Number Systems for Computer Science: Binary, Octal, and Hexadecimal

Every piece of modern software eventually boils down to ones and zeros, yet many self-taught programmers and students struggle with the foundational math that makes computing work. Understanding how computers represent, store, and manipulate numbers is essential for writing efficient code and passing technical assessments. This text-only course guides you through the mechanics of positional and non-positional number systems. You will transition from relying on calculators to confidently converting values between binary, octal, decimal, and hexadecimal bases, while gaining a clear conceptual model of how memory storage works under the hood. What you'll learn: Understand the differences between positional and non-positional number systems, starting with core mathematical principles; Convert integers and fractional numbers smoothly between binary, octal, decimal, and hexadecimal formats; Perform basic arithmetic operations directly within different bases; Analyze how computers represent signed numbers and fractional values using modern concepts like two's complement; Apply bitwise operators in programming contexts to manipulate data at the machine level. You will begin with foundational history and terminology before progressing to step-by-step conversion algorithms and practical written exercises. This course is designed for beginner computer science students, aspiring software engineers, and self-taught programmers, with no prior advanced mathematics required. Start reading today to unlock a deeper understanding of how computer hardware and software communicate.