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CS 3853 Computer Architecture Recitation 1 Fall 2013

There will be a quiz in the first 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 (yx), and logs.
You may not use a calculator that can connect to a network, such as a cell phone.
The quiz will consist of three questions and each problem is worth 3 points: Two of the problems will be similar to the first two daily questions from the first class.. The third question will be of the form:
If A is n% faster than B, and B is m% faster than C, how much faster is A than C?

After turning in the quiz, start on the problems below.
  1. If machine performance improves by 20% per year, by what percentage will it have improved after 5 years?
  2. If machine A is 60% faster than machine B and machine A is 80% faster than machine C, how much faster is machine B than C?
  3. If machine performance has improved by a factor of 10,000 over 30 years, at what percentage did it increase each year, assuming that each year had the same percentage increase?
  4. Estimate the number of dies on a 300 mm wafer if the dies are 15 mm by 10 mm.
    (Use the formula on page 30 of the text.)
  5. For the above problem if it costs $5,000 to produce a wafer, how much would it cost for each die if the yield is 50%?
  6. The MTTF of a new disk drive is 1,000,000 hours. You create a disk farm from 1000 of these new disks.
    1. How many would you expect to fail in the first year?
    2. How many these disks would you have to replace in the first 20 years?