Suppose that we have a computer that uses a memory address of 12-bits. This computer has a 64-byte cache with 16 bytes per frame. The computer accesses a number of memory locations throughout the course of a running program. Suppose this computer uses direct-mapped cache. The system accesses the following memory addresses (given in hex) in this exact order: F2E, A17, 2E0, 44E, 34F, 341, B50, B58 a. What is the hit ratio for the memory reference sequence given above? b. Show the content of each cache frame following each memory reference (frame content to be shown as tag +frame index) c.If we keep the same cache size and the same frame size but switch to a 2-way set associative cache mapping scheme. Given the memory address reference 555, indicate where we would look in the cache to find this data. Indicate which fields will be used to find the exact location?

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Memory Hierarchy and Cache
Suppose that we have a computer that uses a memory address of 12-bits. This computer has a
64-byte cache with 16 bytes per frame. The computer accesses a number of memory locations
throughout the course of a running program. Suppose this computer uses direct-mapped cache.
The system accesses the following memory addresses (given in hex) in this exact order: F2E,
A17, 2E0, 44E, 34F, 341, B50, B58
a. What is the hit ratio for the memory reference sequence given above?
b. Show the content of each cache frame following each memory reference (frame content to
be shown as tag +frame index)
c.If we keep the same cache size and the same frame size but switch to a 2-way set
associative cache mapping scheme. Given the memory address reference 555, indicate
where we would look in the cache to find this data. Indicate which fields will be used to find
the exact location?
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