Consider a file system that has the following description:
The disk is divided into 1024-byte blocks.
The beginning of the disk contains an array of 216 inodes, each of which can represent a file or be unallocated.
A file has an indexed structure: an inode contains
(a) 8 data block pointers, each of which is 4 bytes and each of which points to a disk block and
(b) a pointer to ONE indirect block, which is a disk block that itself contains data block pointers.
The inode also contains a userid (2 bytes), three time stamps (4 bytes each), protection bits (2 bytes), a reference count (3 bytes), and the size (4 bytes).
A directory contains a list of (file_name, inode_number) pairs, where the file_name portion is always exactly 14 bytes, including the null terminator (if the file_name would otherwise be fewer than 14 bytes, it is padded to 14 bytes).

(a) State the maximum file size, and justify your answer, for example by showing how you get your answer. You may express your answer as a sum of powers-of-two.