Bitwise
From Xojo Documentation
Performs bitwise operations on integers. The BitWise class supports operations on 64bit integers. However, you can still pass 32bit integers and work with the result as a 32bit integer.
Methods  

Notes
You do not need to create an instance of the Bitwise class in order to access its methods. It is a special object, like System or Application, that always exists.
The And, Not, Or, and Xor operators are overloaded. They can be passed either booleans or integers. If they are passed integers, they perform the corresponding bitwise operators that are supported by the Bitwise class.
BitAnd
The BitAnd method returns a UInt64 that is the result of comparing each bit of the two integers passed (or contiguous integers passed if passing three or more integers) and assigning 1 to the bit position in the integer returned if both bits in the same position in the integer passed are 1. Otherwise, 0 is assigned to the bit position.
BitOr
The BitOr method returns a UInt64 that is the result of comparing each bit of the two integers passed (or contiguous integers passed if passing three or more integers) and assigning 1 to the bit position in the integer returned if either of the bits in the same position in the integers passed are 1. Otherwise, 0 is assigned to the bit position.
BitXor
The BitXor method returns a UInt64 that is the result of comparing each bit of the two integers passed (or contiguous integers passed if passing three or more integers) and assigning 1 to the bit position in the integer returned if both bits in the same position in the integers passed are not equal. Otherwise, 0 is assigned to the bit position.
The following table shows the results:
Integer1  Integer2  BitAnd  BitOr  BitXor 

0  0  0  0  0 
0  1  0  1  1 
1  0  0  1  1 
1  1  1  1  0 
The And, Or, Xor, and Not operators are overloaded. They can perform both logical operations (when passed booleans) or bitwise operations when passed integers. In the latter case, they perform the same functions as the BitAnd, BitOr, and BitXor methods of the Bitwise class.
Ones complement is sometimes used to represent positive and negative numbers. Positive numbers start with zeros and negative numbers start with ones. The only problem is that zero is represented two ways:
Decimal  Ones complement  Signed Decimal 

0  000  0 
1  001  1 
2  010  2 
3  011  3 
4  100  3 
5  101  2 
6  110  1 
7  111  0 
Examples
The following examples perform bitand, bitor, and bitxor operations on the passed integers.
i = Bitwise.BitAnd(5, 3) // returns 1
i = Bitwise.BitOr(5, 3) // returns 7
i = Bitwise.BitXor(5, 3) // returns 6
The following example illustrates how to reexpress a bit expression that was written in C. The following expression in C:
would become: