$($b$)$ Suppose, the size of a disk is $2TB.$ Each block in the file system is $8KB.$ We want to use a bitmap to manage

the free space.

$1\mathrm{.}5+1\mathrm{.}5$

i$.$ How many blocks are there in the file system? How much memory do we need to address all the blocks?

ii$.$ If we use a clustering system where the cluster size is $16KB,$ how much memory will we need then?