How does this number system conversion algorithm work?

[0131313131313]

50 | 0
25 | 1
12 | 0
6 | 0
3 | 1
1 | 1
0

how does it work?

(I know how to use the algorithm... my question is about how it can do the conversion)

 

[sjb-2812]

50 | 0
25 | 1
12 | 0
6 | 0
3 | 1
1 | 1
0

how does it work?

(I know how to use the algorithm... my question is about how it can do the conversion)

What are you trying to show? 50 in binary? Russian multiplication (http://en.wikipedia.org/w/index.php?title=Ancient_Egyptian_multiplication&oldid=383433098 ) ?

 

[CRGreathouse]

Looks like Egyptian multiplication.

 

[hamster143]

No, I think he simply means conversion of 50 into binary. 50 = 110010 = 32+16+2.

 

[sjb-2812]

Looks like Egyptian multiplication.

Yes, if you look at the link I posted this is the same thing as what I call Russian multiplication.

 

[CRGreathouse]

Yes, if you look at the link I posted this is the same thing as what I call Russian multiplication.

And this method, in turn, is closely related to the binary representation of the number.