Introduction to the Organization of Computer Systems Suppose a computer using fully associative cache has 224 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, i.e., what are the sizes of the tag and offset fields? c) To which cache block will the memory address 0x01D872 map?

Systems Architecture
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Chapter4: Processor Technology And Architecture
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Memory Organization

Introduction to the Organization of Computer Systems
Suppose a computer using fully associative cache has 224 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, i.e., what are
the sizes of the tag and offset fields?
c) To which cache block will the memory address 0x01D872 map?
Transcribed Image Text:Introduction to the Organization of Computer Systems Suppose a computer using fully associative cache has 224 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, i.e., what are the sizes of the tag and offset fields? c) To which cache block will the memory address 0x01D872 map?
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