In a hexadecimal $16-$bit number, clear $($set to $0)$ bits $0,3,7,8,12$ and $15.$ Convert the original number to the binary system, come up with a suitable mask $($binary and hexadecimal$)$ and perform a logical operation. Convert the result back to the hexadecimal system.

$0$xF$7$EF $=$

XXXX XXXX XXXX XXXX

Binary

Op:

$?$

Binary Mask:

YYYY YYYY YYYY YYYY

$=0$x

$????$

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

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