
Boolean logic can also be expressed as calculations mod 2

![Or mod 2](/img/Uni/CaC/ECC/or_mod2.png)

| Boolean     | Mod 2    |
| ----------- | -------- |
| $x \land y$ | $xy$     |
| $x \lor y$  | $x+y+xy$ |
| $\lnot x$   | $x+1$    |
| $x\oplus y$ | $x+y$    |


Reed-Muller codes

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notes

Boolean	Mod 2
$x \land y$	$$xy$$
$x \lor y$	$$x+y+xy$$
$\lnot x$	$$x+1$$
$x\oplus y$	$$x+y$$