Explain the memory hierarchy and RAID concisely. Assuming a system with some main memory capacity, $512$ Bytes of cache size, and $64$ Bytes of cache line size. Also, assuming that the main memory address $2$EC$9$ contains $38$AF$33$ data, copy this data to the cache in direct, associative and $4-$way set$-$associative mapping algorithms $($show the steps$),$ If needed, all plausible assumptions can be made with full justification.