(a) How are the numbers 2, 4, and 16 related?
(b) Because of the way 2, 4, and 16 are related, it is possible to change the expansion of a number relative to one of these numbers to the expansion relative to another directly without using the number’s base 10 expansion. Examine the results of Exercise 43 (and other examples, if needed) and describe how to change from
(i) a base 2 expansion to a base 4 expansion.
(ii) a base 16 expansion to a base 2 expansion.
(iii) a base 4 expansion to a base 16 expansion.
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