Question

Reduce the following expression using algebraic method (using basic postulate of bodean algebra)
please answer this question of 2nd PUC computer science
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Answer 1

Answer:

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

Explanation:

XY+XZ+XYZ

• use demorgan's 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 demorgan's law X+X=1

        X+Y+Z or XYZ

        XY+YZ+XYZ=X+Y+Z or XYZ