suppose that a 64-bit processor uses the following cache: 2kb block size, 16-way associativity, and total size of 32mb. determine how many bits are used for the tag, index, and block offset.

Respuesta :

We are aware that 64 KB equals 64K words, or 2 to the power of 14 words (2 to the power of 1 word = 2 to the power of 14 blocks).

Each block has 32 bits of data, a 32-14-2 bit tag, and a valid bit. Therefore, for a 64-KB cache, the overall cache size is (2 to the power 14)*49=784 bits, or 98KB. Since there are 64 bytes per line and a cache line's size equals a main memory block's size, the block offset is 6 bits. Associative 2-way cache stores two lines as a single set. The remaining 18 bits for the tag are calculated as follows: number of sets = total cache lines/2 = (512KB/64)/2 = 212, translating to 12 bits for the set.

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