Suppose you have a Linux file system where the block size is $2K$ bytes, a disk address is $32$ bits, and an i-node contains the disk addresses of the first $12$ direct blocks of file, a single indirect block, and a double indirect block. Approximately, what is the largest file that can be represented by an i-node?

Block size $=2K=2048$ bytes

Disk address size $=32$ bits $=4$ bytes

Number of addresses in one block:

$\frac{2048}{4}=512$

Direct blocks $=12$

Single indirect blocks $=512$

Double indirect blocks:

$512\times512=262144$

Total data blocks:

$12+512+262144=262668$

Total file size:

$262668\times2048=537944064$ bytes

In MB:

$\frac{537944064}{1024\times1024}\approx513$ MB