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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?

  1. $513$ Kbytes
  2. $513$ MBytes
  3. $537$ Mbytes
  4. $537$ KBytes
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