Exercise 5. [30 Marks] Consider a 32-bit computer with a simplified memory hierarchy. This hierarchy contains a single cache and an unbounded backing memory. The cache has the following characteristics: Direct-Mapped, Write-through, Write allocate. Cache blocks are 16 words each. The cache has 128 sets. (a) [4 Marks] Calculate the cache's size in bytes. (b) [12 Marks] Consider the following code fragment in the C programming language to be run on the described computer. Assume that: program instructions are not stored in cache, arrays are cache-aligned (the beginning of the array aligns with the beginning of a cache line), ints are 32 bits, and all other variables are stored only in registers. int N = 16384; int A[N]; for (int i = 1; i