Given a cache of 512 blocks, 4-word blocks, assuming 8-way set associative mthod is used. To what set number does the physical address 46783 map?31631523

To determine the set number to which the physical address 46783 maps, we need to understand the structure of the cache memory.

Given:

• Cache size = 512 blocks
• Block size = 4 words
• Set associativity = 8-way

This means that each set in the cache contains 8 blocks.

The number of sets in the cache can be calculated as follows: Number of sets = Total number of blocks / Number of blocks per set Number of sets = 512 blocks / 8 = 64 sets

The set number is determined by the block number of the address. The block number can be calculated by dividing the address by the block size.

Block number = Address / Block size Block number = 46783 / 4 = 11695.75

Since block number must be an integer, we take the floor of the division result, which gives us 11695.

Finally, the set number is calculated by taking the block number modulo the number of sets.

Set number = Block number mod Number of sets Set number = 11695 mod 64 = 47

So, the physical address 46783 maps to set number 47.