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Course overview
This course covers digital electronics from the ground up, starting with number systems and Boolean algebra, then moving into combinational circuit design, sequential logic, and finally registers and counters. Each module builds on the previous one, so students who complete the course can design and analyze combinational and sequential circuits, trace timing diagrams, and solve GATE-pattern problems confidently. The difficulty rises steadily: early modules require only arithmetic and basic logic, while later modules demand timing analysis and state machine reasoning.
Details
Target audience: Second-year B.Tech ECE students preparing for end-semester exams or GATE, who have completed basic circuit analysis.
Duration: 10 to 14 hours across 5 modules
Prerequisites
- Basic binary arithmetic
- Understanding of logic gate symbols and truth tables
- Familiarity with DC circuit concepts
Learning outcomes
- Convert numbers between binary, octal, hexadecimal, BCD, and Gray code without error
- Simplify Boolean expressions using K-maps for up to 4 variables, including don't care conditions
- Design and analyze adder, subtractor, multiplexer, and decoder circuits from truth tables
- Draw accurate timing diagrams for SR, D, JK, and T flip-flops given a clock and input sequence
- Design synchronous and ripple counters for a specified modulus
- Construct state tables and state diagrams for Mealy and Moore machines from a word description
- Solve GATE-level digital electronics questions within the expected time per question
Modules
Module 1: Number Systems and Boolean Algebra
Topics
- Binary, octal, and hexadecimal conversions
- BCD and Gray code
- Boolean postulates and theorems
- De Morgan's laws and duality
- Canonical SOP and POS forms
Article slugs
number-systems-conversionsboolean-algebra-theoremscanonical-forms-sop-pos
Lab slug: boolean-algebra-truth-table-lab
Module 2: Combinational Circuit Design
Topics
- K-map simplification for 2, 3, and 4 variables
- Quine-McCluskey method
- Half adder, full adder, and ripple carry adder
- Subtractors and BCD adder
- Multiplexers, demultiplexers, and encoders
Article slugs
karnaugh-map-simplificationadder-subtractor-circuitsmultiplexer-demultiplexer-design
Lab slug: combinational-circuit-simulation-lab
Module 3: Sequential Logic Fundamentals
Topics
- SR, D, JK, and T flip-flops
- Flip-flop excitation tables
- Master-slave flip-flop operation
- Timing diagrams and propagation delay
- Flip-flop conversion techniques
Article slugs
flip-flop-types-comparisonflip-flop-excitation-tablesmaster-slave-flip-flop
Lab slug: flip-flop-timing-lab
Module 4: Registers and Counters
Topics
- SISO, SIPO, PISO, and PIPO shift registers
- Ring counter and Johnson counter
- Ripple and synchronous counters
- Modulo-N counter design
- Up-down counter analysis
Article slugs
shift-registers-typescounter-design-modulo-nring-johnson-counter
Lab slug: counter-simulation-lab
Module 5: State Machines and GATE Practice
Topics
- Mealy and Moore machine models
- State table and state diagram construction
- State minimization using implication tables
- GATE-pattern MCQs on digital circuits
- Common traps in digital electronics questions
Article slugs
mealy-moore-machinesstate-minimization-implicationdigital-electronics-gate-problems
Lab slug: state-machine-design-lab