Problems 1. For a computer system that has 1 GB of main memory, and one level of 128 KEB direct-mapped cache memory. Find the number of bits in three different fields (a) tag, (b) index, and (c) byte. The word size is 2 bytes. Show the values of the fields for the address (0CAB)16. (Add/pad needed bits). For a computer system that has 2 GB of main memory, and one level of 512 KB four- way set associative cache memory. Find the number of bits in three different fields (a) tag, (b) index, and (c) byte. The word size is 4 bytes. Show the values of the fields for the address (OFAD)16. (Add/pad needed bits) 2. 3. For a computer system that has 8 GB of main memory, and one level of 256 KB fully associative cache memory. Find the number of bits in three different fields (a) tag, (b) index, and (c) byte. The word size is 2 bytes. Show the values of the fields for the address (012A)16. (Add/pad needed bits) 4. Consider a somewhat small main memory of 1 KB (512 words) and a direct-mapped cache of eight 16-bit words. Draw how these memory addresses would be placed in If the cache type in last question were fully-associative, show one way of placing the contents of the given addresses. 5. 6. Refer to the table below that shows the contents (program/instructions) in the main memory. Start with an empty (invalid) (fully associative) cache. Fill out the tag and data arrays of the cache after two cache misses. Each cache line can store four instructions. MAIN MEMORY- Address/ Tag Array Memory contents ADD SUB OR JUMP 16 MUL NAND INC NOR XOR DIV NOT XNOR HLT Address Data Array A000 A004 A008 A00C A010 A014 A01C A020 A024 A028 A02C A030 A034