$(20$ Points$)$ We are creating a new $8$ bit foating point binary number format. It will consist of a sign:

Ho postive Imeet $3$ bik for tie exponent, and $4$ bits for the mantess, Ne wil be using $33$

offset for the exponent. Assume there is a leading I $($to the loft of the decimal point$)$ for the manisa.

Convert $3$A $($hex$)$ to floating point decimal format, show all work.

$19.(25$ Points$)$

Complete the Truth table and explain what this circuit does.