HW$4$b$\mathrm{.}6.$ Toy Floating Point System

For the following problems, consider a floating point number system that can be represented as for and $.$

a$.$ What is the smallest positive normalized floating point number? Use decimal representation. Enter your answer exactly with no rounding.

b$.$ What is the smallest positive subnormal floating point number?

c$.$ What is the largest positive normalized floating point number? Use decimal representation. Enter your answer exactly with no rounding.

e$.$ How many additional numbers $($positive and negative, not including zero$)$ can be represented when using the subnormal representation? Your answer should be an integer.

f$.$ What is the value of machine epsilon for this system? Use decimal representation. Enter your answer exactly with no rounding.