Cache Mapping Technique 1. Suppose a computer using direct-mapped cache has 2 bytes of byte=addressable main memory and a cache of 32 blocks, where each cache block contains 16 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, block, and offset fields? c) To which cache block will the memory address 0x0DB63 map? 2. Suppose a computer using fully associative cache has 2 bytes of byte-addressable main memory and a cache of 128 blocks, where each cache block contains 64 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address as seen by the cache; that is, what are the sizes of the tag and offset fields? c) To which cache block will the memory address 0x01D872 map? 3. A 2-way set-associative cache consists of four sets. Main memory contains 2K blocks of 8 bytes each and byte addressing is used. a) Show the main memory address format that allows us to map addresses from main memory to cache. Be sure to include the fields as well as their sizes. b) Compute the hit ratio for a program that loops three times from addresses 0x8 to 0x33 in main memory. You may leave the hit ratio in terms of a fraction.
Cache Mapping Technique
1. Suppose a computer using
direct-mapped cache has 2 bytes of byte=addressable main memory and a cache of
32 blocks, where each cache block contains 16 bytes.
a) How many blocks
of main memory are there?
b) What is the
format of a memory address as seen by the cache; that is, what are the sizes of
the tag, block, and offset fields?
c) To which cache
block will the memory address 0x0DB63 map?
2. Suppose a computer using fully
associative cache has 2 bytes of byte-addressable main memory and a cache of
128 blocks, where each cache block contains 64 bytes.
a) How many blocks
of main memory are there?
b) What is the
format of a memory address as seen by the cache; that is, what are the sizes of
the tag and offset fields?
c) To which cache
block will the memory address 0x01D872 map?
3. A 2-way set-associative cache
consists of four sets. Main memory contains 2K blocks of 8 bytes each and byte addressing
is used.
a) Show the main
memory address format that allows us to map addresses from main memory to
cache. Be sure to include the fields as well as their sizes.
b) Compute the hit
ratio for a program that loops three times from addresses 0x8 to 0x33 in main
memory. You may leave the hit ratio in terms of a fraction.
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