sp07-jh-s2 - ECE 2030 Introduction to Computer Engineering...

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ECE 2030 -- Introduction to Computer Engineering EXAM #2 SOLUTION February 26, 2007 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) G(A, B, C) = Σ m ( 0, 1, 4, 7 ) G(A, B, C) = Π M ( 2, 3, 5, 6 ) C. (2 points) Problem 3. (12 points) A. (6 points) B. (4 points) X Y = 0 0 0 1 1 0 1 1 FUNCTION LF0 LF1 LF2 LF3 X 1 1 0 0 X + Y 0 1 1 0 X + Y 1 0 1 1 + = exclusive-OR A B C G 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 00 01 11 10 CD AB 00 0 x 1 x 01 0 0 1 x 11 1 x 0 1 10 x 1 1 0 0 1 2 3 0 C F A B 0 1 2 A 3 B 4 C 5 6 7 C. (2 points) I0 I1 I2 I3 I4 I5 I6I7 D 2 D 1 D 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 1 F
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ECE 2030 -- Introduction to Computer Engineering EXAM #2 SOLUTION February 26, 2007 Page 2 of 5 Problem 2. (18 points) A. (8 points) work copy Final SOP Final POS F(A, B, C, D) = B D + A C D + A C D + A B C
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