Please solve all parts of this one question. Thank you. (a,b,c,d). There is no coding in this question required. Just mathematical answers and theoretical answers.

Consider a program with the following mix of instructions

40% R-type arithmetic instructions, 25% load instructions, 20% store instructions, 10% branch instructions and 5% unconditional jump instructions.

a. What percentage of all memory accesses during the execution of this program are for data (as opposed to instructions) and what percentage of all memory accesses (including data and instructions) are reading from memory (as opposed to writing to memory)?

b. Assume that the instruction mix for this program is typical of all the programs that execute on a 1 GHz machine in which the R-type instructions execute in 6 cycles, the load and store instructions in 4 cycles, the branch instructions in 3 cycles and the jump instructions in 2 cycles. What is the performance expressed in instructions per second for that machine?

c. Assume that it is possible to change the architecture so as to save one cycles from the execution of each instruction. That is the R-type instructions execute in 5 cycles, the load and store instructions in 3 cycles, the branch instructions in 2 cycles and the jump instructions in 1 cycle. This architecture change, however, will require that the machine operates at 800MHz rather than 1GHz. Would you recommend that change? Justify your answer.

d. When running this program, another machine with 1.5 GHz has the same performance as the machine in b, what is the CPI for the new machine?