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If a number N is expressed in binary by using only 'ones,' what can you say about its square (in binary)?
Explore a number pattern which has the same symmetries in different bases.
We are used to writing numbers in base ten, using 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Eg. 75 means 7 tens and five units. This article explains how numbers can be written in any number base.