# Simplify following functions (a) F(X, Y, Z) = XY + X0 Y + XZ Solution F(X, Y, Z) = Y(X + X0 ) + XZ =

Simplify following functions (a) F(X, Y, Z) = XY + X0 Y + XZ Solution F(X, Y, Z) = Y(X + X0 ) + XZ = Y + XZ (b) F(X, Y, Z) = (X + Y) (X0 + Y + Z) Appendix: Digital Design Laboratory Experiments Using LOGISIM 221 Solution F(X, Y, Z) = (XX0 + XY + XZ + X0 Y + YY + YZ) where XX0 = 0 and YY = Y F(X, Y, Z) = (XY + XZ + X0 Y + Y + YZ) F(X, Y, Z) = Y(X + X0 + 1 + Z) + XZ F(X, Y, Z) = Y + XZ F(X, Y, Z) = XY0 Z + XYZ + Y0 ZF(X, Y, Z) = XZ(Y0 + Y) + Y0 Z F(X, Y, Z) = XZ + Y0 Z (c) F(X, Y, Z) = XY + YX0 Z F(X, Y, Z) = Y(X + X0 Z) where X + X0 Z=X+Z F(X, Y, Z) = Y(X + Z) (d) F(X, Y, Z) = X0 Y + YXZ0 F(X,

Simplify following functions (a) F(X, Y, Z) = XY + X0 Y + XZ Solution F(X, Y, Z) = Y(X + X0 ) + XZ = Y + XZ (b) F(X, Y, Z) = (X + Y) (X0 + Y + Z) Appendix: Digital Design Laboratory Experiments Using LOGISIM 221 Solution F(X, Y, Z) = (XX0 + XY + XZ + X0 Y + YY + YZ) where XX0 = 0 and YY = Y F(X, Y, Z) = (XY + XZ + X0 Y + Y + YZ) F(X, Y, Z) = Y(X + X0 + 1 + Z) + XZ F(X, Y, Z) = Y + XZ F(X, Y, Z) = XY0 Z + XYZ + Y0 ZF(X, Y, Z) = XZ(Y0 + Y) + Y0 Z F(X, Y, Z) = XZ + Y0 Z (c) F(X, Y, Z) = XY + YX0 Z F(X, Y, Z) = Y(X + X0 Z) where X + X0 Z=X+Z F(X, Y, Z) = Y(X + Z) (d) F(X, Y, Z) = X0 Y + YXZ0 F(X, Y, Z) = Y(X0 + XZ0 ) = Y(X0 + Z0 ) (e) F(X, Y, Z) = XY + (X + Y + Z)0 X + YZ F(X, Y, Z) = XY + (X0 Y0 Z0 )X + YZ F(X, Y, Z) = XY + YZ (f) F(X, Y, Z) = (XY)0 + (X0 +Y+Z0 ) 0 (g) F(X, Y, Z) = X0 + Y0 + XY0 Z F(X, Y, Z) = Y0 (1 + XZ) + X0 = X0 + Y0

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