Question: Question 1 .Use strong induction to show that every positive integern can be written as a sum of distinct powers of two, that is, as

Question 1.Use strong induction to show that every positive integern

can be written as a sum of distinct powers of two, that is, as a sum of a subset of the integers20=1,21=2,22=4,

and so on.

(For example,5=20+22

, and2166=21+22+24+25+26+211.

)

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