Aggregate bitwise-OR in a subquery

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Given the following table:

CREATE TABLE BitValues ( n int )

Is it possible to compute the bitwise-OR of n for all rows within a subquery? For example, if BitValues contains these 4 rows:

+---+
| n |
+---+
| 1 |
| 2 |
| 4 |
| 3 |
+---+

I would expect the subquery to return 7. Is there a way to do this inline, without creating a UDF?

10 Answers

A simple solution which is a mix of @AlexKuznetsov's and @Andomar's solutions.
The bit mask is generated by a recursive Common Table Expression, but in a simpler way than in @Andomar's solution.
The bits are then summed just like in @AlexKuznetsov's solution.
In this example I assume a 16 bits mask is required, hence the 65536 limit. You can indicate a N-bits mask by changing 65536 to 2^N.

WITH Bits AS
(
    SELECT 1 BitMask
    UNION ALL
    SELECT 2 * BitMask FROM Bits WHERE BitMask < 65536 -- recursion
)
SELECT SUM(DISTINCT BitMask)
FROM
    (SELECT 1 n
    UNION ALL
    SELECT 2 n
    UNION ALL
    SELECT 4 n
    UNION ALL
    SELECT 3 n) t
    INNER JOIN Bits ON t.n & Bits.BitMask > 0
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