100101

100 & 101

Donald Knuth recently gave a talk in Google titledI think either I have found a mistake in it or I am making myself a stupid in the internet. Latter is of high probability.In his talk, Donald Knuth says (at 14:30) that:When I listened this, I thought, it must be wrong. Consider the following sequence of binary numbers:I make a cut in the middle of the above number, so that the two individual binary numbers are:The sum of these numbers is, which is 9, is. It is a bit difficult for my Indian ears to understand his accent, so there is a high probability that I am misunderstanding something. Also, this issue looks too straightforward to me that one of the most brilliant mathematicians on the planet may not say so. What am I missing ? Any help is appreciated.: In the unlikely event that (pigs flew) Knuth mentioned something wrong about this mathematical problem, I should write to him to send a signed cheque (check) for 0$ (anyway I won't encash it) :-)