ee101_hw3_fall06_sol

ee101_hw3_fall06_sol - EE 101 Homework 3 Fall '06 Redekopp...

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EE 101 Homework 3 Fall ’06 Redekopp Name: ___Solutions_____________________________ Lecture 9:30 / 11:00 / 2:00 Due: Score: ________ Show work to get full credit. Remember, use on only one side of the paper and staple them together. Only use a calculator to CHECK your work, not to DO your work. 1.a F = (A’+B’)(C) ABC A’ B’ A’ + B’ CF 000 1 1 1 0 0 001 1 1 1 1 1 010 1 0 1 0 0 011 1 0 1 1 1 100 0 1 1 0 0 101 0 1 1 1 1 110 0 0 0 0 0 111 0 0 0 1 0 F = A’B’C’ + A’BC’ + AB’C’ = m0 + m2 + m4 = Σ ABC (0,2,4) 1.b G = WX’ + XY’ + W’ WXY X’ W • X’ Y’ X • Y’ W’ F 000 1 0 1 0 1 1 001 1 0 0 0 1 1 010 0 0 1 1 1 1 011 0 0 0 0 1 1 100 1 1 1 0 0 1 101 1 1 0 0 0 1 110 0 0 1 1 0 1 111 0 0 0 0 0 0 G = W’X’Y’ = M7 = Π WXY (7)
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2.a G = Π ABC (0,3,5,6,7) = (A + B + C) • (A + B’ + C’) • (A’ + B + C’) • (A’ + B’ + C) • (A’ + B’ + C’) = Σ ABC (1,2,4) = A’B’C + A’BC’ + AB’C’ 2.b F = Σ xyz (0,1,4,5,7) = X’Y’Z’ + X’Y’Z + XY’Z’ + XY’Z + XYZ
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ee101_hw3_fall06_sol - EE 101 Homework 3 Fall '06 Redekopp...

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