Number Systems and Base Conversion Algorithms

Understanding how computers represent and manipulate numbers is a core foundational skill for computer science and programming. This text-based course provides a clear, beginner-friendly breakdown of positional number systems and the mechanics behind base conversions. You will learn the principles of positional notation, master conversion algorithms between decimal and arbitrary base q, and explore key systems like binary, octal, and hexadecimal. What you'll learn: Define core terminology and foundational principles of positional number systems. Master step-by-step conversion algorithms from decimal to base q and back. Work efficiently with binary, octal, and hexadecimal formats used in digital systems. Understand signed number representations, including two's complement and basic bitwise concepts. Apply conversion logic through written explanations and guided practice problems. The course begins with essential terminology and fundamental definitions before moving into practical algorithmic techniques and computer data representation. Designed for beginners in computer science and mathematics with no prior prerequisites. Start reading today to master the underlying logic of numerical systems.