chap05 - ECEn/CS 224 Chapter 5 Homework Solutions 5.1 Write...

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Last updated: 9/23/2006 ECEn/CS 224 Chapter 5 Homework Solutions 5.1 Write the minterm expansion for the function shown in Figure 5.10. For the minterm expansion, look at where the ones appear in the table and list the terms: F(A,B,C) = Σ m(0,1,3,5,6) 5.2 Write the maxterm expansion for the function in the previous problem. For the maxterm expansion, look at where the zeros appear in the truth table and list those terms, or simply list the terms that are missing from the minterm expansion of the previous problem. F(A,B,C) = Π M(2,4,7) 5.3 Take the inverse of following expression (do not further minimize): [(AB+C’+0)(A’+B’(D+C))] [(AB+C’+0)(A’+B’(D+C))]’ = (AB+C’+0)’+(A’+B’(D+C))’ by DeMorgan’s = (AB)’•C•1 + A•(B’• (D+C))’ by DeMorgan’s = (A’+B’)•C•1 + A• (B+D’•C’) by DeMorgan’s Since the four expressions above are equal (by DeMorgan’s laws), they are all the inverse of the original expression. By repeatedly applying DeMorgan’s laws, we can arrive at the final expression shown above.
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chap05 - ECEn/CS 224 Chapter 5 Homework Solutions 5.1 Write...

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