Question: 1. Suppose a computer using direct-mapped cache has 2 32 bytes of byte-addressable main memory and a cache of 1024 blocks, where each cache block

1. Suppose a computer using direct-mapped cache has 232 bytes of byte-addressable main memory and a cache of 1024 blocks, where each cache block contains 32 bytes.

  1. a) How many blocks of main memory are there?

  2. 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?

  3. c) To which cache block will the memory address 0x000063FA map?

2. 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.

  1. a) How many blocks of main memory are there?

  2. 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?

  3. c) To which cache block will the memory address 0x01D872 map?

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