Problem $1$:

$[10$ points$]$

For the pair of hexadecimal numbers $(1446,672F)$

$($a$)$ What is the sum of A and $B$ if they represent unsigned $16-$bit hexadecimal numbers? The result should be written in hexadecimal. Show your work.

$($b$)$ What is the sum of A and B if they represent signed $16-$bit hexadecimal numbers stored in signmagnitude format? The result should be written in hexadecimal. Show your work.

$($c$)$ Convert A into a decimal number, assuming it is unsigned. Repeat assuming it stored in signmagnitude format. Show your work.