Let x and y be machine numbers in a 32-bit word-length computer. Let u and v be real numbers in the range of a 32-bit word length computer but not machine numbers. Find a realistic upper bound on the relative round off error when u and v are read into the computer and then used to compute (x + y)/(uv). As usual, ignore products of two or more numbers having magnitudes as small as 2−24. Assume that no overflow or underflow occurs in this calculation.
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