May consider a group g=({0,1},+)g=({0,1},+)where ++ will work as the xor operator like we work in boolean algebra. note here, that β00β and β11β are not the usual 0 and 1 that we work with everyday. the elements are called β00β and β11β and may not mean zero (nothing) and one (single). β00β is the identity for the given binary operator +, meaning that any element operated with β00β gets us that element itself. for a set ss in gβ²gβ² having more elements than just {0,1}{0,1} the values for a+bβsa+bβs, such that aβs,bβsaβs,bβs, have to be first defined, only then can you determine the value of 1+11+1. the answer could possibly have been 22 if oanswer is25,000