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mt1-_solutions - 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 Fall 2009-10 Instructors: M. K. Uyguro ğ lu – H. Demirel Midterm EXAMINATION Nov 24, 2009 Duration : 90 minutes Number of Problems: 10 Good Luck ST. NUMBER ST. NAME AND SURNAME ST. GROUP NO Problem Score Points 1 2 3 4 5 6 7 8 9 10 TOTAL
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Digital Logic Design I - Midterm Examination 1. Convert the following binary numbers to decimal: a. 110110100 ( ? pts .)=256+128+32+16+4= 436 b. 10101101 ( ? pts .)= 128+32+8+4+1=173 2. Convert the following decimal numbers to the bases indicated. a. 175 to binary =10101111 ( ? pts .) b. 175 to octal =257 8 ( ? pts .) c. 175 to hexadecimal = AF 16 ( ? pts .) 3. Perform the following addition by using signed-2’s complement of the decimal numbers. a. (-48)+(-25) ( ? pts .) b. (-72) - (-27) ( ? pts .) a. 48 10 =00110000 2 -48=11010000 25 10 =00011001 2 -25=11100111 -48 11010000 +(-25) 11100111 110110111 -73 72 10 =01001000 -72=10111000 27 10 =00011011 -72+27= 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 4. Simplify the following expressions using Boolean algebra.
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