# Multiplication mod 2

• Feb 8th 2010, 08:49 AM
Migotek84
Multiplication mod 2
Hi,
Maybe it is obvious but I must be sure. Is it true that:
$x_1x_1+x_1x_2+x_1=x_1x_2$
or simply that:
$x_1x_1+x_1=0$?
We are working in $F_2$.
• Feb 8th 2010, 08:59 AM
tonio
Quote:

Originally Posted by Migotek84
Hi,
Maybe it is obvious but I must be sure. Is it true that:
$x_1x_1+x_1x_2+x_1=x_1x_2$
or simply that:
$x_1x_1+x_1=0$?
We are working in $F_2$.

Well, just check when $x_1=1\,\,\,and\,\,\,when\,\,\,x_1=0$ , the only two elements we have in $\mathbb{F}_2$. Yes, the identity is trivially true then.

Tonio
• Feb 8th 2010, 09:04 AM
Migotek84
Thanks for help(Happy)