Quiz 2 Solutions for Computing Techniques | ME 2016, Quizzes of Computer Science

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2016 ME (6 19 January 2001 © ‘o Nam (Closed books, notes, and no calculators) These problems are similar to HW01. Assume the numbers and results are stored as a floating point representations th signed 2 digit exponents and signed 4 digit mantissas similar to Section 3.4.2. However, intermediate calculations may contain a larger mantissa (this is similar to the actual situation with microprocessors). Round the final result. 12030 Ki0™ 1. (a) 2.030 x 104 + 1.032 x 10-7 = (b) How many significant figures are there in the result? AT Z.0 30 wo! 2OD.30 OBZ VO TO 08e 2e.slo sz e20 30 X10° 120 B49 % zm 4 2. (a) 160.2 x 102-1597 x 10'= __. = 3000 XO _ L (b) How many significant figures are there in the result? 4 7 60-2 v9 % eu S397 X00 Ft | ERO 3413 \ xe *~\ S770 4 - \4a2 060 5d, 1997 Kot - 4 . 5000 0 2.00% “ 2 7O8a > au ONO Cy V3F ‘4 ul 3. A package known to weigh 25 lbs reads 25.5 Ibs on an old scale. 4 true re -~~5 {a) What is the true error in the reading? ({b} What is the true percent relative error in the reading? tuue Eccar = True vole -— Appr = 25-25,.8 tre’ rel crore = deve tne eae Be Heme VR 26 - .o? ~.8 © vA ‘Se 2s 4 5 [, 50 o — se ~,OL Ye eo