Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site watmath.UUCP Path: utzoo!linus!decvax!harpo!ulysses!burl!clyde!watmath!csc From: csc@watmath.UUCP (Computer Sci Club) Newsgroups: net.puzzle Subject: Another sequence (solution) Message-ID: <7007@watmath.UUCP> Date: Fri, 24-Feb-84 14:04:37 EST Article-I.D.: watmath.7007 Posted: Fri Feb 24 14:04:37 1984 Date-Received: Sat, 25-Feb-84 04:28:27 EST Organization: U of Waterloo, Ontario Lines: 13 1, 110, 111, 100, 11010, 11011, 11000, 11001, 11110 ... The sequence is the counting numbers written to base (-2). If you enjoy recreational mathematics you might find negative bases fun to play with. For instance prove that all integers (positive and negative) can be repesented base (-2). Generalize to other negative bases. Study the bijection from the non negative integers to the integers given by mapping the base two representation to the base (-2) representation. Find addition, subtraction, multiplication, division, negation rules in base (-2). Hours of fun for the whole family! William Hughes