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  3. we can write 13 as a sum of distinct powers of 2:

We can write 13 as a sum of distinct powers of 2: 13 = 8+4+1...

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Advance Math

We can write 13 as a sum of distinct powers of 2: 13 = 8+4+1 = 23 +2 2 +2 0 .

• Using strong induction, show every integer can be written asthe sum of distinct powers of two.

• Show that every integer has a unique representation as the sumof distinct powers of two. It follows that every integer has aunique binary representation. For instance, 13 is uniquelyrepresented by 1101 in binary

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