Question

Are the following statements true or false? If a statement is true, give a proof and if it's false, give a counter example. We assume no
overflow occurs in the calculations and the rounding mode used can be any of the four rounding modes.
(a) (2 points) If x is a nonzero finite floating point number, then x x = 2x
(b) (2 points) If x and y are two finite floating point number, then xy = -x).
note this is not XOR (exclusive or) but floating point addition it represents round(x+y)​

Answer 1

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