2.7) F(X,Y,Z) = XY Z + Z A.X + Y + Z B. XY + Z...

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2.7) F(X,Y,Z) = XY Z + Z A.X + Y + Z B. XY + Z C. XY D.X + Y 2.8) Indicate the theorems of Boolean algebra that was used in 2.7 A. Simplification and Consensus B. DeMorgan's law and complement C. DeMorgan's law and consensus D. Simplification and distributive 2.9) F(W, X,Y,Z) = (W+XY) ( + + ) (W + Z) A. (W + XY) (X + Y+ Z) B. (X + + ) (W + Z) C. (Y+ Z) (W +) D. (W + XY) (W + ) 3.0) Indicate the theorems of Boolean algebra that was used in 2.9 A. DeMorgan's law and simplification B. Idempotent and Simplification C. DeMorgan's law and consensus D. Consensus and distributive 3.1) F(W,X,Y, Z) = (W+x)(W+Y)(XY + Z)(W + Z) A. (XY) (Z + XY) B. (XY + W)(W + Z) C. (W + Z) (W + XY) D. (W + XY) (Z + XY) 3.2) Indicate the theorems of Boolean algebra that was used in 3.1 A. Simplification and consensus B. Distributive and consensus C. DeMorgan's law and simplification D. DeMorgan's law and consensus 3.3) F(X, Y, Z) = (XY +) + XY+XZ A.XY+XZ B. YZ + XY C.XZ + XY D.XYZ + Z 3.4) Indicate the theorems of Boolean algebra that was used in 3.3 A. DeMorgan's Law, Distributive, and Complement B. Simplification and Distributive C. Distributive, Idem potent, and Complement D. Demorgan's Law, Simplification, and Consensus Prob. 4 Consider the function f (A, B, C, D) = B + BC + AD 4.1) Which "little m" expression is correct for fA,B,C,D)? A. Em(0,1,2,3,4,5,8,9,11,12,13,15) B. Zm(0,1,2,3,8,9,10,11,14,15) C. Zm(4.5.6.7.11.12.13.15) 4.2) Which "big M" expression is correct for fA,B,C,D)? A. IIM (2,3,5,6,7,14,15) B. IIM (6,7,13,15) C. IIM (0,1,2,3,8,9,10,11,14,15) D. IIM (0,1,2,3,4,5,8,9,10,11,12,14) Prob. 5 Consider the function: f(A,B,C) = m(2,3,4,6) 5.1) Which "little m" expression is correct for the complement of f(A,B,C)? A. m (1,3,4,7) . m (0,2,5,6) C. Em (0,1,5,7) D. m (2,3,4,7) 5.2) Which "big M" expression is correct for the complement of f(A,B,C)? . (2,4,5,7) . (2,3,4,6) C. (4,5,6,7) D. IIM (1,2,5,6) Part II Prob. 6 (2pts) Given F (A, B, C) = BC A, choose its correct SOP form. A.F(A, B, C) = AB + AC + AB B.F(A,B, C) = AB+ AC + ABC C.F(A, B, C) BC + AB + AB D.F (A, B,C) ABC + AB + C E.F(A, B, C) BC + AB + ABC 2.7) F(X,Y,Z) = XY Z + Z A.X + Y + Z B. XY + Z C. XY D.X + Y 2.8) Indicate the theorems of Boolean algebra that was used in 2.7 A. Simplification and Consensus B. DeMorgan's law and complement C. DeMorgan's law and consensus D. Simplification and distributive 2.9) F(W, X,Y,Z) = (W+XY) ( + + ) (W + Z) A. (W + XY) (X + Y+ Z) B. (X + + ) (W + Z) C. (Y+ Z) (W +) D. (W + XY) (W + ) 3.0) Indicate the theorems of Boolean algebra that was used in 2.9 A. DeMorgan's law and simplification B. Idempotent and Simplification C. DeMorgan's law and consensus D. Consensus and distributive 3.1) F(W,X,Y, Z) = (W+x)(W+Y)(XY + Z)(W + Z) A. (XY) (Z + XY) B. (XY + W)(W + Z) C. (W + Z) (W + XY) D. (W + XY) (Z + XY) 3.2) Indicate the theorems of Boolean algebra that was used in 3.1 A. Simplification and consensus B. Distributive and consensus C. DeMorgan's law and simplification D. DeMorgan's law and consensus 3.3) F(X, Y, Z) = (XY +) + XY+XZ A.XY+XZ B. YZ + XY C.XZ + XY D.XYZ + Z 3.4) Indicate the theorems of Boolean algebra that was used in 3.3 A. DeMorgan's Law, Distributive, and Complement B. Simplification and Distributive C. Distributive, Idem potent, and Complement D. Demorgan's Law, Simplification, and Consensus Prob. 4 Consider the function f (A, B, C, D) = B + BC + AD 4.1) Which "little m" expression is correct for fA,B,C,D)? A. Em(0,1,2,3,4,5,8,9,11,12,13,15) B. Zm(0,1,2,3,8,9,10,11,14,15) C. Zm(4.5.6.7.11.12.13.15) 4.2) Which "big M" expression is correct for fA,B,C,D)? A. IIM (2,3,5,6,7,14,15) B. IIM (6,7,13,15) C. IIM (0,1,2,3,8,9,10,11,14,15) D. IIM (0,1,2,3,4,5,8,9,10,11,12,14) Prob. 5 Consider the function: f(A,B,C) = m(2,3,4,6) 5.1) Which "little m" expression is correct for the complement of f(A,B,C)? A. m (1,3,4,7) . m (0,2,5,6) C. Em (0,1,5,7) D. m (2,3,4,7) 5.2) Which "big M" expression is correct for the complement of f(A,B,C)? . (2,4,5,7) . (2,3,4,6) C. (4,5,6,7) D. IIM (1,2,5,6) Part II Prob. 6 (2pts) Given F (A, B, C) = BC A, choose its correct SOP form. A.F(A, B, C) = AB + AC + AB B.F(A,B, C) = AB+ AC + ABC C.F(A, B, C) BC + AB + AB D.F (A, B,C) ABC + AB + C E.F(A, B, C) BC + AB + ABC

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Solutions Step 1 Lets solve each part step by step 27 FXYZ XYZ ZA X Y Z Step 1 Apply theorems of Boolean algebra to simplify the expression First notice that the term X Y Z is redundant because its co... View the full answer