What Is the Residue Number Representation of Negative Numbers?

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The residue number representation of negative numbers, specifically -1, can be determined using the modulus M. In the case of Z_{42}, the residue representation of -1 is expressed as (-1, -1, -1). This indicates that for a modulus of 42, the negative number is represented consistently across all positions in the residue system.

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flouran
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I was wondering what the residue number representation of -1 was? (Or for negative numbers in general)

Thanks,
flouran
 
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If the modulus is M, then we can take M-1.
 
The residue representation of -1 in Z_{42} is (-1,-1,-1).
 

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