1. A 64-bit word computer system employs an 8 MB cache. The address bus in this system is 38 bits. Determine the number of bits in each field of the address to be seen in the cache using a. Fully associative mapping with a line size of 16 words b. Direct mapping with a line size of 32 words 2. A 32-bit word computer system has a main memory of 2 GB, and has a 16 MB 8-way set associative cache with a line size of 32 words. How many bits is each field of the address (Tag, Index, Word, Byte)? 3. A computer system has a main memory which is cached with a Direct Mapped cache. The memory addresses of the system have a 14-bit Tag field, an 11-bit Index field, a 4-bit word field, and a 3-bit byte field. What is the size of the main memory in bytes? What is the size of the cache in bytes? How many words are there per cache line? How many bits are the world in the system? 4. According to theory, which cache organization (Direct Mapped, Set Associative, or Fully Associative) tends to have the highest average hit to miss ratio, and why? Which tends to have the lowest hit to miss ratio, and why?

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