quiz1 and ans

quiz1 and ans - AMSC/CMSC 660 Quiz 1 Fall 2006 Show all...

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AMSC/CMSC 660 Quiz 1 , Fall 2006 Show all work. You may leave arithmetic expressions in any form that a calculator could evaluate. By putting your name on this paper, you agree to abide by the university’s code of academic integrity in completing the quiz. Use no books, calculators, cellphones, other electronic devices, communica- tion with others, scratchpaper, etc. 1. (8) For each machine-representable number r , define f(r) to be the next larger machine-representable number. Consider the following statements: (a) For fixed point (integer) arithmetic, the distance between r and f(r) is constant. (b) For floating point arithmetic, the relative distance |(f(r)-r)/r| is constant (for r 6 = 0). Are the statements true or false? Give examples or counterexamples to ex- plain your reasoning. Answer: (a) This is true. The integers are equally spaced, with distance equal to 1, and you can easily generate examples. (b) This is only approximately true.

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• Fall '06
• oleary
• Rational number, Fixed-point arithmetic, relative distance, machine-representable number

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