a$.)$ Say you have a program that takes a certain amount of time to run on a uniprocessor. $98\%$ of the program can be run in parallel. Ignoring synchronization and communication overheads, how much faster will the program run on an $8$ processor system?

b$.)$ How about $1024$ processors?

c$.)$ If you want to achieve a speedup of $1000$ on the $1024$ core system, what fraction of the program would need to be parallelizable?