Generate a $16-$bit integer $($C$++$ short int$)$ using three integer values $($year$,$ month, and day$).$ Its purpose is to create a Microsoft FAT system date. This has three bit fields. write a program which takes a user$-$supplied date and produces the corresponding FAT$-$encoded value. Prompt the user for a month, day, and year. Reject invalid month and day values and end the program with an error message. Reject any year not between $1980$ and $2107$ and end the program. Produce your output in hexadecimal.

Sample Input: Enter a month, day, and year between $1-1-1980$ and $12-31-2107$: $3202018$

Sample Output: The hexadecimal FAT date is: $4$C$74$