this is for holding javascript data
Michela Ceria edited bits4.tex
about 6 years ago
Commit id: 6ebc283b21e83a654c3bc2ea971ceef4c122c4d5
deletions | additions
diff --git a/bits4.tex b/bits4.tex
index 08b6b35..55fd29e 100644
--- a/bits4.tex
+++ b/bits4.tex
...
\[
\NOT(x\, \OR \, y)=\NOT(x)\, \AND\, \NOT(y)
\]
From this
follows our $o(x,y)$ function we deduce that
$$
o(x,
y)=\NOT(\NOT(x)\, y)=\NOT(\NOT(x\, \OR \, y))=\NOT(\NOT(x)\, \AND\, \NOT(y)).
$$
Translating in polynomials with coefficients in $\Fb$ we have Since the
operator $\AND$ corresponds to multiplication, the above formula becomes
\[
o(x,y)=(x+1)\times(y+1)+1. o(x,y)=\big((x+1)(y+1)\big)+1.
\]
That Wich is after simplifications
\[
o(x,y)=xy+x+y.
\]