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Course 31452

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A processor with 31-bit virtual addresses has 128 MiB of physical memory and a 2 KiB page size.

Assuming that a page

table entry stores a physical page number, valid bit, dirty bit, and reference

bit, and that its size in bytes must be a power of 2, how large is the page

table in KiB?

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A processor with 31-bit virtual addresses has 128 MiB of physical memory and a 2 KiB page size.

What is the size of

the virtual page number?

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A processor with 31-bit virtual addresses has 128 MiB of physical memory and a 2 KiB page size.

What is the size of

the physical page number?

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A processor with 31-bit virtual addresses has 128 MiB of physical memory and a 2 KiB page size.

What is the size of

the page offset?

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A processor has a

separate L1 I-cache and L1 D-cache that share the same L2 cache. Both L1 caches

have a hit latency of 1 cycle(s). The I-cache has a miss rate of 2% and the D-cache has a miss rate of 11%. The L2 cache has a hit latency of 18 cycles and a miss rate of 6%. L2 misses are serviced

by DRAM which has an average memory access time of 163 cycles.

What is the average

memory access time of the L1 I-cache? Round your answer to 2 decimal places.

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A processor has a

separate L1 I-cache and L1 D-cache that share the same L2 cache. Both L1 caches

have a hit latency of 1 cycle(s). The I-cache has a miss rate of 2% and the D-cache has a miss rate of 11%. The L2 cache has a hit latency of 18 cycles and a miss rate of 6%. L2 misses are serviced

by DRAM which has an average memory access time of 163 cycles.

What is the average

memory access time of the L1 D-cache? Round your answer to 2 decimal places.

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A processor with 27-bit memory addresses has a 64 KiB 8-way set associative write-through cache with a block size of 32 bytes.

What is the total number

of bits needed to construct the cache?

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A processor with 27-bit memory addresses has a 64 KiB 8-way set associative write-through cache with a block size of 32 bytes.

What is the

efficiency of the cache? Report your answer as

a real number (not a percentage) rounded to 2 decimal places.

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A processor has a

separate L1 I-cache and L1 D-cache that share the same L2 cache. Both L1 caches

have a hit latency of 1 cycle(s). The I-cache has a miss rate of 2% and the D-cache has a miss rate of 11%. The L2 cache has a hit latency of 18 cycles and a miss rate of 6%. L2 misses are serviced

by DRAM which has an average memory access time of 163 cycles.

If the processor’s base

CPI is 2 when an

ideal memory is assumed, what is the actual CPI of the processor when memory

stalls are considered for a program that has a 18% fraction of memory access instructions? Round your answer to

2 decimal places.

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A processor has a

separate L1 I-cache and L1 D-cache that share the same L2 cache. Both L1 caches

have a hit latency of 1 cycle(s). The I-cache has a miss rate of 2% and the D-cache has a miss rate of 11%. The L2 cache has a hit latency of 18 cycles and a miss rate of 6%. L2 misses are serviced

by DRAM which has an average memory access time of 163 cycles.

What is the average

memory access time of the L2 cache? Round your answer to 2 decimal places.

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