Running multisite and multi domains

Hi,

I am looking to set up a multisite, but I want to run across two domains.

Is this possible?

What I want to achieve is two websites one WP-admin login.

The websites will be an English version and a French version of the site, on two different domains.

The websites themselves will be fairly straight forward, with about 3 contact forms on each site and 2 or 4 small galleries on both.

On the front end there will be two flags, Union Jack and French Tricolour for visitors to switch between the sites.

The content in French and english will be manually updated, there will not be a language translation plugin used.

Initially I am just looking into the possibility of this as a solution.

Many thanks in advance