Assume a computer $x$ has a memory with the capacity $512kB.$ The cache is capable of storing $128$ bytes with $16$ bytes of line of cache.

Using the Associative Mapping techniques, show how the main memory address is divided into tag, and word$/$byte$.$

Using the Direct Mapping techniques, show how the main memory address is divided into tag, line and word$/$byte$.$

Using the Set Associative $2-$ways Mapping techniques, show how the main memory address is divided into tag, set and word$/$byte$.$

Using the Set Associative $4-$ways Mapping techniques, show how the main memory address is divided into tag, set and word$/$byte$.$