Perform a bitwise logical OR operation between two $16-$bit hexadecimal numbers. Convert the source numbers to the binary system, perform the operation and translate the result back to the hexadecimal system.

$0$xCCCC $=$

XXXX XXXX XXXX XXXX

Binary

OR

$0$xAAAA $=$

YYYY YYYY YYYY YYYY

Binary

$=$

$--------------------------------------------------------$

Binary

XXXX XXXX XXXX XXXX

$=0$x

ZZZZ

Your answer should be formatted as: XXXX XXXX XXXX XXXX $=0$xZZZZ

Please pay your attention to the formatting, be accurate with all the white spaces and etc