The beginning of a free space bitmap looks like this after the disk partition is first formatted: 1000 0000 0000 0000 0000 0000 0000 0000 (the first block is used by the root directory). The system always searches for free blocks starting at the lowest numbered block, so after writing file A, which uses 8 blocks, the bitmap looks like this 1111 1111 1000 0000 0000 0000 0000 0000. Show the bitmap after each of the following actions: (a) File B is written, using 12 blocks (b) File C is written, using 7 blocks (c) File A is deleted (d) File B is deleted (e) File D is written, using 6 blocks (f) File E is written, using 9 blocks Show all steps.