Question

simplify the following Boolean expression also mention the law used as each steps during simplification xy+xz+xyz

Answer 1

Xy+XZ+XYZ

use demorgans law(AB=A+B)

X+Y+XZ+XYZ

Take x as common

X(1+Z)+Y+XYZ

use Boolean OR law

1+Z=1

X+Y+XYZ

X+Y+X+Y+Z

again use Boolean and demorgans law

X+X=1

X+Y+Z or XYZ

XY+YZ+XYZ=X+Y+Z or XYZ