1. (Hennessy and Patterson, p.60, 1.2) Assume that we make an enhancement to a computer that improves some mode of execution by a factor of 10. Enhanced mode is used 50% of the time, measured as a percentage of the time when the enhanced mode is in use.
2. The state diagram for the Goodman cache consistency scheme makes one assumption about the size of the cache blocks. What is it? (Hint: Focus on the case in which a block is in the DIRTY state and a BW signal comes in. Where do we go? Why?) If that assumption is not made, what will be the change in the state diagram? Draw the new state diagram.
3. Draw the state diagrams for the write-through and Illinois cache consistency schemes. (The flow diagrams for these schemes are given in the cache consistency handout)
4. In an Omega network as presented in class, assume that there are n inputs and n outputs. Let k be the size of each switch. For k taking the values 2, 4, 8, and 64, answer the following questions. (Assume the cost of each switch is k^2)
5. We have got the following expression to compute:
a*x^6 + b*x^5 + c*x^4 + d*x^3 + e*x^2 + f*x + g