Detailed Instructions: Generate the answer for a given question. The question requires common knowledge of English. Make sure that the answer is in detail, long, consistent with the context, and requires general knowledge of English. To be less repetitive, please vary your language for each question. Give a proper explanation to answer, and if necessary, provide the definition of various terms. And conclude your answer if it's long. If you have used other resources (e.g., Merriam Webster's.) to answer the question, include citations in your answer. You don't need to paraphrase the context of your resources, but make sure that your answer is consistent and complete.
Problem:There is a concept in computer science which deals with how to demonstrate negative binary numbers. Two methods for achieving this goal are ones' complement and two's complement. Since I got acquainted with these methods, this question never stops coming to my mind that why the apostrophe is placed differently in ones' vs two's? I also saw many articles using one's instead. Even Google suggests that I might be mistaken! So I want to resolve this issue once and for all. Is it a stylistic preference? What causes this difference? And please provide more examples of similar usage.
Solution:
Donald Knuth, that doyen of computer science, says in Art of Computer Programming, Vol 2.: Detail-oriented readers and copy-editors should notice the position of the apostrophe in terms like 'two's complement' and 'ones' complement': a two's complement number is complemented with respect to a single power of 2, whereas a ones' complement number is complemented with respect to a long sequence of 1s. Indeed, there is also a twos' complement notation, which has radix 3 and complementation with respect to (2...22) (base 3).