A checksum error correction scheme is used in the networking layer to check for errors in the IP header. If the IP header is filled with the following hexadecimal values, compute the checksum that should be inserted into the specified field to give a sum of $0.$ Note that end$-$around carries work exactly the same in hexadecimal math as they do in binary math. Write your answer as a $4$ digit hexadecimal number.

IP Header:

$4500$

$05$AC

$5$CB$2$

$4000$

$8006$

$0000<--$ checksum field

C$0$A$8$

$0102$

$4$A$7$D

E$416$