SQL Aggregate logical operations

Question

Is there a way in T-SQL to aggregate with logical conditions on fields which do not represent single bits?

For example, given this data:

CREATE TABLE #Example       (category int, flags int)
INSERT INTO #Example VALUES (1,            1) -- Binary 0001
INSERT INTO #Example VALUES (1,            2) -- Binary 0010

I'd like a query that does something similar to:

SELECT AND(flags) FROM #Example
GROUP BY Category
-- Expect the result to be 0 because 0001 AND 0010 = 0000

SELECT OR(flags) FROM #Example
GROUP BY Category
-- Expect the result to be 3 because 0010 OR 0001 = 0011

On a single bit field I know you can convert to int and then use max and min, but this would only work on single bit values so doesn't solve the problem.