Introduction to GCD Machine Design and Number Systems

Understanding how hardware processes mathematical operations is a fundamental skill for any aspiring digital design engineer. This text-only course provides a clear, step-by-step guide to binary number systems, digital logic design, and the implementation of a Greatest Common Divisor (GCD) machine.\n\nYou will start by mastering the essential mathematical foundations, including signed and unsigned binary representations, before transitioning into hardware architecture design. Through written explanations and structured code examples, you will explore how to partition a system into a control unit and a datapath, and how to describe this behavior using Verilog.\n\nWhat you'll learn:\n- Understand binary, hexadecimal, and signed number representations used in digital hardware.\n- Learn the algorithmic steps of the Greatest Common Divisor (GCD) subtraction and division methods.\n- Design the control unit and datapath (FSMD) for a hardware-based GCD machine.\n- Write clean, synthesizable Verilog code to model the GCD architecture.\n- Create basic testbenches to verify your digital designs using modern simulation concepts.\n- Practice analyzing hardware resource utilization and timing constraints.\n\nThis course begins with core terminology and foundational logic principles, moving systematically into hardware description and simulation workflows. It is designed for beginners, students, and hobbyists looking to enter the field of digital design and hardware engineering, with no prior Verilog experience required.\n\nStart reading today to build a solid foundation in digital hardware design.