Digital Electronics - Boolean Algebra and Logic Simplification - Discussion
Discussion Forum : Boolean Algebra and Logic Simplification - General Questions (Q.No. 45)
45.
The commutative law of addition and multiplication indicates that:
Discussion:
2 comments Page 1 of 1.
Nimuel said:
5 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.
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.
Sean said:
9 years ago
Isn't 'A' equivalent to 'C'?
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