Given a computer using direct mapped cache has 230words of m

Given a computer using direct mapped cache has 2^30words of main memory, and a total cache size of 32K words, where each cache block contains 32 words. Show your work. How many cache blocks (lines) are there? How many blocks of main memory are there? What is the format of a memory address as seen by the cache, i.e., what are the sizes of die tag, block, and word fields? Tag bits Block bits Word bits To which cache block will the memory reference 000063FA_16 map in hex? Show your work.

Solution

a) Number of cache blocks=32K/32=1K=2¹⁰

b) Number of main memory blocks=2³⁰/32=2²⁵