Question: (1) For an 8-bit computer, the float number is stored as a 1-bit sign, 3-bit signed exponent, and 4- bit mantissa part, as shown

(1) For an 8-bit computer, the float number is stored as a

(1) For an 8-bit computer, the float number is stored as a 1-bit sign, 3-bit signed exponent, and 4- bit mantissa part, as shown in the diagram below. What is the smallest positive based-10 number that can be represented? Show your steps carefully. (12.5 marks) 4 (2) What is the true error in calculating the derivative of sin(2x) at x = 14 by using the forward finite difference method with a step size of h = 0.1 (keep three significant figures)? (12.5 marks)

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