Mathematical Logic And Boolean Algebra Question 104

Question: Let B={p, q, r, …..} and let two binary operations be denoted by ?Ú’ and ?Γ™? or ?+? or ?.?, then

Options:

A) $ a\wedge (a\vee b)=b $

B) $ a\wedge (a\vee b)=a $

C) $ a\wedge (a\vee b)=0 $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ a\wedge (a\vee b)=a\wedge a\vee a\wedge b $ . $ =a\wedge 1\vee a\wedge b=a\wedge (1\vee b)=a\wedge 1=a $ .



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