Number Systems Arithmetic: Binary, Octal, and Hexadecimal

Computers do not think in tens, and as a developer or computer science student, understanding how numbers work under the hood is essential. This text-based course demystifies binary, octal, and hexadecimal arithmetic, giving you the confidence to perform calculations without relying on digital calculators. You will transition from struggling with base conversions to fluidly performing addition and subtraction across bases 2, 8, 10, and 16. You will learn the mechanics of digit-wise operations, manage carries and borrows, and understand how modern systems represent negative numbers and memory addresses. What you'll learn: Understand the fundamental concepts of positional number systems and base representation; Perform digit-wise addition with carries in binary, octal, and hexadecimal systems; Apply subtraction techniques using borrow methods across different bases; Convert numbers between different bases to verify your calculations accurately; Identify and avoid common pitfalls and errors in multi-base arithmetic; Explore how modern computers represent data, signed numbers, and memory addresses. The course starts with fundamental definitions of bases and positional notation before guiding you through step-by-step written examples of addition and subtraction. You will practice with targeted text-based exercises designed to reinforce your manual calculation skills. This course is designed for absolute beginners in computer science, programming, or digital electronics, with no prior advanced mathematical background required. Start reading today to master the core mathematical foundations of computing.