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 \(A-B\)?