Consider a binary machine with a 4-bit mantissa and 8-bit exponent. Suppose a = (3)base10 and b = (7.5)base10 .

(a) Suppose x = a + b. Find the value of fl(x) after the machine computes the addition (assume rounding). Represent your answer in base-10.

(b) Compute the relative error associated with the addition in part (a).