The Problem When Microsoft developed the File Allocation Table $($FAT$)$ system to record information about disk drives, it included a custom date format. This economized on space by fitting the month, day, and year into a $16-$bit word. To accomplish this, the range of dates was limited$.$ The FAT date comprises three data items: The year, limited to a range of $1980$ to $2107-$ seven bits The month $(1-12)-$ four bits The day $(1-31)-$ five bits Hence, the FAT system stores the number of years past $1980$ rather than the actual year. So$,$ a value of decimal $43$ in the year represents the year $2023.$ The following image shows the layout of the $16-$bit date:Microsoft FAT Date Format

Year

$($minus

Month

$1-12$

Day

$1-31$

$15141312111009080706050403020100$

For example, October $17,2023$ would be stored as a FAT date of $0$x$5751.$

Your assignment is to write ARM assembly language instructions which accept an

input FAT date value, validate it$,$ and break it into its component fields. You should

also validate the month field.

Input

Your program input will be a FAT date in bits $15$:$0$ of register $1.$

Output

Your program should place the year in register $2,$ the month in register $3,$ and the day

in register $4.$ Before ending, perform the following validations:

If the month field is not in the range of $1$ through $12,$ place $15$ in register $3.$

DOS treated zero dates as though they were $1980-01-01.$ If the input $16-$bit

FAT date was all zeroes, set the year $($R$2)$ to zero, the month $($R$3)$ to one, and

the day $($R$4)$ to one.