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For each positive integer \(n\), the set of integers  \(\{0,1,\ldots,n-1\}\)is known as the\(\textit{residue system modulo n}\)  . Within the residue system modulo\(2^4\) , let  \(A\)be the sum of all invertible integers modulo \(2^4\) and let \(B\) be the sum all of non-invertible integers modulo . What is \(A-B\)?

 Sep 1, 2016
 #1
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Invertible, meaning it has an multiplicative inverse.

 Sep 1, 2016
 #2
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nv, i got it, the answer is 8.

 Sep 1, 2016

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