javascript - How does the Node console display floating point numbers

I am aware of the rounding issues that programming
languages have trying to represent a base 2 number in base 10. But there have been cases
that baffle me when I was experimenting with the NodeJs console. I know for a fact that
base 2 numbers cannot exactly represent 0.1 in base 10. But
when I type 0.1 in the console, it returns back
0.1. At first I thought that it just returns a representation
of the number back to the console. But when experimenting further, 0.1 +
0.1 returns 0.2. So here are my
questions:

1. How does the
   console know to round it exactly to
   0.2?


2. Why is it that I only
   experience the rounding errors when typing something like 0.2 +
0.1 as it prints out
   0.3000000000004?



3. What
   does Node store when we say something like
   x=0.1?

UPDATE:
I think I wasn't clear with my question so I want to give a better example.
0.1 in base 10 is
0.000110011001100110011...... . This will get cut off at some
point and lets just say that only 0.000110011001100110011 was
stored. this is actually 0.099999904632568359375 in base 10.
Why doesnt the console print out 0.099999904632568359375 when
we type in 0.1. How is it able to get back that number past the
rounding errors? Hope the source of my confusion is more
understood.