This problem tests your ability to predict the cache behavior of C code. You are given the following code to analyze:
Assume we execute this under the following conditions:
• . sizeof(int) = 4.
• . Array x begins at memory address 0x0 and is stored in row-major order.
• . In each case below, the cache is initially empty.
• . The only memory accesses are to the entries of the array x. All other variables are stored in registers.
Given these assumptions, estimate the miss rates for the following cases:
A. Case 1: Assume the cache is 512 bytes, direct-mapped, with 16-byte cache blocks. What is the miss rate?
B. Case 2: What is the miss rate if we double the cache size to 1024 bytes?
C. Case 3: Now assume the cache is 512 bytes, two-way set associative using an LRU replacement policy, with 16-byte cache blocks.What is the cache miss rate?
D. For Case 3, will a larger cache size help to reduce the miss rate? Why or why not?
E. For Case 3, will a larger block size help to reduce the miss rate? Why or why not?
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