Practical Electronics/Logic/Boolean Identities Summary

DeMorgan's Law

Name	Statement
Associative Law	$A\cdot B\cdot C=\left(A\cdot B\right)\cdot C=A\cdot \left(B\cdot C\right)$
Distributive Law	$A\cdot \left(B+C\right)=\left(A\cdot B\right)+\left(A\cdot C\right)$
Commutative Laws	$A\cdot B=B\cdot A$
	$A+B=B+A\,$
	$A\oplus B=B\oplus A$
DeMorgan's Law (1)	${\overline {A+B}}={\overline {A}}\cdot {\overline {B}}$
DeMorgan's Law (2)	${\overline {A\cdot B}}={\overline {A}}+{\overline {B}}$