Binary Calculation Methods Using Checkerboards - From Napier's Rabdologia

Explore a 22-minute mathematical video that reveals how a chessboard and counters can function as a sophisticated calculation tool, based on John Napier's Rabdologia treatise. Learn the historical method of 'Location Arithmetic as Performed on a Chessboard' which employs binary and basic algebraic properties to perform multiplication, division, and calculate square roots, including irrational numbers. Progress through detailed demonstrations of multiplication techniques, division processes, and methods for finding square roots, culminating in a practical example of calculating the square root of 2. Master this fascinating historical approach to mathematics that transforms a simple checkerboard into a powerful computational device.