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8 - December 2007 [WEBCT] [Done]

# 8 - December 2007 [WEBCT] [Done] - McGill University...

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ECSE-221A Final Examination Version 1 Initials ________ Exam 2007A - 2 TEST QUESTIONS PART 1 - This part consists of 20 multiple choice questions. Indicate the correct answer to each question on the computer readable sheets provided. 1. Determine the best minimal canonical forms corresponding to the following sum of products form: A, B, C, D (0,1,2,3,5,7,9,11,13,15) (a) D D B A (b) AD B A (c) D A B A (d) ) )( ( D B A (e) D B A Answer is (e) 2. Convert 6AA.E42 16 into its decimal equivalent. Remember to use the correct number of significant figures. (a) 1707 (b) 1706.891113 (c) 1706.8911 (d) 1706.89 (e) 1706 Answer: How many digits do we need after the decimal point? #digits10 = #digits16 * [log (16)/log (10)] = 3 * 1.2041... = 3.6123... So, rounding up, we need 4 digits after the decimal point = (6 * 16 2 ) + (A * 16 1 ) + (A * 16 0 ) + (E * 16 -1 ) + (4 * 16 -2 ) + (2 * 16 -3 ) = (6*256)+(A*16)+(A*1)+(E*0.0625)+(4*.00390625)+(2*.000244140625) = 1536 + 160 + 10 + 0.875 + 0.015625 + 0.00048828125 = 1706.891113 = 1706.8911 Answer is (c)
ECSE-221A Final Examination Version 1 Initials ________ Exam 2007A - 3

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