ee101_hw3_sol

# Ee101_hw3_sol - EE 101 Homework 3 Redekopp Name_Solutions Due Score Show work to get full credit Remember use on only one side of the paper and

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EE 101 Homework 3 Redekopp Name: ___Solutions_____________________________ 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‟ C F 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 = Π xyz (2,3,6) = (X + Y‟ + Z)(X + Y‟ + Z‟)(X‟ + Y‟ + Z) 3.a F = X + (W‟Y‟Z)(W + (X‟(Y + Z))) W’ Z Y’ X W X’ W X F 3.b G = AB + D(B‟ + C)(A‟ + C) B’ A’ D A B G C
4.a F = X + [ (W‟Y‟Z)(W + (X‟(Y + Z))) ] = X + [

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## This note was uploaded on 06/23/2008 for the course EE 101 taught by Professor Redekopp during the Fall '06 term at USC.

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Ee101_hw3_sol - EE 101 Homework 3 Redekopp Name_Solutions Due Score Show work to get full credit Remember use on only one side of the paper and

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