Question 2: [2 points] In what sense are hardware and software equivalent? Not equivalent? Question 3:...

 

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Question 2: [2 points] In what sense are hardware and software equivalent? Not equivalent? Question 3: [3 points] In the von Neumann model, explain the following: a) The CPU b) The PC (program counter) c) Registers Question 4: [2 points] What are the limitations of Moore's Law? Why can't this law hold forever? Explain. Question 5: [2 points] Convert the following hexadecimal numbers to base 2. a) CAFE8A8E b) F331DEAD Question 6: [2 points] Show the Octal and hexadecimal representation of the following bit pattern: 101101110001 Question 7: [2 points] What decimal value does the 8-bit binary number 10111010 have? a) if it is on a computer that uses 1-complement representation b) if it is on a computer that uses 2-complement representation Question 8: [2 points] What decimal value does the 8-bit binary number 10011001 have: a) if it is interpreted as an unsigned number b) if it is on a computer using signed-magnitude representation Question 9: [2 points] Discuss whether you can represent the base 10 numbers 0 to 8191 using 12 bits? If your answer is no, then how many bits do you need? Question 10: [2 points] It takes 5 seconds to run a program that has 30% sequential part on one CPU. How many additional same-performance CPUs do we need to reduce the running time to 2 seconds? (Use Amdahl's law) 1 Question 2: [2 points] In what sense are hardware and software equivalent? Not equivalent? Question 3: [3 points] In the von Neumann model, explain the following: a) The CPU b) The PC (program counter) c) Registers Question 4: [2 points] What are the limitations of Moore's Law? Why can't this law hold forever? Explain. Question 5: [2 points] Convert the following hexadecimal numbers to base 2. a) CAFE8A8E b) F331DEAD Question 6: [2 points] Show the Octal and hexadecimal representation of the following bit pattern: 101101110001 Question 7: [2 points] What decimal value does the 8-bit binary number 10111010 have? a) if it is on a computer that uses 1-complement representation b) if it is on a computer that uses 2-complement representation Question 8: [2 points] What decimal value does the 8-bit binary number 10011001 have: a) if it is interpreted as an unsigned number b) if it is on a computer using signed-magnitude representation Question 9: [2 points] Discuss whether you can represent the base 10 numbers 0 to 8191 using 12 bits? If your answer is no, then how many bits do you need? Question 10: [2 points] It takes 5 seconds to run a program that has 30% sequential part on one CPU. How many additional same-performance CPUs do we need to reduce the running time to 2 seconds? (Use Amdahl's law) 1