What is the maximum file size supported by a file system with 16 direct blocks, single, double, and triple indirection? The block size is 512 bytes. Disk block numbers can be stored in 4 bytes.

Solution:

We have, block size = 512

number of block numbers in an indirection block
= block size / 4
= 128

number of blocks for file data in that file object

= 16 + 128 + 128^2 + 128^3
Maximum file size:
(direct + single indirect + double indirect + triple indirect) * (blocksize)
= (16 + 512/4 + (512/4)^2 + (512/4)^3) * (512)
= 68853964800 bytes, ~64 gigs