Binary Logic

How many options does a binary choice offer?

Binary numbers are _____.

Which of the following is true$?$

In the binary system, what is the largest 8-bit number?

The number system with base 16 is called?

When the value 37H is divided by 17H, the remainder is

A sentence is followed by two inferences numbered I and II. You have to consider the given statement to be true and mark the answers accordingly. 

Statement: According to the new national education policy, pedagogy can no longer be disconnected from the child's interests and will now have to be activity-based and experiential. 

Inferences:
I. Till now, learning was not activity-based. 

II. The new national education policy takes the child's likes and dislikes in account. 

A sentence is followed by two inferences, numbered $\mathrm{I}$ and $\mathrm{II}$. You have to consider the given statement to be true and mark the answer accordingly:

Statement: The National Green Tribunal has been set up in India for dealing with cases pertaining to environmental protection.

Inferences:

$\mathrm{I}$. Many countries in the world have a similar body with different names.
$\mathrm{II}$. There has been an exponential increase in environmental cases in India.

A sentence is followed by two inferences numbered I and II. You have to consider the given statement to be true and mark the answers accordingly. 

Statement: While presenting the Union budget, the Finance Minister announced that Operation Green will be expanded to 22 perishable commodities besides the existing ones. 

Inferences:
I. Operation Green is applicable only to agricultural commodities. 

II. There are already some items present under this operation. 

A sentence is followed by two inferences numbered I and II. You have to consider the given statement to be true and mark the answers accordingly. 

Statement: Unlike many vaccines known to us, the Covid-19 vaccines have to be given twice in quick succession. 

Inferences:
I. Only one dose is insufficient to fight against the virus.  

II. Many other vaccines have to be given twice to become effective. 

A sentence is followed by two inferences numbered I and II. You have to consider the given statement to be true and mark the answers accordingly. 

Statement: Melting of glaciers is one of the most dramatic impacts of rising global temperatures, and much of this is playing out in the Himalayas, where the winter period has been noticeably reduced. 

Inferences:
I. Smaller winter leads to lesser snowfall. 

II. Glaciers around the world are experiencing this phenomenon. 

Read the following information carefully and answer the question given below:

Statement :
I. Either he is happy or he is poor.
II. He is happy.
Inference:
He is poor. 

Consider the operations:

$f(X,Y,Z)=X\text{'}YZ+XY\text{'}+Y\text{'}Z\text{'}$ and $g(X,Y,Z)=X\text{'}YZ+X\text{'}YZ\text{'}+XY$

Which one of the following is correct?