Question 5602 – NIELIT Technical Assistant_2016_march
November 7, 2023UGC NET CS 2004 Dec-Paper-2
November 7, 2023UGC NET CS 2004 Dec-Paper-2
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Question 1
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AVA=A is called :
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Identity law
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De Morgan’ s law
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Idempotent law
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Complement law
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Question 1 Explanation:
→ De Morgan’s Laws:
(i). (A V B)’ = A’ ∧ B’
(ii). (A ∧ B)’ = A’ V B’
→ Identity Law :
(i). 1 AND A = A
(ii). 0 OR A = A
→ Complement law:
(i). A AND A’=1
(ii). A OR A’=0
→ Idempotent law:
The idempotence in the context of elements of algebras that remain invariant when raised to a positive integer power, and literally means “(the quality of having) the same power”, from idem + potence (same + power).
(i). A V A=A
(ii). A ∧ A=A
According to boolean algebra
(i). (A V B)’ = A’ ∧ B’
(ii). (A ∧ B)’ = A’ V B’
→ Identity Law :
(i). 1 AND A = A
(ii). 0 OR A = A
→ Complement law:
(i). A AND A’=1
(ii). A OR A’=0
→ Idempotent law:
The idempotence in the context of elements of algebras that remain invariant when raised to a positive integer power, and literally means “(the quality of having) the same power”, from idem + potence (same + power).
(i). A V A=A
(ii). A ∧ A=A
According to boolean algebra
Correct Answer: C
Question 1 Explanation:
→ De Morgan’s Laws:
(i). (A V B)’ = A’ ∧ B’
(ii). (A ∧ B)’ = A’ V B’
→ Identity Law :
(i). 1 AND A = A
(ii). 0 OR A = A
→ Complement law:
(i). A AND A’=1
(ii). A OR A’=0
→ Idempotent law:
The idempotence in the context of elements of algebras that remain invariant when raised to a positive integer power, and literally means “(the quality of having) the same power”, from idem + potence (same + power).
(i). A V A=A
(ii). A ∧ A=A
According to boolean algebra
(i). (A V B)’ = A’ ∧ B’
(ii). (A ∧ B)’ = A’ V B’
→ Identity Law :
(i). 1 AND A = A
(ii). 0 OR A = A
→ Complement law:
(i). A AND A’=1
(ii). A OR A’=0
→ Idempotent law:
The idempotence in the context of elements of algebras that remain invariant when raised to a positive integer power, and literally means “(the quality of having) the same power”, from idem + potence (same + power).
(i). A V A=A
(ii). A ∧ A=A
According to boolean algebra