(a) Assume that addresses are 32 bits long, that the 5 low order bits of an address are used for the offset into a block, and that 7 bits are used for the index into the cache. Also assume that each cache block has 2 check bits (a valid and a dirty bit). For each of the following types of cache, calculate the total size of the cache in bits. Remember to include tag and check bits i. direct mapped ii. 2-way set associative