Binomial Pricing a Binary Call

We want to find the fair-value of a European binary call on an underlying $S$ with initial value $S_0 = 4$. At each time step, the underlying can either grow by $90\%$ or shrink by $30\%$. At expiry ($T = 2$), the call will pay $1$ if $S > 2$ and $0$ otherwise. Round to $3$ decimal points.