Consider a processor with one 64-bit wide DDR4-1333 channel. The channel can accommodate up to four DRAM ranks. Assume that all the four ranks are populated with 8 Gbit DRAM chips. Also, assume that each chip has an output width of 8 bits. (a) (6 points) How many DRAM chips are needed to populate all the DRAM ranks? (b) (4 points) What is the total DRAM capacity in the system? (c) (6 points) Assume that the data bus utilization is 60%. Calculate the data transfer rate in Gigabytes per second. (d) (9 points) Assume that each DRAM chip has 16 banks. Also, assume that a row in a bank has a capacity of 2 Kbytes. The following address mapping is used to map physical addresses to DRAM: Row Bank Rank Column Calculate the number of address bits needed to address each of the above fields (Column, Rank, Bank, and Row).