Question: Consider a cache with the following information The cache has a total of 2048 bytes, which are divided into 128 blocks with 16 bytes in
Consider a cache with the following information
The cache has a total of 2048 bytes, which are divided into 128 blocks with 16 bytes in each block
The main memory has a total of 65536 bytes, which are divided into 4096 blocks with 16 bytes in each block
The main memory uses byte addressing, and thus a memory address has a total of 16 bits
The cache uses 4-way (i.e., k=4) set-associative mapping and LRU replacement.
The total number of sets in the cache is( ) , and the number of bits in a tag associated with a cache block is ( )
Consider the following five read requests for bytes at the following addresses.
request 1 for the byte at address 0x0210
request 2 for the byte at address 0x0410
request 3 for the byte at address 0x0610
request 4 for the byte at address 0x0810
request 5 for the byte at address 0x0214
request 6 for the byte at address 0x0A10
All of these addresses correspond to cache set 1, and thus we consider only case set 1. Initially, we have the following information for cache set 1
| cache set | cache block | Valid | tag | counter |
| 1 | 4 | 0 | n/a | 0 |
| 1 | 5 | 0 | n/a | 0 |
| 1 | 6 | 0 | n/a | 0 |
| 1 | 7 | 0 | n/a | 0 |
after executing read request 1, we have
| cache set | cache block | Valid | tag (binary) | counter (decimal) |
| 1 | 4 | 1 | 0b | |
| 1 | 5 | 0 | n/a | 0 |
| 1 | 6 | 0 | n/a | 0 |
| 1 | 7 | 0 | n/a | 0 |
after executing read request 2, we have
| cache set | cache block | Valid | tag (binary) | counter (decimal) |
| 1 | 4 | 1 | 0b | |
| 1 | 5 | 1 | 0b | |
| 1 | 6 | 0 | n/a | 0 |
| 1 | 7 | 0 | n/a | 0 |
after executing read request 3, we have
| cache set | cache block | Valid | tag (binary) | counter (decimal) |
| 1 | 4 | 1 | 0b | |
| 1 | 5 | 1 | 0b | |
| 1 | 6 | 1 | 0b | |
| 1 | 7 | 0 | n/a | 0 |
after executing read request 4, we have
| cache set | cache block | Valid | tag (binary) | counter (decimal) |
| 1 | 4 | 1 | 0b | |
| 1 | 5 | 1 | 0b | |
| 1 | 6 | 1 | 0b | |
| 1 | 7 | 1 | 0b |
after executing read request 5, we have
| cache set | cache block | Valid | tag (binary) | counter (decimal) |
| 1 | 4 | 1 | 0b | |
| 1 | 5 | 1 | 0b | |
| 1 | 6 | 1 | 0b | |
| 1 | 7 | 1 | 0b |
after executing read request 6, we have
| cache set | cache block | Valid | tag (binary) | counter (decimal) |
| 1 | 4 | 1 | 0b | |
| 1 | 5 | 1 | 0b | |
| 1 | 6 | 1 | 0b | |
| 1 | 7 | 1 | 0b |
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