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Boolean Algebra - Computer Engineering Question?
Prove A + (B*C) = (A+B)*(A+C) by using the Boolean Algebra.
L.S = A + (B*C) = work here
R.S = (A+B)*(A+C) = work here
Your Help is Much Appreciated!
@sumAsian
Thanks for your effort but this is not simple Math. This is boolean algebra. Therefore, it does prove to be correct!
I found the answer:
(A+B)*(A+C)
= AA + AC + AB + BC
*Use A = AA Identity
= A + AC + AB + BC
*Use A + AB = A Identity (twice)
= A + AB + BC
= A + BC
= A + (B*C)
And there you go!
1 Answer
- 10 years agoFavorite Answer
A + (B*C) = A + BC
(A+B) * (A+C) = AA + AC + BA + BC
therefore it doesn't equal each other...
