**Problem of the Week-4: Numbers in Other Bases **

Consider numbers written in base b, where 1< b<10 (and b is an integer).

Find an easy-to-check criterion to test whether the number expressed in base b is even or odd. Justify your answer. (In case of different criteria that work, one that is easier to check will be preferred)

Posted: 10-10-07

Submit your answers (by e-mail or hard copy) before 4 pm on 10-19-07 to Noah Aydin.

Mathematics Dept.