CS 3853 Architecture Recitation 2

There will be a quiz in this recitation.
It will be a closed book exam. You may not use a computer.
You should bring a calculator that can do add, subtract, multiply, divide, powers (y^x), and logs.
The quiz will consist of three questions and each problem is worth 3 points:

1 point for turning in the paper
2 points for showing some reasonable work
3 points for showing work and getting the correct answer and putting a box around it

The questions will involve calculating speedup either directly or using Amdahl's law and calculating CPI.
After turning in the quiz, start on the problems below.

If we reduce the CPI from 6 to 5 while increasing the clock cycle from 1 ns to 1.2 ns, what is the speedup?
Moore's law says that the number of transistors on a chip will double every 18 months. In 1979, the number of transistors on a chip was about 30,000. What would Moore's law predict for the number of transistors on a chip today?
The number of transistors on a chip in 1979 was about 30,000 and in 2010 was about 3,000,000,000. This corresponds to double the number of transistors on a chip how often?
The integer SPECRatio of machine A is twice the integer SPECRatio of machine B. A task takes 50 seconds to run on machine A. How long will it take to run on machine B?
Machine A executes integer instructions 30% faster than machine B, but machine B executes floating point instructions 50% faster than machine A. On other instructions the machines are the same speed. If a task on A spends 40% of its time executing integer instructions and 30% of its time executing floating point instructions, which machine is faster and what is the speedup?
Suppose you have two programs you are going to run. 50% of Program A can be enhanced with a speedup of 2 and 90% of Program B can be enhanced with a speedup of 2.
1. What is the overall speedup for Program A?
2. What is the overall speedup for Program B?
3. If when run together before enhancement, the Program A uses 80% of the resources and Program B uses 20% of the resources, what is the overall speedup when the two programs are run together?