Answered! We have a standard 32-bit byte-addressed MIPS machine with 4 GiB RAM, a 4-way set-associative CPU data cache…

We have a standard 32-bit byte-addressed MIPS machine with 4 GiB RAM, a 4-way set-associative CPU data cache that uses 32 byte blocks, a LRU replacement policy, and has a total capacity of 16 KiB. Consider the following C code and answer the questions below. (size of int type variable is 4 byte)

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How many bits are used for the tag, index, and offset?

Tag Index Offset

Expert Answer

 Then you work from the bottom up. Let’s assume the system is byte addressable.

Then each cache block contains 8 words*(4 bytes/word)=32=25 bytes, so the offset is 5 bits.

The index for a direct mapped cache is the number of blocks in the cache is 7

Then the tag is all the bits that are left, as you have indicated. that is 20.

Tag=20

index=7

offset=5

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