A file system can keep track of free blocks by using either a free block bitmap or a free block list. The system has a total of t blocks of size b bits, u of those blocks are used and each block number is stored using s bits.

a. Express size (in bits) of this devices free block bitmap using the given variables.

b. Express the size (in bits) of this systems free block list in terms of the given variables. Ignore the space consumed by pointers to free list continuation blocks.