We already saw the truth tables. These apply to bit values.

OR Truth table
a b| a OR b
-------------
0 0| 0
0 1| 1
1 0| 1
1 1| 1

XOR Truth table
a b| a XOR b
-------------
0 0| 0
0 1| 1
1 0| 1
1 1| 0

AND Truth table
a b| a AND b
------------
0 0| 0
0 1| 0
1 0| 0
1 1| 1

NOT Truth table
 c| NOT(c)
-------
 0| 1
 1| 0


How do we apply these to binary values?
For all of these operations, do a bit operation (refer to the truth tables)
on each column. 
For each bit of the result, you only need the values in the column. 
Here are examples.

    00110101
AND 11101100
------------
    00100100   


    00110101
OR  11101100
------------
    11111101


    00110101
XOR 11101100
------------
    11011001


NOT only has one operand.

NOT 00110101
------------
    11001010