You can use a bit-wise AND &
to check for each position.
Here's an example going across rows:
SELECT SUM(CASE WHEN bit_col & 64 > 0 THEN 1 ELSE 0 END) "1000000"
, SUM(CASE WHEN bit_col & 32 > 0 THEN 1 ELSE 0 END) "0100000"
, SUM(CASE WHEN bit_col & 16 > 0 THEN 1 ELSE 0 END) "0010000"
, SUM(CASE WHEN bit_col & 8 > 0 THEN 1 ELSE 0 END) "0001000"
, SUM(CASE WHEN bit_col & 4 > 0 THEN 1 ELSE 0 END) "0000100"
, SUM(CASE WHEN bit_col & 2 > 0 THEN 1 ELSE 0 END) "0000010"
, SUM(CASE WHEN bit_col & 1 > 0 THEN 1 ELSE 0 END) "0000001"
FROM my_table
;
1000000 | 0100000 | 0010000 | 0001000 | 0000100 | 0000010 | 0000001
---------+---------+---------+---------+---------+---------+---------
11 | 8 | 11 | 13 | 11 | 9 | 8
To have the results in a single column you need to use union:
SELECT 1 AS "col", SUM(CASE WHEN bit_col & 64 > 0 THEN 1 ELSE 0 END) AS bit_count FROM my_table
UNION ALL SELECT 2 AS "col", SUM(CASE WHEN bit_col & 32 > 0 THEN 1 ELSE 0 END) AS bit_count FROM my_table
UNION ALL SELECT 3 AS "col", SUM(CASE WHEN bit_col & 16 > 0 THEN 1 ELSE 0 END) AS bit_count FROM my_table
UNION ALL SELECT 4 AS "col", SUM(CASE WHEN bit_col & 8 > 0 THEN 1 ELSE 0 END) AS bit_count FROM my_table
UNION ALL SELECT 5 AS "col", SUM(CASE WHEN bit_col & 4 > 0 THEN 1 ELSE 0 END) AS bit_count FROM my_table
UNION ALL SELECT 6 AS "col", SUM(CASE WHEN bit_col & 2 > 0 THEN 1 ELSE 0 END) AS bit_count FROM my_table
UNION ALL SELECT 7 AS "col", SUM(CASE WHEN bit_col & 1 > 0 THEN 1 ELSE 0 END) AS bit_count FROM my_table
ORDER BY bit_count DESC
;
position | bit_count
----------+-----------
6 | 6
7 | 6
4 | 4
5 | 4
2 | 0
3 | 0
1 | 0
http://docs.aws.amazon.com/redshift/latest/dg/r_OPERATOR_SYMBOLS.html
EDIT: If you would like something more dynamic you will need to look into using a UDF. You could start with my f_bitwise_to_string
UDF as a template and add what you need from there. https://github.com/awslabs/amazon-redshift-udfs/blob/master/scalar-udfs/f_bitwise_to_string.sql