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The number $N$ is a multiple of $7$. The base $2$ representation of $N$ is
101010010101000101A10001B001010C100011_2.
Compute $A,$ $B,$ and $C$.

 Jul 17, 2024
 #1
avatar+1897 
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The answer is \(A, B, C = (1, 1, 1)\)

 

We get the monstrosity \(10101001010100010111000110010101100011_2\), which when converted to base 10, we get

\(181803967843_{10}\)

 

This divided by 70 (it would go to scientific notaiton if not) gets us \(229488030591\)

meaning it is divisible by 7. 

 

Thanks! :)

 Jul 17, 2024
edited by NotThatSmart  Jul 17, 2024

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