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Logic Gates
AND
OR
NOT
XOR
NOT gate
inverter

AND gate

OR gate

XOR gates

AND
∧
OR
∨
NOT
¬ (A)
Ā
De Morgans Law

Other simplifying Boolean expression rules
Commutative
Associative
Distributive
Absorption
Commutative
order isn’t important

Associative
If size same, order isn’t important

Distributive
Expand brackets, swap operators

Absorption Rules
If signs opposite inside and outside bracket, most common one
