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For this problem, assume a binary computer with 12 bits in the floating-point mantissa.
(a) What is the machine precision eps?
(b) Let x = 6/7 and x* be the correctly rounded machine approximation to x (symmetric rounding). Exhibit x and x* as binary numbers.
(c) Determine (exactly!) the relative error E of x* as an approximation to x? and calculate the ratio l~l/eps.

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