Trying to understand binary properly

[Gizmo]

Hey guys,

I've been trying to get my head around how the binary system works. Here's an article I read:-

In the decimal system, each digit position represents a value of 10 to the position's power. For example, the number 345 means:

3 three 100s (10 to the 2nd power) <----The part in brackets I don't get.

plus

4 four 10s (10 to the first power) <----Same here.

plus

5 five 1s (10 to the zeroth power) <---- Same again here.

In the binary system, each digit position represents a value of 2. For example, the binary number 1011 equals:

1 one 8 (2 to the 3rd power)

plus

0 zero 4s (2 to the 2nd power)

plus

1 one 2 (2 to the first power)

plus

1 one 1 (2 to the zeroth power)

So a binary 1011 equals a decimal 11.

All of the binary system is what I don't understand. I could just be crappy at maths I admit, but how does "1 one 8 (2 to the 2nd power)" work?

Apologies for sounding like a newbie and being so clueless but I've never really looked at binary so in depth before . Any enlightenment is hugely appreciated.

TIA...

[RJ]

Hi,

honestly I don't get the parts in brackets either. I did a google search for an explanation and maybe this one

http://www.swansontec.com/sbinary.htm

is easier to understand.

RJ

[Gizmo]

Thanks RJ! That's actually a pretty good article. It's kinda like trying to learn a new form of algebra. Thanks again