How to do an inner join on row number in sql server

Question

SQL Server 2008

Two tables:

Table A has following data:

RowA
RowB
RowC
RowD

Table B has following data:

Row4
Row3
Row2
Row1

I want to get the following output:

RowA Row1
RowB Row2
RowC Row3
RowD Row4

The only common value between the two tables is the row number

I can get the data individually of course:

SELECT val
FROM A
ORDER BY val

SELECT val
FROM B
ORDER BY val

But how do I join on the row number?

And what if I don't have an order-by, but just want the rows in the order they come out?

RowA Row4
RowB Row3
RowC Row2
RowD Row1

as in the join of

SELECT val
FROM A

SELECT val
FROM B

Answer 1

try this:

USE ROW_NUMBER() function in sql server 2008

select A.val,B.val 
from(
    SELECT val,row_number() over (order by val) as row_num
    FROM A)A
join
    (SELECT val,row_number() over (order by val) as row_num
    FROM B)B
on  A.row_num=B.row_num
ORDER BY A.val,B.val

SQL fiddle demo