that power digital logic and circuit design.
The Basic Postulates of Boolean Algebra define the core rules for simplifying and analyzing Boolean Expressions.
In this lecture, we cover essential laws such as the idempotence law,  complementary law

Principle of Duality

Basic Theorems of Boolean Algebra - Introduction

Learn the Properties of Zero and One in Boolean Algebra and Logic Gates with simple rules, examples, and digital circuit applications.
By applying rules such as
A + 0 = A,
A ⋅ 1 = A,
A + 1 = 1, and
A ⋅ 0 = 0,
students can simplify Boolean expressions and optimize logic gate circuits.

These properties help in designing efficient digital circuits and are essential in computer science, electronics, and AI applications

Idempotence Law  Introduction

Complementary Law Introduction

Involution Law Introduction

Boolean Algebra and Logic Gates by Sarita's Teachdesk - the lecture on Commutative Law - has brief introduction to Commutative Law.
Understand the Commutative Law in Boolean Algebra with clear rules, examples

Associative Law Introduction

Few More Laws

Boolean Algebra and Logical Gates - by Sarita's Teachdesk  - Summary of Theorems covered in this session.
The downloadable material contains notes on Boolean Theorems of Boolean Algebra

Learn DeMorgan’s Theorem to easily simplify complex logic expressions

De Morgan First Theorem

De Morgan Second Theorem

DeMorgan Theorem Application

Grasp how Boolean Expressions and functions form the language of digital logic

Examples of Simplification of Boolean Algebra

Derivation of Boolean Expression

Conversion of Binary Number to Decimal Number - explained with examples.
As knowledge of same is needed in next part of session.

Master Minterms—the key to expressing Boolean Functions step by step.

Master Maxterms—the key to expressing Boolean Functions step by step.

Concepts of Both Minterm and Maxterm - Compare

Canonical Expressions - Introduction
In this lecture, we explore Canonical Expressions in Boolean Algebra, including the Sum of Products (SOP) and Product of Sums (POS) forms.

Non SOP Form to Standard SOP Form

Non POS Form to Standard POS Form

Master Karnaugh Maps to Simplify Boolean Expressions with ease and clarity.
A K-Map (Karnaugh Map) is a visual method used in Boolean algebra and digital logic design to simplify Boolean Expressions.
Karnaugh Maps (K-Maps) are a powerful tool for simplifying Boolean Expressions

Gray Code explained in very brief.
Conversion from Binary to Gray Code explained.
Gray Code is a special binary numeral system where only one bit changes at a time, making it vital for digital systems, encoders, and error minimization in circuit design.
In this lecture, you’ll learn binary to Gray Code conversion

Draw KMap for SOP Expression

KMap Minterm Grouping. Dive into minterms and maxterms, the canonical forms of Boolean expressions. Learn how they form the basis of truth tables, circuit representation, and digital logic simplification

Reduction of terms in KMap for SOP form

Grouping and Reduction of Minterms for PAIR in SOP

Grouping and Reduction of Minterms for QUAD in SOP

Grouping and Reduction of Minterms for OCTET in SOP

Summary of Pair, Quad, Octet

K-Map Simplify Steps for SOP form
The Karnaugh Map (K-Map) is a visual technique for simplifying Boolean expressions and minimizing digital circuits.
In this section, you’ll learn how to construct K-Maps, group minterms, and derive minimal SOP and POS forms. Mastering K-Maps helps in designing efficient logic circuits, digital systems, and combinational logic implementations.

SOP form reduction using KMap

Draw KMap for Maxterms in POS

Rules Grouping for Maxterm in POS Form

Summary of Reduction Rule in KMap for POS Form

K-Map  Simplify POS
The POS (Product of Sums) form is an essential representation in Boolean Algebra and digital electronics. Using the Karnaugh Map (K-Map), students can simplify Boolean Expressions into minimal POS form, reducing the complexity of logic circuits.
This technique is widely applied in circuit representation, truth table conversions, and combinational logic design.
Logic Gates for Beginners: SOP/POS, K-Map, Boolean Simplification

KMap POS Form Example