Question:Consider the expressions: (a)F = XY + XY' (b)B = XYZ + XYZ' + X'Y'Z + X'Y'Z' (c)D = W'X'Y'Z' + W'X'YZ' + W'XY'Z' + W'XYZ' Example For each of these expressions, 1i.Build the truth table ii.Implement the logic circuit 2i.Simplify the expression using theorems of Boolean Algebra ii.Build the truth table (of the simplified expression) iii.Implement the logic circuit 3Simplify the expression using Karnaugh map
Question:(a)F = XY + XY' 1ii.Implement the logic circuit 1i.Build the truth table XYF XYF X Y Y' XY XY' F = XY + XY'
Question:(a)F = XY + XY' 2ii.Build the truth table (of the simplified expression) 2i.Simplify the expression using theorems of Boolean Algebra F=XY + XY' =X(Y + Y') =X. 1 =X XYF0x01x1XYF0x01x1 2iii.Implement the logic circuit XF = X
Question:(a)F = XY + XY' 3Simplify the expression using Karnaugh map 0 X Y F=XF=X
Question:(b) B = XYZ + XYZ' + X'Y'Z + X'Y'Z' 1i.Build the truth table XYZB XYZB
Question: (b) B = XYZ + XYZ' + X'Y'Z + X'Y'Z' 1ii.Implement the logic circuit XYZ X'Y'Z' B = XYZ + XYZ' + X'Y'Z + X'Y'Z' XYZ XYZ' X'Y'Z X'Y'Z'
Question:(b)B = XYZ + XYZ' + X'Y'Z + X'Y'Z' 2ii.Build the truth table (of the simplified expression) 2i.Simplify the expression using theorems of Boolean Algebra B=XYZ + XYZ' + X'Y'Z + X'Y'Z' =XY(Z + Z') + X'Y'(Z + Z') =XY + X'Y' XYZB00x101x010x011x1XYZB00x101x010x011x1
2iii.Implement the logic circuit Question:(b)B = XYZ + XYZ' + X'Y'Z + X'Y'Z' X Y Y' XY X'Y' B = XY + X'Y' X' 3Simplify the expression using Karnaugh map B=X'Y' + XY 1 X YZ
Question: (c)D = W'X'Y'Z' + W'X'YZ' + W'XY'Z' + W'XYZ' 1i.Build the truth table WXYZB WXYZB
Question: (c)D = W'X'Y'Z' + W'X'YZ' + W'XY'Z' + W'XYZ' 1ii.Implement the logic circuit
Question: (c)D = W'X'Y'Z' + W'X'YZ' + W'XY'Z' + W'XYZ' 2ii.Build the truth table (of the simplified expression) 2i.Simplify the expression using theorems of Boolean Algebra D=W'X'Y'Z' + W'X'YZ' + W'XY'Z' + W'XYZ' =W'Z'(X'Y' + X'Y + XY' + XY) =W'Z'((X'(Y' + Y) + X(Y' + Y)) =W'Z'(X' + X) =W'Z' WXYZD0xx010xx101xx001xx10WXYZD0xx010xx101xx001xx10
2iii.Implement the logic circuit Question: (c)D = W'X'Y'Z' + W'X'YZ' + W'XY'Z' + W'XYZ' 3Simplify the expression using Karnaugh map D=W'Z' W Z 1 WX YZ