Exercise $1$

Write the following numbers as $32-$bit floating point numbers according to IEEE specification. Provide the result in binary and hexadecimal format $($i$.$e$.,$ the $32$ bits as stored in memory$)$:

a$)0$

b$)-4278$

c$)-42\mathrm{.}15625*{10}^3$

d$)$ Find out, how a denormalized number is stored according to IEEE specification. What is a use case for denormalized numbers?