$G_1 = (V, \Sigma, P, S), V = \{S, A\}, \Sigma = \{0,1\}$\\
\\
$P = \left\{
\begin{array}{lcl}
	S & \rightarrow & A111\;|\;0A\\
	A & \rightarrow & 1A\;|\;S\;|\;0\;|\;1\\
\end{array}\right.$