we have L1 = { 01,001,011,0011.................}
L2= {ε, 01,0101,010101.....................}
now using right quotient : L1/L2
= { 01/ε, 001/ε,011/ε ,01/01 , 001/01, 0001/01............, 011/01, 0011/01..........}
= { 01,001,011,.....ε , 0 , 00 , 000, ................................. ϕ , ϕ }
= { 0 * } + 0+1+
the Dfa will have 4states q0 = intial and final state both , q1,q3 = final states ,dead state.
answer : 4states.