Commutative law states

Commutative law states Correct Answer A.B = B.A

All Boolean algebra laws are shown below:

Name

AND Form

OR Form

Identity law

1.A = A

0 + A = A

Null Law

0.A = 0

1 + A = 1

Idempotent 

Law

A.A = A

A + A = A

Inverse 

Law

AA’ = 0

A + A’ = 1

Commutative Law

AB = BA

A + B = B + A

Associative 

Law

(AB) C

(A + B) + C = A + (B + C)

Distributive 

Law

A + BC = (A + B)(A + C)

A(B + C) = AB + AC

Absorption 

Law

A(A + B) = A

A + AB = A

De Morgan’s Law

(AB)’ = A’ + B’

(A + B)’ = A’B’

Related Questions

In the question below, are given a statement followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the suggested courses of action logically follow (s) for pursuing. Statement: With one year to go for 2019 parliamentary elections, Prime Minister Narendra Modi has stepped in to ensure results can be seen on the ground. The Centre has asked states to focus on impactful and public-private-partnership based smart city projects, which would show results over the next one year and have a review mechanism in place. Ministry of housing and urban affairs, the nodal ministry for Smart Cities Mission has identified 261 impactful ventures worth Rs. 31,000 crore and PPP projects worth Rs. 32,000 crore for the states to work on. Courses of Action: I. The move follows directives from the Prime Minister. During a review of Smart Cities mission last week, PM Modi had emphasized on early implementation of projects and suggested that the chief secretaries of all states should review the progress of the implementation. II. These identified projects account for an investment of Rs. 31,112 crore. The states have also been asked to work on 370 PPP projects that involve an investment of Rs. 32,410 crore The impactful projects identified range from building 40 outdoor fitness centres in New Delhi Municipal Council area at a cost of Rs. 1.31 crore to redevelopment of 340 acre area in Bhopal at a cost of Rs. 3,000 crore.  III. Secretary (housing and urban affairs) D. S. Mishra has written to chief secretaries of states and asked them to focus on the belated implementation of smart city projects that have a visible and transformative impact in the lives of citizens in identified smart cities.