Consider a machine with a 2-way set associative data cache of size 64Kbytes and block size 16bytes. The cache is managed using 32 bit virtual addresses and the page size is 4Kbyts. A program to be run on this machine begins as follows:
double ARR [1024] [1024];
int i, j ;
/* Initialize array ARR to 0.0 * /
for (i = 0; i < 1024; i ++)
for (j = 0; j < 1024; j ++)
ARR [i] [j] = 0.0;
The size of double is 8Bytes. Array ARR is located in memory starting at the beginning of virtual page 0xFF000 and stored in row major order. The cache is initially empty and no pre-fetching is done. The only data memory references made by the program are those to array ARR
The total size of the tags in the cache directory is
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