Mastering Binary & Number Theory: Essential Math for Computer Science

Ever wonder how computers handle numbers and math at a foundational level? In this video, we dive into the fundamentals of positional numeral systems and number theory. We start by breaking down how to effortlessly translate between decimal, binary, and hexadecimal systems . Then, we explore the logic behind division with remainders—specifically the 'div' and 'mod' operations . You will learn the core rules of modulo arithmetic (like how clock times work) and discover how the ancient Euclidean algorithm is still used today to easily find the greatest common divisor . ⏱ Chapters: 0:00 - Introduction to Positional Numeral Systems 2:15 - Converting Binary and Hexadecimal Numbers 5:30 - Understanding 'Div' and 'Mod' 8:45 - Modulo Arithmetic Explained 12:00 - Prime Numbers & The Euclidean Algorithm