ECE 2030 Introduction to Computer Engineering February 26 2007 EXAM 2 SOLUTION Page 1 of 5 Problem 1 10 points A 4 points F A B C A B C A B C A B C A B C A B C sum of minterms F A B C A B C A B C A B C product of maxterms B 4 points A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 G 1 1 0 0 1 0 0 1 G A B C m 0 1 4 7 G A B C M 2 3 5 6 CD 00 01 11 10 00 0 x 1 x 01 0 0 1 x 11 1 x 0 1 10 x 1 1 0 AB C 2 points Problem 3 12 points A 6 points B 4 points XY 00 01 10 11 FUNCTION LF0 LF1 LF2 LF3 X 1 1 0 0 X Y 0 1 1 0 X Y 1 0 1 1 C 0 0 1 F 2 3 A B exclusive OR C 2 points I0 I1 I2 I3 I4 I5 I6I7 D2D1D0 1 0 1 1 0 1 0 1 010 0 1 0 0 0 1 0 1 001 A B C 0 1 2 3 4 5 6 7 F ECE 2030 Introduction to Computer Engineering February 26 2007 EXAM 2 SOLUTION Page 2 of 5 Problem 2 18 points A 8 points CD CD 00 01 11 10 00 0 1 1 1 01 0 1 0 11 0 0 10 0 1 AB CD 00 01 11 10 00 0 1 1 1 1 01 0 1 0 1 1 11 0 0 1 0 10 0 1 AB work copy 00 01 11 10 00 0 1 1 1 1 01 0 1 0 1 1 1 11 0 0 1 1 1 0 10 0 1 1 0 AB Final SOP Final POS F A B C D B D A C D A C D A B C 2 essential F A B C D C D A B C A B D A B C D 4 essential B 10 points CD CD 00 01 11 10 00 1 1 x 0 01 1 0 x 11 1 x 10 0 1 AB CD 00 01 11 10 00 1 1 x 0 1 01 1 0 x 0 x 11 1 x 1 x 10 0 1 AB work copy 00 01 11 10 00 1 1 x 0 1 01 1 0 x 1 0 x 11 1 x 0 x 1 x 10 0 1 1 x AB Final SOP Final POS G A B C D B D B D A B C or A C D 0 essential G A B C D B D A B D A B C or B C D 2 essential Problem 4 10 points A 4 points F A I A A B I B A B C IC OR F A IA A B IB A B IC VALID EN A B C B 6 points Solutions will vary depending on equations used
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