Yes, brackets are not operators. However, they are required to disambiguate formulas since without brackets, we do not know whether a&b|c means (a&b)|c or a&(b|c). If you do not like brackets, you could use postfix or prefix notation which has been used in elder pocket calculators. Then, (a&b)|c becomes | & a b c while a&(b|c) becomes & a | b c. But usually, people do not like these notations.