$1.<5\mathrm{.}0$ pts$>$ Given $256$ GB of physical memory, a $2-$way set associative cache that is $128$ KB in size with a block offset of $4$ bits, answer the following:

$1.$a$.(0\mathrm{.}5$ pts$)$ How many bits in the address space?

$\backslash$Hint: The size of the physical memory defines the address space since no other information is given.

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$1.$b$.(0\mathrm{.}5$ pts$)$ How many bytes in each cache block?

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$1.$c$.(0\mathrm{.}5$ pts$)$ How many blocks in this cache?

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$1.$d$.(0\mathrm{.}5$ pts$)$ How many rows in this cache?

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$1.$e$.(0\mathrm{.}5$ pts$)$ How many bits used for the index of the cache?

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$1.$f$.(0\mathrm{.}5$ pts$)$ How many bytes of data can be stored in each cache row?

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$1.$g$.(0\mathrm{.}5$ pts$)$ How many bits required for the tag?

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$1.$h$.(0\mathrm{.}5$ pts$)$ How many bytes of memory are required to store the valid bit in this cache?

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$1.$i$.(0\mathrm{.}5$ pts$)$ How many bytes of memory are required to store the tag bits in this cache?

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$1.$j$.(0\mathrm{.}5$ pts$)$ How many bytes of memory are required to physically build this cache?

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