Each directory entry for the file system is $1024$ bytes long, and has this layout:

$1024$ character $($max$)$ file name length

$32-$bit file type

$32-$bit owner ID

$32-$bit group ID

$32-$bit $($total$)$ of access permissions

$32-$bit creation timestamp

$32-$bit access timestamp

$32-$bit modification timestamp

$64-$bit file size

$$ A list of $32-$bit cluster numbers

c$)$ What is the maximum number of entries in the cluster list $($without extending the directory entry$)?$

d$)$ Without using any kind of cluster list extension, what is the maximum file size $($in bytes$)?$

e$)$ Assuming the cluster list can be expanded as needed, what is the maximum file size $($in bytes$)?$

f$)$ How many clusters would the maximum file size $($from e$,$ above$)$ require?

g$)$ How many full$-$sized files $($from f$,$ above$)$ will the drive hold?

h$)$ How many files can a directory reference and still be no larger than one cluster in size?

i$)$ If a file size is recorded as $00807$B$9$A$,$ how many full clusters are assigned to it$?$ How many bytes in

the last cluster are used?

j$)$ What is the physical location of cluster number $(0100)16$ on the drive?