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Consider a file system with $\text{512-byte}$ blocks. Assume an inode of a file holds pointers to $8$ direct data blocks, and a pointer to a single indirect block. Further, assume that the single indirect block can hold pointers to $4$ other data blocks. The maximum file size in bytes that can be supported by such an inode design will be ________
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$(8+4) \times 512=6144$ bytes.
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