question1:
from =$ab+ac+a'b'c$ , can I change it to $ab+b'c$ ?
=$ab+ac+a'b'c$
=$c.!(a+a'b')+ab$ -> applied demorgan, am I right?
=$c(a'.(a+b))+ab$
$c(a'a+a'b)+ab$
$a'bc+ab$
$b(a'c+a)$ ->should I apply demorgan again? , but after I apply it, I didn't get
$ab+b'c$
is this true??
question 2:
Boolean algebra :
=$AB+A'B+AB'$ =A(B+B')+B(A+A') -> why $A'B$ changed to B(A+A') , what law is this?
$\endgroup$1 Answer
$\begingroup$Hints:
Question $1$: Note we can write $ac +a’b’c =c(a+a’b’)$. Now use absorption law.
Question $2$: Note that $AB+A’B+AB’=AB+AB+A’B+AB’=A(B+B’)+B(A+A’)$.
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