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Q.

Give the relationship that represents the dual of the Boolean Property Question Image ?


(Note: Question Image AND, Question Image OR, = NOT)


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is B.

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Detailed Solution

Concept- We begin answering this question by first going through the meaning of a Boolean expression and its dual. Then, by changing "+" to "*" and''1 `` to''0," we are able to determine the dual of the provided phrase. The dual of the supplied Boolean identity is then discovered by replacing the old symbols in the given Boolean identity with the new symbols.
Let's first discuss the idea of a Boolean expression.
A logical statement that can only be TRUE or FALSE, or accept the values 1 or 0, is referred to as a Boolean expression.
Let's now discuss the idea of a dual Boolean expression.
A Boolean expression's counterpart is the expression that is produced by swapping its addition and multiplication operations as well as its 0s and 1s.
Therefore, any Boolean expression "+" is transformed to "*" and "*" is changed to "+" in the expression.
In the expression, "0" becomes "1," while "1" becomes "0."
We are given the Boolean identity A+1=1.
As a result, the above statement contains the symbols "+" and "1."
The expression's '+' and '1' should be changed from '+' to '*' and '1' to '1' respectively since we need to identify the dual of the supplied Boolean identity.
Thus, by altering them, we obtain A*0=0.
Hence, the answer is  "Option 2."
 
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