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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
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The answer is A,B,C=(1,1,1)

 

We get the monstrosity 101010010101000101110001100101011000112, which when converted to base 10, we get

18180396784310

 

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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