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Digital Electronics and Logic Design Full Course - Boolean Algebra, Logic Gates, K-Maps and Circuits

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Overview

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Master digital electronics fundamentals through this comprehensive course covering Boolean algebra, logic gates, Karnaugh maps, and combinational circuits. Explore essential topics including basic Boolean operations, De Morgan's laws, universal logic gates (NAND and NOR), and expression simplification techniques using both Sum of Products (SOP) and Product of Sums (POS) methods. Learn systematic approaches to circuit design through K-map simplification for 2, 3, and 4-variable problems, including don't care conditions. Dive into combinational circuit analysis with detailed coverage of adders (half and full), subtractors, multiplexers, demultiplexers, encoders, and decoders, complete with truth tables and circuit diagrams. Study sequential circuits including flip-flops, latches, clock triggering techniques, and counter designs. Practice with numerous solved examples, numerical problems, and step-by-step circuit construction methods. Gain proficiency in Hamming code error detection and correction, priority encoders, and various encoding schemes from decimal to BCD, octal to binary, and hexadecimal to binary conversions. Perfect for computer science, electronics engineering, and IT students preparing for university examinations, GATE fundamentals, or technical interviews requiring solid understanding of digital system design principles.

Syllabus

Introduction to Boolean Algebra & Digital Systems & Circuits
Basic Boolean Algebraic Operations | OR - AND - NOT operations
Laws of Boolean Algebra - Part 1 | Boolean Algebra & Logic Gates
Laws of Boolean Algebra - Part 2 | Boolean Algebra & Logic Gates
De Morgan's Laws / Theorems | Boolean Algebra & Logic Gates
Basic Logic Gates - OR | AND | NOT | XOR gates | Boolean Algebra
XNOR Gate in Boolean Algebra with Truth Table and Equation
Universal Logic Gates - NOR gate | Boolean Algebra & Logic Gates
Universal Logic Gates - NAND gate | Boolean Algebra & Logic Gates
Sum Of Products - SOP | Boolean Algebra & Logic Gates
Product Of Sums - POS | Boolean Algebra & Logic Gates
Minterms(SOP) & Maxterms(POS) | Boolean Algebra
Boolean Agebra Numerical - Expression Simplification - Truth Table - Circuit Design
Boolean Agebra Numerical - Prove LHS = RHS
Boolean Agebra Numerical - Minterms(SOP) & Maxterm(POS) Equation Forming
Karnaugh Maps | K-Maps - Boolean Algebra
K-map Numerical with 3 Variable SOP Boolean Expresson | Boolean Algebra
4 - Variable K-Map Problem with SOP Expressions | Boolean Algebra
4 - Variable K-Map Problem with Don't Care Condition | Boolean Algebra
K-map Problem with 3 Variable POS Boolean Expresson | Boolean Algebra
Half Adder Combinational Circuit | Boolean Algebra & Logic Gates
Full Adder Combinational Circuit | Boolean Algebra & Logic Gates
Half Subtractor | Truth Table, Logic Gates & Circuit in Digital Electronics
Full Subtractor Explained with Truth Table & Circuit Diagram |4-Bit Ripple Borrow Subtractor Example
4 : 1 Multiplexer Combinational Logic Circuit | Boolean Algebra & Logic Gates
1 : 4 Demultiplexer Combinational Logic Circuit | Boolean Algebra & Logic Gates
Encoder and Decoder Combinational Circuits | 4 x 2 Encoder & 2 x 4 Decoder with Truth Table
Priority Encoder Digital Circuit with Truth Table & Circuit Diagram using K-Maps
Decimal to BCD Encoder Circuit with Truth Table & Circuit Diagram
Octal to Binary Encoder Circuit with Truth Table & Circuit Diagram
Hexadecimal to Binary Encoder Circuit with Truth Table & Circuit Diagram
Hamming Code Error Detection & Error Correction using Even Parity | 7-bit hamming code numerical
Sequential Circuits in Digital Electronics | Introduction & Types
Flip Flops & latches in Digital Electronics with Example of 1 Bit Memory Cell
SR Flip Flop | RS Flip Flop using NOR gate & NAND Gate with Truth Table & Circuit Diagrams
Clock in Digital Electronics | Clock Synchronization & Control in Sequential Circuits
Clock Triggering Techniques in Digital Electronics | Level Triggering & Edge Triggering
Clocked SR Flip Flop using NAND Gates with Truth Table and Circuit Diagram
Clocked D Flip Flop using NAND Gates with Truth Table and Circuit Diagram
Clocked JK flip flop using NAND gates with Truth Table and Circuit Diagram
Clocked T Flip Flop using NAND Gates with Truth Table and Circuit Diagram
Race Condition or Racing in Digital Circuits Explained in Detail
Master Slave JK Flip Flop | Flip Flops in Digital Electronics
Introduction to Counters in Digital Electronics | Part 1 - Theory
Introduction to Counters in Digital Electronics | Part 2 - Circuit Diagram & Clock Cycle Counting
3 Bit Asynchronous UP Counter using JK Flip Flops with Truth table & Clock Cycle Diagram

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