$($GRADED $3$ points$)$ On $=\{0,1\}$

Draw the NFA figure defined by:

$(q0,1)=\{q1\}$

$(q0,)=\{q2\}$

$(q1,1)=\{q2\}$

$(q2,1)=\{q1\}$

$(q2,0)=\{q3,q4\}$

$(q4,0)=\{q2\}$

q $0$ is the initial state and q $3$ is the final$($accepting$)$ state

Convert the NFA to a DFA $($show all your work$)$