$[3$ points$]$ Suppose a CPU has a memory which is $64$ words long. The CPU also has a direct mapped cache which has space for $8$ blocks, where $1$ block $=1$ word. Show the state of the cache, in the form of a table as each of the following word addresses are requested by the CPU one after the other. Make sure you also store the tags associated with element inside the cache and you draw a separate table for each address request.

$110100$

$011000$

$111100$

$[4$ points$]$ Suppose we have a $2-$way associative cache that has $256$ blocks where each block is $1$ word long. Also suppose the memory can store $4096$ words. Where inside the cache would you store the words with address $567?$ Make sure you draw figures illustrating your explanations!