Digital Electronics - Boolean Algebra and Logic Simplification - Discussion

Discussion Forum : Boolean Algebra and Logic Simplification - General Questions (Q.No. 45)
The commutative law of addition and multiplication indicates that:
we can group variables in an AND or in an OR any way we want
an expression can be expanded by multiplying term by term just the same as in ordinary algebra
the way we OR or AND two variables is unimportant because the result is the same
the factoring of Boolean expressions requires the multiplication of product terms that contain like variables
Answer: Option
No answer description is available. Let's discuss.
2 comments Page 1 of 1.

Sean said:   8 years ago
Isn't 'A' equivalent to 'C'?

Nimuel said:   4 years ago
Answer A is associative law.

Variables are grouped in any way using parentheses. The key here is that the answer implies a possibility of more than two variables.

Say you have A + B + C. You can OR A and B first, then C later.
(A + B) + C
Alternatively, you can pair B and C first before pairing the result with A.
A + ( B + C)

Answer C is possible. Notice that it only talks about two variables. It also states that there is no difference in the output whether you OR variable A to B or you OR variable B to A.

So, we can say associative is about grouping variables. Commutative is about swapping variables.

Post your comments here:

Your comments will be displayed after verification.