Welcome to Basics of Digital Logic Design — your gateway to understanding the core principles that power all modern computing systems. Whether you’re designing a microprocessor, building digital circuits, or simply curious about how computers “think,” this course equips you with the logical foundations every digital system is built on.
We begin our journey by exploring number systems — including binary, octal, decimal, and hexadecimal — and how to convert seamlessly between them. Next, we’ll examine the subtraction of unsigned numbers using complements, followed by an exploration of signed number representations in signed magnitude, 1’s complement, and 2’s complement forms, along with methods for performing addition and subtraction of signed numbers and understanding overflow in signed arithmetic.
We’ll then dive into logic gates, the building blocks of digital decision-making, and learn how to express complex output functions using minterms and maxterms. Next, we’ll elaborate the strategies and examples for converting a schematic into its NAND- or NOR-only form.
As the course progresses, you’ll sharpen your skills in Boolean algebra and learn to simplify logical expressions using tools like Karnaugh maps (K-maps). You’ll then discover how these simplified expressions are translated into real hardware through combinational logic circuits and new implementation strategies using multiplexers and decoders.
Next, we explore powerful devices such as decoders, encoders, multiplexers, demultiplexers, and priority encoders, and you’ll gain hands-on understanding of how they’re used to construct efficient logic systems.
Finally, you’ll transition into the world of sequential logic — where memory and time enter the equation. From latches and flip-flops to the analysis and design of sequential circuits, you’ll learn how to model real-time systems using finite state machines (FSMs). We’ll even delve into how to optimize these FSMs through state reduction techniques.
Whether you’re preparing for a career in hardware design, embedded systems, or academic research, this course builds a rock-solid foundation and helps you think like a logic designer.