Number Systems for Computer Science: Binary, Hex, and Arithmetic

Every piece of data in modern computing—from simple integers to complex applications—is ultimately stored as binary. Understanding how computers represent and manipulate numbers is the essential first step to mastering computer science and low-level programming. This text-based course guides you from absolute basics to a confident understanding of how different number systems work. You will learn to perform arithmetic directly in binary, octal, and hexadecimal, and understand how modern computers handle integers, fractions, and real numbers in memory. What you'll learn: - Learn the fundamental concepts of positional and non-positional number systems. - Convert integers and fractional numbers smoothly between binary, octal, decimal, and hexadecimal bases. - Perform core arithmetic operations—addition, subtraction, multiplication, and division—in non-decimal systems. - Understand how real numbers are represented in modern hardware using floating-point standards like IEEE 754. - Apply bitwise operations to manipulate data at the binary level, a key skill for modern software optimization. The course starts with core terminology and the mathematical foundations of positional notation before moving into practical, step-by-step conversion algorithms. You will then progress to hands-on arithmetic practice and explore how modern programming languages store and manage numerical data. Designed entirely for beginners, this course requires no prior background in advanced mathematics or computer science. Anyone looking to build a strong technical foundation will benefit. Start reading today to demystify the binary world and elevate your technical literacy.