# NumbersMiles Miles once asked if i knew the art of persuading computers to do sums with big numbers. I thought he meant like ; One point eight times ten to the nineteen mulitplied by three point four times ten to the thirty eight, but he had no interest in hack physicist's order of magnitude hacks. He'd hit a thirty two bit limit. Standard algorithms would round and exponetiate his sums dull and featureless to keep results in single memory registers. He sought more, resolution in addition, subtlety in arithmetic. Off the top of my head I had no clue. One or two days passed I asked; how goes the BIG MATHS Miles ? can you keep a google plus one sharp or add a pict of a cake to a stray aiff ? The secret he said is to add like a child with a pencil and pad long hand rules patient machines. So rendered in decimal; two to the thirty one times two or two billion, one hundred and forty seven million, four hundred and eighty three thousand, six hundred and forty seven times two or two times seven is fourteen equals four (carry one) two times four is eight plus one equals nine two times six is twelve equals two (carry one) two times three is six plus one equals seven two times eight is sixteen equals six (carry one) two times four is eight plus one equals nine two times seven is fourteen equals four (carry one) two times four is eight plus one equals nine two times one equals two two times two equals four is four billion, two hundred and ninety four million, nine hundred and sixty seven thousand, two hundred and ninety four here's two to the thirty two to you julian@informal.org.uk |