BIT_XOR

BIT_XOR(expr) [over_clause]

CREATE TABLE vals (x INT);

INSERT INTO vals VALUES(111),(110),(100);

SELECT BIT_AND(x), BIT_OR(x), BIT_XOR(x) FROM vals;
+------------+-----------+------------+
| BIT_AND(x) | BIT_OR(x) | BIT_XOR(x) |
+------------+-----------+------------+
|        100 |       111 |        101 |
+------------+-----------+------------+

CREATE TABLE vals2 (category VARCHAR(1), x INT);

INSERT INTO vals2 VALUES
  ('a',111),('a',110),('a',100),
  ('b','000'),('b',001),('b',011);

SELECT category, BIT_AND(x), BIT_OR(x), BIT_XOR(x) 
  FROM vals GROUP BY category;
+----------+------------+-----------+------------+
| category | BIT_AND(x) | BIT_OR(x) | BIT_XOR(x) |
+----------+------------+-----------+------------+
| a        |        100 |       111 |        101 |
| b        |          0 |        11 |         10 |
+----------+------------+-----------+------------+

SELECT BIT_XOR(NULL);
+---------------+
| BIT_XOR(NULL) |
+---------------+
|             0 |
+---------------+