The number 3723 (in base 10) is written as 123 in another base. What is that base?
There are two forms of counting on Vuvv - Zios count in base 3 and Zepts count in base 7. Can you work out in which direction the Zios and Zepts were looking, based on the information you're given?
You have worked out a secret code with a friend. Every letter in the alphabet can be represented by a binary value.
How can Agent X transmit data on a faulty line and be sure that her message will get through?
Explore the factors of the numbers which are written as 10101 in different number bases. Prove that the numbers 10201, 11011 and 10101 are composite in any base.
If a number N is expressed in binary by using only 'ones,' what can you say about its square (in binary)?
