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# Simplifying boolean algebra watch

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1. Hi I am struggling with a question on simplifying boolean algebra, here is the equation:
A.B.(A+B)

I have got it to this stage: (I'm not sure if this is correct or not)
(A.B).(A+B)

Any help on how to simplify this would be appreciated
Thanks

P.S Also if someone could check this I would appreciate it:
Initial equation: (A+B).(A+NOTB)
2. (Original post by MatthewP15)
Hi I am struggling with a question on simplifying boolean algebra, here is the equation:
A.B.(A+B)

I have got it to this stage: (I'm not sure if this is correct or not)
(A.B).(A+B)

Any help on how to simplify this would be appreciated
Thanks

P.S Also if someone could check this I would appreciate it:
Initial equation: (A+B).(A+NOTB)
I agree both with your first step above and your result in the P.S.
I'm actually more familiar with set notation for Boolean Algebra, so I made the conversion to find your answer, even so you have:

Now distributing over and then considering the parts separately before combining you should get your result.

Just as an fyi, you can use Wolfram to check your results.
3. (Original post by joostan)
I agree both with your first step above and your result in the P.S.
I'm actually more familiar with set notation for Boolean Algebra, so I made the conversion to find your answer, even so you have:

Now distributing over and then considering the parts separately before combining you should get your result.

Just as an fyi, you can use Wolfram to check your results.
Thanks I just wanted to check the other problem just to be sure I am using the right methods,I will give it a try when I get back.
4. Your simplification is wrong, you must have made a mistake somewhere.

Distributing the original equation you should have got,

(A + B)(A + ~B) = A(A + ~B) + B(A + ~B) = AA + A.~B + AB + B.~B

you then have to consider the separate terms and simplify.
5. (Original post by MatthewP15)
Hi I am struggling with a question on simplifying boolean algebra, here is the equation:
A.B.(A+B)

I have got it to this stage: (I'm not sure if this is correct or not)
(A.B).(A+B)

Any help on how to simplify this would be appreciated
Thanks

P.S Also if someone could check this I would appreciate it:
Initial equation: (A+B).(A+NOTB)
Please forgive me, but is the answer A.B (assuming . means AND). Alas I have only been programming for 15 years but have never come across this notation. If . is AND and + is OR then the answer is A AND B since the resultant will only be 1 if A and B are 1.

A | 0 1 0 1 |
B | 0 0 1 1 |
======================
Res| 0 0 0 1 | = A.B

Alas, I have no idea how you would prove that mathematically. I hated this theoretic nonsense at uni. Absolutely no use in the real world sadly.

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