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binary numbers with Jam Cantonamp;#39;s exploding dots weamp;#39;re going to show you how to make a base few machine with one simple rule two dots on the right one dot on the left okay so hereamp;#39;s how we use this technique I have five stones I put them in the farthest column to the right letamp;#39;s put up five dots in the corner so we can remember how many dots we started with so all I do the rule is that I just take two stones move one over and take one out now I can do that again no there was only one here so we canamp;#39;t do that again but thereamp;#39;s two hereamp;#39;s and we can take the rule again this is one over take one oh and now we have our solution zero and thatamp;#39;s the binary encoding for the number-5 now that we know how to write five in binary we can work backwards Iamp;#39;m going to put some dots above each box the box on the right will have one dot the next box will have two dots and then four and the last eight notice the pattern in e