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It seems I'm not the only one to think of this. I guess I shouldn't be surprised with all the other creative geeks out there. I found: A Binary Birthday Cake and Binary birthday candles.
I have done binary birthday candles two different ways. The way that seems to be done most often is to light candles for the one bits, and don't light the candles for zero bits. I've done this, and the two sites I found did it this way too.
I've also done it by color coding. One color is on, the other color is off. Of course from the left, the first candle color is the one bit.
So in the case above, the order of the candle-bits are 32-16-8-4-2-1 with the 32, 8 and 1 on. So 41 [decimal] in only 6 candles.
Don't forget the parity candle-bit for good luck!
Binary conversion
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Jessa
http://everykiss.net