F1011-EENG211-MT_SOLUTIONS

# F1011-EENG211-MT_SOLUTIONS - Faculty of Engineering...

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Faculty of Engineering ELECTRICAL AND ELECTRONIC ENGINEERING DEPARTMENT EENG115/INFE115 Introduction to Logic Design EENG211/INFE211 Digital Logic Design I Fall 2010-11 Instructors: M. K. Uyguroğlu H. Demirel Midterm EXAMINATION Nov. 09, 2010 Duration: 100 minutes Number of Problems: 6 Good Luck STUDENT’S NUMBER NAME SOLUTIONS SURNAME GROUP NO Problem Achieved Maximum 1 15 2 15 3 10 4 20 5 20 6 20 TOTAL 100

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Introduction to Logic Design/ Digital Logic Design I - Midterm Examination M. K. Uyguroğlu , H. Demirel Nov. 09, 2010 Question 1 (15 points) a. Convert the following decimal number, 27.03125 10 , to octal and hexadecimal. (7 pts.) Integer Remainder 27 3 3 0 3 27 10 =33 8 Coefficient 0.03125 × 8 = 0.25 0 0.25 × 8 = 2.0 2 0.03125 10 =0 .02 8 27.03125 10 =33.02 8 011 011.000 010 1B.08 16 b. Convert the following hexadecimal number, 32.125 16 to binary and octal. (8 pts.) 32.125 16 = 00110010.000100100101 2 =062.0445 8
Introduction to Logic Design/ Digital Logic Design I - Midterm Examination M. K. Uyguroğlu , H. Demirel Nov. 09, 2010 Question 2 (15 points): a) Find the ( r - 1)’s and r ’s complements of the following numbers in the indicated bases. (15 pts.) i. (2556) 8

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