Floating Point Numbers: Representation and Errors

This lecture covers the representation of floating point numbers, discussing the differences between unsigned int and int in C++, the fixed-point representation, error quantification, relative error, and the importance of uniform relative error. It also explores the compromise between ensuring uniform relative error and accepting discretization error growth within the covered domain, drawing inspiration from scientific notation. Examples with three significant figures are provided to illustrate the concept of uniform relative error. The lecture emphasizes the significance of error analysis in representing floating point numbers accurately.