  We study a non-ergodic one-dimensional probabilistic cellular automata, where
each component can assume the states $\+$ and $\-.$ We obtained the limit
distribution for a set of measures on $\{\+,\-\}^\Z.$ Also, we show that for
certain parameters of our process the mean time of convergence can be finite or
infinity. When it is finite we have showed that the upper bound is function of
the initial distribution.
