Problem $10.(14$ points$)$:

Floating point

Use the following $8-$bit floating point representation: $1$ sign bit, $3$ exponent bits, and $4$ fraction bits.

A$.$ What is the bias?

B$.$ What is the smallest positive value that can be represented?

C$.$ What is the largest positive denormalized number?

D$.$ What is the representation of negative infinity?

E$.$ Fill in the following table. Use round$-$to$-$even. Value should be written to decimal