$2.$ Suppose a computer using direct mapped cache has $232$ byte of byte$-$addressable main memory, and a cache of $1024$ blocks, where each cache block contains $32$ bytes.$24$ points

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$1024$ x $32=32,768$

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a$)$ How many blocks of main memory are there?

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b$)$ What is the format of a memory address as seen by the cache, i$.$e$.,$ what are the sizes of the tag, block, and offset fields?

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To which cache block will the memory address $0$x$000063$FA map?