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Digital Electronics: Logic Design to VLSI
Rating: 3.0 out of 5(3 ratings)
8 students

Digital Electronics: Logic Design to VLSI

Master number systems, Boolean algebra, K-Maps, combinational & sequential circuits, flip-flops, counters & VLSI basics.
Last updated 6/2026
English

What you'll learn

  • Convert between binary, octal, hexadecimal, and BCD number systems and apply Gray code and complement arithmetic to digital circuit problems
  • Apply Boolean algebra laws, De Morgan's theorem, and SOP/POS canonical forms to analyse and simplify complex logic expressions
  • Minimise multi-variable Boolean functions using Karnaugh Maps with up to 4 variables, including don't-care conditions and circuit optimisation
  • Design and analyse combinational circuits including adders, subtractors, multiplexers, demultiplexers, encoders, decoders, and comparators
  • Analyse and design sequential circuits using SR, JK, D, and T flip-flops, including excitation tables, state diagrams, and master-slave configurations
  • Design registers and counters — shift registers, ripple counters, synchronous mod-N counters, ring counters — and verify self-starting sequences
  • Implement digital circuits practically using 7400-series ICs and free logic simulators, verifying truth tables and analysing circuit behaviour
  • Explain VLSI fundamentals — CMOS logic, MOSFET operation, and logic families — and relate digital design principles to VLSI implementation

Course content

7 sections37 lectures7h 20m total length
  • Introduction to Number System7:02
  • Number System Conversions12:37
  • Complement17:29
  • Codes27:08

Requirements

  • No prior knowledge of digital electronics or circuit design is required — this course starts from the very basics with number systems and logic gates
  • A basic understanding of high school mathematics — binary numbers, algebraic manipulation — is helpful but not mandatory; all relevant concepts are introduced in the course
  • A notebook and pen for drawing circuit diagrams and completing truth tables alongside the lectures; this significantly improves retention of the material
  • A willingness to work through solved examples step by step — digital logic design is a skill that develops through practice, and following along with circuit problems is essential

Description

This course takes you from the fundamentals of digital electronics all the way to the principles of VLSI design — in a single, structured learning path that requires no prior background in electronics.

Modern processors, FPGAs, embedded controllers, and every chip inside your phone rely on the same core concepts this course teaches. Understanding how digital systems work at the gate and circuit level is the entry point to careers in VLSI design, embedded systems, robotics, computer architecture, and competitive exams such as GATE, ESE, and PSU recruitments.

The course is structured as a complete progression from first principles to applied design:

  • Number systems and codes— binary, octal, hexadecimal, BCD, Gray code, and conversions between all systems

  • Boolean algebra— laws, theorems, De Morgan's theorem, SOP and POS canonical forms, and logic simplification

  • Logic gates— AND, OR, NOT, NAND, NOR, XOR, XNOR — truth tables, symbols, and universal gate implementations

  • Karnaugh Maps (K-Maps)— 2, 3, and 4-variable minimisation, grouping rules, don't-care conditions, and circuit optimisation

  • Combinational circuits— half adder, full adder, subtractor, multiplexers, demultiplexers, encoders, decoders, and comparators

  • Sequential circuits— SR, JK, D, and T flip-flops; race-around condition; master-slave configuration; characteristic equations and excitation tables

  • Registers and counters— shift registers, ripple counters, synchronous counters, modulus counters, ring counters, and self-starting sequences

  • VLSI fundamentals— introduction to CMOS logic, MOSFET operation, logic families, and how digital circuits are implemented at the silicon level


    The course is aligned with the GATE, ESE, and PSU digital electronics syllabus, making it equally useful for university students, working engineers refreshing their fundamentals, and competitive exam aspirants. Step-by-step explanations, solved examples, and circuit diagrams are used throughout.

Who this course is for:

  • Electronics & EE students: Undergraduate students in electronics, electrical engineering, or computer science who need a thorough, exam-ready foundation in digital electronics as part of their curriculum.
  • GATE / ESE / PSU aspirants: Competitive exam candidates preparing for GATE (ECE/EE/CS), ESE, or PSU recruitment examinations where digital electronics is a high-weightage subject requiring deep conceptual clarity.
  • Aspiring VLSI engineers: Students and fresh graduates targeting careers as VLSI design engineers, verification engineers, STA engineers, or physical design engineers who need strong digital fundamentals before specialising.
  • Embedded systems learners: Developers and hobbyists working with microcontrollers, FPGAs, or Arduino who want to understand the hardware logic layer beneath the software and build more robust digital systems.
  • Teachers & tutors: Educators teaching digital electronics who want a well-structured, syllabus-aligned reference covering all major topics with clear explanations and worked examples for classroom use.
  • Not for: Students looking for a course focused on analogue electronics, RF circuits, power electronics, or microcontroller programming — this course covers digital logic and VLSI fundamentals only.