Number Systems and Computer Logic: Binary, Hex, and Arithmetic

Number systems form the fundamental groundwork of computer science and digital hardware. Understanding how data transforms between binary, decimal, and hexadecimal representations is essential for writing efficient code and debugging low-level applications. This text-based course guides you step-by-step through the core mechanics of positional notation, base conversions, and binary arithmetic. You will gain a complete mental model of digital data representation by working through clear written explanations and practical exercises. What you will learn: Understand key terminology and foundational concepts of positional number systems. Convert values smoothly between binary, octal, decimal, and hexadecimal formats. Perform binary arithmetic including addition, subtraction, and two's complement for signed integers. Apply bitwise logic operations such as AND, OR, XOR, and bit shifts in written code examples. Explore real-world applications of hexadecimal notation in memory addresses and web color codes. The course begins with key terminology and mathematical foundations before progressing to base conversions and bitwise operations. Designed for absolute beginners, self-taught programmers, and computer science students with no prior prerequisites required. Start reading today to build a rock-solid foundation in computer arithmetic.