Machine A can perform 3 tasks in 5 seconds

1. 1.     Machine A can perform 3 tasks in 5 seconds. Machine B can perform 2 tasks in 4 seconds. Which machine can perform  a task faster?  How much faster is this machine than the other?

1. 2.     Suppose the clock period is 400 picoseconds. What is the clock rate in gigahertz (GHz)?

1. 3.     The portion of time a program spends performing floating-point operations is 30%. A new floating-point co-processor would perform floating-point operations five times as fast. Given that the execution time of a program required 50 seconds without the new floating-point co-processor, what would you expect the execution time of the program to be in seconds with the new floating-point co-processor?

1. 4.     Given that a program on a machine requires an average of 4 cycles per instruction, the machine has a 2 GHz clock rate, and the program executes a total of 50,000,000,000 instructions, what is the CPU time in the seconds required by this program ?

1. 5.     Consider a computer system, where each processor can independently perform a separate task. Given that the response time on a computer system for a single task is 8 seconds, how long would it take to perform 10 tasks on this system when it has four processors ? What would be the throughput per second for 10 tasks?