I strongly believe u really want to use state elimination method for this . if u want to learn u can google it out and apply .
the best and efficient way is the option elimination method . it works , fast.
1- take option 1 and 4 and make the start term null. as we can take it any number of time . i will take it zero time .
now only 01 remains . and 01 is not accepted,
now check for 2 and 3 u will get 2 as answer