The bitwise operators are a TransactSQL extension for use with integer type data. These operators convert each integer operand into its binary representation, then evaluate the operands column by column. A value of 1 corresponds to true; a value of 0 corresponds to false.
This table summarizes the results for operands of 0 and 1. If either operand is NULL, the bitwise operator returns NULL:
& ( and) 
1 
0 
1 
1 
0 
0 
0 
0 



 ( or) 
1 
0 
1 
1 
1 
0 
1 
0 



^ (exclusive or) 
1 
0 
1 
0 
1 
0 
1 
0 



~ (not) 


1 
FALSE 

0 
0 

The examples in this table use two tinyint arguments, A = 170 (10101010 in binary form) and B = 75 (01001011 in binary form):
Operation 
Binary Form 
Result 
Explanation 

(A & B) 
10101010 01001011  00001010 
10 
Result column equals 1 if both A and B are 1. Otherwise, result column equals 0. 
(A  B) 
10101010 01001011  11101011 
235 
Result column equals 1 if either A or B, or both, is 1. Otherwise, result column equals 0 
(A ^ B) 
10101010 01001011  11100001 
225 
Result column equals 1 if either A or B, but not both, is 1 
(~A) 
10101010  01010101 
85 
All 1s are changed to 0s and all 0s to 1s 