You could use already mentioned script engine:
String expression = "(1 || 0 && 1 && 0 ||(0 && 0))";
Object result = new ScriptEngineManager().getEngineByName("JavaScript").eval(expression);
System.out.println(result);
or spring expression language:
String data = "(true OR false AND true AND false OR(false AND false))";
ExpressionParser parser = new SpelExpressionParser();
Expression exp = parser.parseExpression(data);
result = exp.getValue();
System.out.println(result);
Please note, that in both cases there was needed to modify original expression by replacing eighter lofical operators or logical constants.