In Digital electronics (Boolean algebra), the OR operation is performed by which of the given properties?a.Distributive propertiesb.Commutative propertiesc.Associative propertiesd.All of these
Question
In Digital electronics (Boolean algebra), the OR operation is performed by which of the given properties?a.Distributive propertiesb.Commutative propertiesc.Associative propertiesd.All of these
Solution
The OR operation in Boolean algebra is performed by all of the given properties - Distributive, Commutative, and Associative. So, the answer is d. All of these.
Here's why:
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Distributive Property: The OR operation is distributive over AND and vice versa. This means a + (b . c) = (a + b) . (a + c) and a . (b + c) = (a . b) + (a . c).
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Commutative Property: The order in which the variables are ORed does not matter. This means a + b = b + a.
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Associative Property: The way in which the variables are grouped does not matter. This means (a + b) + c = a + (b + c).
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