Let MXI be an inverting 2 : 1 multiplexer whose output is a', when s = 0 and output is b' when s = 1. That is MXI(s, a, b) = s' a' + sb'. What function is the following circuit equivalent to?  

Let MXI be an inverting 2 : 1 multiplexer whose output is a', when s = 0 and output is b' when s = 1. That is MXI(s, a, b) = s' a' + sb'. What function is the following circuit equivalent to?   Correct Answer Inclusive OR

The correct answer is option 4.

Concept:

A multiplexer (or mux; often written multiplexor), also known as a data selector, is a device that selects one of numerous analog or digital input signals and sends it to a single output line. A separate set of digital inputs known as select lines controls the selection.

[ alt="F1 harshita 24-1-22 Savita D1" src="//storage.googleapis.com/tb-img/production/22/01/F1_harshita_24-1-22_Savita_D1.png" style="width: 362px; height: 242px;">

The circuit is equivalent to Y= as'+bs. It is Inclusive OR means A logical connective joining two or more predicates that yield the logical value "true" when at least one of the predicates is true.

[ alt="F1 harshita 24-1-22 Savita D2" src="//storage.googleapis.com/tb-img/production/22/01/F1_harshita_24-1-22_Savita_D2.png" style="width: 427px; height: 225px;">

 

Hence the correct answer is Inclusive OR.

Related Questions

Assertion (A) : A multiplexer (MUX) is a device which selects one of the many inputs to a single output. Reason (R): A digital multiplexer is a sequential circuit that selects binary information from one of the many input line sand directs it to a single output line
Statement (I): The multiplexer is essentially an electronic switching device which enables each of the inputs to be sampled in turn. Statement (II): A multiplexer is a circuit that is able to have inputs of data from a number of sources and then, by selecting an input channel, gives an output from just one of them.
Read the passage carefully and select the best answer to each question out of the given four alternatives.
Public opinion may be passive and false or active and real. It is claimed in theory that all governments are ultimately based on the opinion or sanction of the governed. But we find that in practice the people's rights are often trodden down and tyranny and oppression are allowed to continue. The government does it not because the people want it to do so but because they are too idle, too uneducated and too disunited or timid to oppose the govern ment. Such public opinion is passive and false and not an active verdict. But when we find people alert, intelligent and determined to let the government know their will, when they want to exercise actively their voice in the management of their country, we have an instance of true or active public opinion. True public opinion is formed by and expressed through the press, the platform, political parties and educational institutions. These have sacred duties to perform, duties on which depends the ultimate good of the entire community. The press today wields a tremendous influence, So it should support the causes and move ments and condemn the wrong one's and thus teach people to form correct opinion. A free and fair press ventilates the grievances of the public. Thus a healthy relationship develops between the people and the government through out an unbiased press. Political parties also help to create and regulate opinions. No less important part is played by the educational Institutions which train the minds of the young people who will be the citizens of tomorrow. It has been said that modern Germany and China have been made by their universities. It is necessary that the young and the growing minds should imbibe the spirit of fellow-feeling, the spirit of tolerance, the habit of compromise, and show due regard for the feelings and opinion of others without which a democratic society cannot function, let alone succeed. When there is true awakening of the people, we shall have the real and conscious public opinion. And justice will reign on earth and truly will the voice of the people be the voice of God.
What is important for the democratic society to function properly?