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# Boolean Algebra Help watch

1. Hi guys (and grills)
I need some help with Boolean Algebra. I have a question like this : (A+B).(A.B)
I need to simplify it. What I don't understand is the way the ANDs and ORs go when expanding brackets like these. Any help is appreciated. Thanks in advance
2. Syntax varies a lot with boolean Algebra. Can you explain what you mean by + and.?

Do you mean
(A and B) or(A or B)
In that case A is true implies "(A or B)" is true, implies "(A and B) or(A or B)" is true. Same goes for B. So this can be simplified to
(A or B).
3. (A+B)AB
ABA+ABB
AB+AB
AB

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4. (Original post by Yh60)
Syntax varies a lot with boolean Algebra. Can you explain what you mean by + and.?

Do you mean
(A and B) or(A or B)
In that case A is true implies "(A or B)" is true, implies "(A and B) or(A or B)" is true. Same goes for B. So this can be simplified to
(A or B).
Full stop stands for AND
Plus stands for OR.
So this goes as follows : (A OR B)AND(A AND B).
5. using Venn Diagrams i arrive at

A and B
6. (Original post by the bear)
using Venn Diagrams i arrive at

A and B
Indeed.
JickDee showed you how to solve it algebraically.
However you can solve it just by thinking about it.
(A or B) and (A and B)
Can only be true if (A and B) is also true.
However if (A and B) is true (A or B) is definitely true. So
(A and B) implies "(A or B) and (A and B)"
And
"(A or B) and (A and B)" implies (A and B).

So they are both identical statements.

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Updated: January 26, 2017
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