Mathematical Logic And Boolean Algebra Question 104
Question: Let B={p, q, r, …..} and let two binary operations be denoted by ?Γ’ 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 $ .