Web_Answers_3 - Unit 3 Problem Solutions 3.6 (a) (W + X' +...

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Unit 3 Problem Solutions (W + X' + Z') (W' + Y') (W' + X + Z') (W + X') (W + Y + Z) = (W + X') (W' + Y') (W' + X + Z') (W + Y + Z) = (W + X') [W' + Y' (X + Z')] (W + Y + Z ) = [W + X' (Y + Z)] [W' + Y'(X + Z')] = WY' (X + Z') + W'X' (Y + Z) {Using (X + Y) (X' + Z) = X'Y +XZ with X=W } = WY'X + WY'Z' + W'X'Y + W'X'Z 3.6 (a) (A + B + C + D) (A' + B' + C + D') (A' + C) (A + D) (B + C + D) = (B + C + D) (A' + C) (A + D) = (B + C + D) (A'D + AC) {Using (X + Y) (X' + Z) = X'Y + XZ with X = A } = A'DB + A'DC + A'D + ABC + AC + ACD = A'D + AC 3.6 (b) 3.7 (a) BCD + C'D' + B'C'D + CD = CD + C'(D' + B'D) = (C' + D) [C + (D' + B'D)] {Using (X + Y) (X' + Z) = X'Y + XZ with X=C } = (C' + D) [C + (D' + B') (D' + D)] = (C' + D) (C + D' + B') 3.7 (b) A'C'D' + ABD' + A'CD + B'D = D' (A'C' + AB) + D (A'C + B') = D' [(A' + B) (A + C')] + D [(B' + A') (B' + C)] {Using XY + X'Z = (X' + Y) (X + Z) twice inside the brackets} = [D + (A' + B) (A + C')] [D' + (B' + A') (B' + C)] {Using XY + X'Z = (X' + Y) (X + Z)
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Web_Answers_3 - Unit 3 Problem Solutions 3.6 (a) (W + X' +...

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