ee101_hw2_sol

ee101_hw2_sol - EE 101 Homework 2 Redekopp Name:...

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EE 101 Homework 2 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 = m1 + m3 + m5 = Σ ABC (1,3,5) 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 = Σ ABCD (2,3,6,13,15) = A‟B‟CD‟ + A‟B‟CD + A‟BCD‟ + ABC‟D + ABCD = Π ABCD (0,1,4,5,7,8,9,10,11,12,14) = (A + B + C + D) • (A + B + C + D‟) • (A + B‟ + C + D) • (A + B‟ + C + D‟) • (A + B‟ + C‟ + D‟) • (A‟ + B + C + D) • (A‟ + B + C + D‟) • (A‟ + B + C‟ + D) • (A‟ + B + C‟ + D‟) • (A‟ + B‟ + C + D) • (A‟ + B‟ + C‟ + D) 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
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4.a F = X + [(W‟Y‟Z)(W + (X‟(Y + Z)))] = X + [W‟Y‟Z(W + X‟Y + X‟Z)]
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ee101_hw2_sol - EE 101 Homework 2 Redekopp Name:...

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