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1. Why are IEEE FP numbers not the same as real numbers – or even rational numbe
1. Why are IEEE FP numbers not the same as real numbers – or even rational numbers? Why are “Integer” numbers on a computer not the same as the Integer numbers in Mathematics? Your answer must include Mathematical definitions of the Integers and the Reals, and also the computer definitions of Integers and Floating Point numbers.
2. What is out-of-order execution? How is it related to pre-fetching instructions? Give an example of where it occurs. Your answer must include a discussion about how and why we predict a branch, and why we may partially unroll loops.
3. Why do CPUs typically require more power than domain specific processors (DSA)? What percentage of ISA design do you think is affected by the power issue, and what percent is determined by the need to focus on RISC architecture?
4. Assume you have a new processor in front of you and you want to know how large to construct your input set. What type of a graph can you draw to help you decide when you are weakly scaling the built-in parallelism in your system, and when you have reached Amdahl’s law limits? Describe the axis of this graph, and the part on the graph that tells you you’ve reached Amdahl’s law limits.
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