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so my question is prove the following relation and solve the boolean expression. i'm stuck. because usually i solve the question is not like this.

i) AB+ABC+ABC=AB ii) Z(Y+Z)(X+Y+Z)=Z

exia
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1 Answers1

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Hint:

  1. $LHS=AB+ABC+ABC=AB+ABC=AB(1+C)=AB.1=AB=RHS$

  2. $LHS=Z(Y+Z)(X+Y+Z)=Z(Y+Z+0)(Y+Z+X)=Z(Y+Z+0.X)=Z(Y+Z)=(Z+0)(Z+Y)=Z+0.Y=Z=RHS$

This assumes that you are familiar with the various properties and identities of Boolean Algebra.

GoodDeeds
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