Difference between "and" and "&"
print @T &amp; @F


Returns 0

&amp; is the Bitwise AND operator.


  The &amp; bitwise operator performs a bitwise logical AND between the two
  expressions, taking each corresponding bit for both expressions. The
  bits in the result are set to 1 if and only if both bits (for the
  current bit being resolved) in the input expressions have a value of
  1; otherwise, the bit in the result is set to 0.


In your case @T &amp; @F resolves to 1 &amp; 0 and so returns a result of datatype BIT with value 0

When passed to the PRINT operator this bit result is implicitly cast to string and the result output to the client.



print @T and @F


Has quite a lot wrong with it.

AND


  Combines two Boolean expressions and returns TRUE when both expressions are TRUE


bit is not the same as boolean. They are not interchangeable and SQL Server won't implicitly cast bit to a boolean datatype when needed (SQL Server does not implement the SQL Boolean datatype.).

So you would need to use an expression like 

@T = 'TRUE' AND @F = 'TRUE'


instead of

@T and @F


Even then your problems aren't over - PRINT doesn't accept a boolean expression anyway. You could use the expression in CASE as below.

PRINT CASE 
          WHEN     (@T = 'TRUE' AND @F = 'TRUE') THEN 'True' 
          WHEN NOT (@T = 'TRUE' AND @F = 'TRUE') THEN 'False' 
          ELSE 'Unknown' -- SQL uses three valued logic
      END