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In: Advanced Math

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

We can write 13 as a sum of distinct powers of 2: 13 = 8+4+1 = 2 3 +2 2 +2 0 .

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

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

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Expert Solution

I hope it helps. Please feel free to revert back with queries. Thanks.

Colby Messinger answered 6 months ago
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