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fa10-sw-e2 - ECE 2030 B 12:00pm 4 problems 5 pages Computer...

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ECE 2030 B 12:00pm Computer Engineering Fall 2010 4 problems, 5 pages Exam Two 27 October 2010 Instructions: This is a closed book, closed note exam. Calculators are not permitted. If you have a question, raise your hand and I will come to you. Please work the exam in pencil and do not separate the pages of the exam. For maximum credit, show your work. Good Luck! Your Name ( please print ) ________________________________________________ 1 2 3 4 total 40 18 30 12 100 1
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ECE 2030 B 12:00pm Computer Engineering Fall 2010 4 problems, 5 pages Exam Two 27 October 2010 Problem 1 (4 parts, 40 points) Safety in Numbers Part A (10 points) Convert the following notations: binary notation decimal notation 1 0111 1100. 1100.1011 69.4375 binary notation hexadecimal notation 101 1001 0101.0101 101 8B6.3C Part B (12 points) For the 28 bit representations below, determine the most positive value and the step size (difference between sequential values). All answers should be expressed in decimal notation . Fractions (e.g., 3/16ths) may be used. Signed representations are two’s complement. representation most positive value step size unsigned fixed-point (26 bits) . (2 bits) signed integer (28 bits) . (0 bits) signed fixed-point (21 bits) . (7 bits)
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