on the interval $\left[0,1\right]$ with initial condition $X\left(0\right)=1$ and step size $\Delta t=1\u221510$. Use the results of your coin-tossing record which was rescaled to ${\u0174}_{10}\left(10t\right)\u2215\sqrt{10}$ as an approximation of $W\left(t\right)$ to create the 10 increments $dW$ needed for the simulation.
by guessing and checking with Itô’s Formula.