__Data:__

Disk size = 100 × 10^{6} bytes

Data block size = 10^{3} bytes

Overhead per entry = 4 bytes

__Formula: __

Total number of data disk block = \(\frac{{{\rm{Disk\;size}}}}{{{\rm{Data\;block\;size}}}}\)

Total space occupied by overhead = overhead per entry × number of entries

Maximum file size = total file system size – space consumed by overhead

__Calculation:__

Total number of data disk block = \(\frac{{{\rm{Disk\;size}}}}{{{\rm{Data\;block\;size}}}} = \frac{{100 \times {{10}^6}}}{{{{10}^3}}} = 100 \times {10^3}\)

Space occupied by overhead = 4 × 100 × 10^{3} = 0.4 × 10^{6}

Maximum file size = 100 × 10^{6} bytes – 0.4 × 10^{6 }

Maximum file size = 99.6 × 10^{6} bytes