Solve the following using sign extension. Assume all numbers are two$$s complement binary numbers! Show all your work!

$($a$)$ Given $101011112$ move it to a $16-$bit slot in memory.

$($b$)$ Given $00112$ move it to an $8-$bit slot in memory

$($c$)$ Show and explain how the number $111111112$ is the number $-1$ in decimal