$(4$ points$)$ Using arithmetic shifting, perform the following operations assuming the numbers are expressed using $8-$bit signed two's com representations:

$($a$)$ Multiply the value $00101010$ by $8.$

$($b$)$ Divide the value $10011110$ by $4.$

$(6$ points$)$ Represent the following decimal integer numbers in binary using signed magnitude, one's complement, and two's complement representations; as per the number of bits specified for every number.

NOTE: If the number cannot be represented in the required scheme then state that clearly with the reason.

$($a$)-0($represent using $4-$bit$)$

$($b$)-16($represent using $5-$bit$)$