Bitwise OR:
mysql> SELECT 29 | 15;
        -> 31
The result is an unsigned 64-bit integer.

&
Bitwise AND:
mysql> SELECT 29 & 15;
        -> 13
The result is an unsigned 64-bit integer.

^
Bitwise XOR:
mysql> SELECT 1 ^ 1;
        -> 0
mysql> SELECT 1 ^ 0;
        -> 1
mysql> SELECT 11 ^ 3;
        -> 8
The result is an unsigned 64-bit integer.

<<
Shifts a longlong (BIGINT) number to the left.
mysql> SELECT 1 << 2;
        -> 4
The result is an unsigned 64-bit integer.

>>
Shifts a longlong (BIGINT) number to the right.
mysql> SELECT 4 >> 2;
        -> 1
The result is an unsigned 64-bit integer.

~
Invert all bits.
mysql> SELECT 5 & ~1;
        -> 4
The result is an unsigned 64-bit integer.

BIT_COUNT(N)
Returns the number of bits that are set in the argument N.
mysql> SELECT BIT_COUNT(29);
        -> 4

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