Explore binary arithmetic using base two vexels in this 30-minute video lecture from the Math Foundations series. Learn about a flexible notation system incorporating vertical aspects, which will prove useful when transitioning to base ten Hindu Arabic numerals. Discover the advantages of vexel arithmetic, understand why adding zeros to a poly number doesn't change it, and delve into binary numbers. Master vertical multiplication techniques and gain insights into the relationship between base and vexel representations. This mathematical exploration provides a foundation for understanding more complex numerical systems and calculations.