After the disk partition is first formatted, the beginning of a free space bitmap looks like this: 1000(the first block is used by the root directory). as we discussed during the lecture, the system always searches for free blocks starting at the lowest numbered block, so after writing file a, which uses six blocks, the bitmap would change to 1110 . show the bitmap after each of the following actions: (a) file b is written, using five blocks; (b) file a is deleted; (c) file c is written, using eight blocks; (d) file b is deleted.