set enable_seqscan=off;
CREATE TABLE test_bit (
	i bit(3)
);
INSERT INTO test_bit VALUES ('001'),('010'),('011'),('100'),('101'),('110');
CREATE INDEX idx_bit ON test_bit USING gin (i);
SELECT * FROM test_bit WHERE i<'100'::bit(3) ORDER BY i;
  i  
-----
 001
 010
 011
(3 rows)

SELECT * FROM test_bit WHERE i<='100'::bit(3) ORDER BY i;
  i  
-----
 001
 010
 011
 100
(4 rows)

SELECT * FROM test_bit WHERE i='100'::bit(3) ORDER BY i;
  i  
-----
 100
(1 row)

SELECT * FROM test_bit WHERE i>='100'::bit(3) ORDER BY i;
  i  
-----
 100
 101
 110
(3 rows)

SELECT * FROM test_bit WHERE i>'100'::bit(3) ORDER BY i;
  i  
-----
 101
 110
(2 rows)

