midterm-solution - Faculty of Engineering ELECTRICAL AND...

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Faculty of Engineering ELECTRICAL AND ELECTRONIC ENGINEERING DEPARTMENT EENG115/INFE115 Introduction to Logic Design EENG211/INFE211 Digital Logic Design I Spring 2009-10 Instructors: M. K. Uyguro ğ lu H. Demirel Midterm EXAMINATION Apr. 15, 2010 Duration : 100 minutes Number of Problems: 5 Good Luck STUDENT’S NUMBER NAME SOLUTIONS SURNAME GROUP NO Problem Achieved Maximum 1 20 2 20 3 20 4 20 5 20 TOTAL 100
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Introduction to Logic Design/ Digital Logic Design I - Midterm Examination Question 1 (20 points) a. Convert the following octal number (270.4) 8 to decimal. (5 pts.) 270.4 = 2 x 8 2 + 7 x 8 1 + 0 x 8 0 + 4 x 8 -1 = 128 + 56 + 0.5 = 184.5 10 b. Convert the decimal number (45.0625) 10 to binary, octal and hexadecimal. (15 pts.) 45 22 1 0.0625 x 2 = 0.125 0 11 0 0.125 x 2 = 0.25 0 5 1 0.25 x 2 = 0.5 0 2 1 0.5 x 2 1 1 1 0 0 1 0.0625=0.0001 45 = 101101 45.0625= 101101.0001 101101.000100 = 55.04 8 00101101.0001= 2D.1 16 M. K. Uyguro ğ lu, H. Demirel Apr. 15, 2010
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Introduction to Logic Design/ Digital Logic Design I - Midterm Examination Question 2 (20 points): a) Find the ( r -1)’s and r ’s complements of the following numbers in the indicated bases. (10 pts.) i. (4190) 10 9’s complement of 4190 = 5809
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midterm-solution - Faculty of Engineering ELECTRICAL AND...

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