Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following boolean algebra statem...
Start Learning for Free
Which of the following boolean algebra statements represent distributive law?
- a)(A + B) + C = A + ( B + C)
- b)A . (B + C) = (A . B) + (A . C)
- c)A . (B . C) = (A . B) . C
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following boolean algebra statements represent distributi...
Distributive Law in Boolean Algebra
Definition: Distributive law in boolean algebra is a rule that relates the three basic logical operations AND, OR, and NOT. It states that for any boolean expressions A, B, and C:
- A AND (B OR C) = (A AND B) OR (A AND C)
- A OR (B AND C) = (A OR B) AND (A OR C)
Explanation
The distributive law is an important concept in boolean algebra that is used to simplify boolean expressions. It allows us to distribute the AND and OR operations over each other, which can help in reducing the complexity of the expression. Let's take a look at the given options:
a) (A AND B) OR C = A OR (B OR C)
This is not an example of distributive law. It is actually an example of associative law, which states that the order of grouping of terms in an expression does not affect its value.
b) A AND (B OR C) = (A AND B) OR (A AND C)
This is an example of distributive law. It shows that we can distribute the AND operation over the OR operation.
c) A AND (B AND C) = (A AND B) AND C
This is an example of associative law, which states that the order of grouping of terms in an expression does not affect its value.
d) None of these
This is not a valid option as one of the given options is an example of distributive law.
Conclusion
In conclusion, option B is the correct answer as it represents the distributive law in boolean algebra. The distributive law is an important concept in boolean algebra that helps in simplifying boolean expressions.
Definition: Distributive law in boolean algebra is a rule that relates the three basic logical operations AND, OR, and NOT. It states that for any boolean expressions A, B, and C:
- A AND (B OR C) = (A AND B) OR (A AND C)
- A OR (B AND C) = (A OR B) AND (A OR C)
Explanation
The distributive law is an important concept in boolean algebra that is used to simplify boolean expressions. It allows us to distribute the AND and OR operations over each other, which can help in reducing the complexity of the expression. Let's take a look at the given options:
a) (A AND B) OR C = A OR (B OR C)
This is not an example of distributive law. It is actually an example of associative law, which states that the order of grouping of terms in an expression does not affect its value.
b) A AND (B OR C) = (A AND B) OR (A AND C)
This is an example of distributive law. It shows that we can distribute the AND operation over the OR operation.
c) A AND (B AND C) = (A AND B) AND C
This is an example of associative law, which states that the order of grouping of terms in an expression does not affect its value.
d) None of these
This is not a valid option as one of the given options is an example of distributive law.
Conclusion
In conclusion, option B is the correct answer as it represents the distributive law in boolean algebra. The distributive law is an important concept in boolean algebra that helps in simplifying boolean expressions.
Free Test
FREE
| Start Free Test |
Community Answer
Which of the following boolean algebra statements represent distributi...
Distribution law:- A(B+C) = AB + AC (same as we use in basic maths)
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
Top Courses for Computer Science Engineering (CSE)
Question Description
Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following boolean algebra statements represent distributive law?a)(A + B) + C = A + ( B + C)b)A . (B+ C) = (A . B) + (A . C)c)A . (B . C) = (A . B) . Cd)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup