Assume for arithmetic, load/store, and branch instructions, a processor core has CPIs of 1,12 and 5 respectively. Also assume that on a single processor core a program requires the execution of 2.56E9 arithmetic instructions, 1.28E9 load/store instructions, and 256.0E6 branch instructions. Assume all processor cores run at 2 GigaHertz. Assume that, as the program is parallelized to run over multiple processor cores, the number of load/store instructions per processor core is divided by .5 times p for all number of cores greater then 1, where p is the number of cores. Assume that the number of arithmetic and branch instructions per core stays the same.

a)Find the total execution time for the program on 1,2,4 cores

b)Find the relative speed up on 2,4 cores compared to one core