Floating Point Numbers: Extended Precision

This lecture covers the representation of numbers using extended floating point notation, focusing on the smallest representable number and the convention changes to represent numbers smaller than 1. The instructor explains how to interpret the exponent 0 differently, shifting the exponent range to include negative powers. By adjusting the representation convention, the interval between 0 and 2 is used to represent values smaller than 1, resulting in a loss of precision. An example with a specific exponent value is provided to illustrate the representation process. The lecture concludes with a simple representation of 0 using all zeros.