
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.