A two-way set-associative mapped cache has 16 blocks, with eight words per block. The size of main memory is 21° words, and the cache is initially empty. Access time of the cache is 40 ns, and the time required to transfer eight words between main memory and the cache is 1 us. (a) Compute the sizes of the tag, set, and word fields. (b) Compute the hit ratio for a program that executes from memory locations 20-45, then loops four times from memory locations 28-45 before halting. Assume that when there is a miss, the entire cache slot is filled ir 1 us, and the first word is not seen by the CPU until the entire slot is filled. That is, assume load-through is no Ised. Initially, the cache is empty.

Computer Networking: A Top-Down Approach (7th Edition)
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7.8 A two-way set-associative mapped cache has
16 blocks, with eight words per block. The size of main
memory is 21° words, and the cache is initially empty.
Access time of the cache is 40 ns, and the time required
to transfer eight words between main memory and the
cache is 1 us.
(a) Compute the sizes of the tag, set, and word fields.
(b) Compute the hit ratio for a program that executes
from memory locations 20–45, then loops four times
from memory locations 28-45 before halting. Assume
that when there is a miss, the entire cache slot is filled in
and the first word is not seen by the CPU until the
1
us,
entire slot is filled. That is, assume load-through is not
used. Initially, the cache is empty.
Transcribed Image Text:7.8 A two-way set-associative mapped cache has 16 blocks, with eight words per block. The size of main memory is 21° words, and the cache is initially empty. Access time of the cache is 40 ns, and the time required to transfer eight words between main memory and the cache is 1 us. (a) Compute the sizes of the tag, set, and word fields. (b) Compute the hit ratio for a program that executes from memory locations 20–45, then loops four times from memory locations 28-45 before halting. Assume that when there is a miss, the entire cache slot is filled in and the first word is not seen by the CPU until the 1 us, entire slot is filled. That is, assume load-through is not used. Initially, the cache is empty.
300 Chapter 7 Memory
(c) Compute the effective access time for the program
described in part (b) above.
7.9 Compute the total number of bits of storage needed
for the associative mapped cache shown in Figure 7-19
and the direct mapped cache shown in Figure 7-21.
Include valid, dirty, and tag bits in your count. Assume
that the word size is eight bits.
Transcribed Image Text:300 Chapter 7 Memory (c) Compute the effective access time for the program described in part (b) above. 7.9 Compute the total number of bits of storage needed for the associative mapped cache shown in Figure 7-19 and the direct mapped cache shown in Figure 7-21. Include valid, dirty, and tag bits in your count. Assume that the word size is eight bits.
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