What are the four fundamental Boolean operations and their symbols?

Question

Accepted Answer

AND (&), OR (|), NOT (~), and XOR (^) — each combines bits by a fixed rule, one bit position at a time.

Operation
Symbol
C Operator
Result

AND
A&B
&
1 only if both inputs are 1

OR
A|B
|
1 if either input is 1

NOT
~A
~
Inverts each bit

XOR
A^B
^
1 if inputs differ

Truth table for XOR:
0^0 = 0    0^1 = 1
1^0 = 1    1^1 = 0

Tip: XOR is "exclusive or" - true when inputs are different.
Go deeper:

Bitwise operation (Wikipedia) — AND, OR, XOR, NOT and the shifts, with truth tables and uses.

Operation	Symbol	C Operator	Result
AND	A&B	`&`	1 only if both inputs are 1
OR	A\|B	`\|`	1 if either input is 1
NOT	~A	`~`	Inverts each bit
XOR	A^B	`^`	1 if inputs differ