The language L consists of all strings of 0s and 1s that contain an even number of 0s and an even number of 1s. A DFA that accepts this language can be constructed as follows:
1. Start with the initial state q0.
2. If the input is 0, transition to state q1.
3. If the input is 1, transition to state q2.
4. From state q1, if the input is 0, transition back to state q0. If the input is 1, transition to state q3.
5. From state q2, if the input is 1, transition back to state q0. If the input is 0, transition to state q4.
6. From state q3, if the input is 1, transition back to state q1. If the input is 0, transition to state q5.
7. From state q4, if the input is 0, transition back to state q2. If the input is 1, transition to state q6.
8. From state q5, if the input is 1, transition back to state q2. If the input is 0, transition to state q7.
9. From state q6, if the input is 0, transition back to state q3. If the input is 1, transition to state q8.
10. From state q7, if the input is 1, transition back to state q3. If the input is 0, transition to state q9.
11. From state q8, if the input is 0, transition back to state q4. If the input is 1, transition to state q10.
12. From state q9, if the input is 1, transition back to state q4. If the input is 0, transition to state q11.
13. From state q10, if the input is 0, transition back to state q5. If the input is 1, transition to state q12.
14. From state q11, if the input is 1, transition back to state q5. If the input is 0, transition to state q13.
15. From state q12, if the input is 0, transition back to state q6. If the input is 1, transition to state q14.
16. From state q13, if the input is 1, transition back to state q6. If the input is 0, transition to state q15.
17. From state q14, if the input is 0, transition back to state q7. If the input is 1, transition to state q16.
18. From state q15, if the input is 1, transition back to state q7. If the input is 0, transition to state q17.
19. From state q16, if the input is 0, transition back to state q8. If the input is 1, transition to state q18.
20. From state q17, if the input is 1, transition back to state q8. If the input is 0, transition to state q19.
21. From state q18, if the input is 0, transition back to state q9. If the input is 1, transition to state q20.
22. From state q19, if the input is 1, transition back to state q9. If the input is 0, transition to state q21.
23. From state q20, if the input is 0, transition back to state q10. If the input is 1, transition to state q22.
24. From state q21, if the input is 1, transition back to state q10. If the input is 0, transition to state q23.
25. From state q22, if the input is 0, transition back to state q11. If the input is 1, transition to state q24.
26. From state q23, if the input is 1, transition back to state q11. If the input is 0, transition to state q25.
27. From state q24, if the input is 0, transition back to state q12. If the input is 1, transition to state q26.
28. From state q25, if the input is 1, transition back to state q12. If the input is 0, transition to state q27.
29. From state q26, if the input is 0, transition back to state q13. If the input is 1, transition to state q28.
30. From state q27, if the input is 1, transition back to state q13. If the input is 0, transition to state q29.
31. From state q28, if the input is 0, transition back to state q14. If the input is 1, transition to state q30.
32. From state q29, if the input is 1, transition back to state q14. If the input is 0, transition to state q31.
33. From state q30, if the input is 0, transition back to state q15. If the input is 1, transition to state q32.
34. From state q31, if the input is 1, transition back to state q15. If the input is 0, transition to state q33.
35. From state q32, if the input is 0, transition back to state q16. If the input is 1, transition to state q34.
36. From state q33, if the input is 1, transition back to state q16. If the input is 0, transition to state q35.
37. From state q34, if the input is 0, transition back to state q17. If the input is 1, transition to state q36.
38. From state q35, if the input is 1, transition back to state q17. If the input is 0, transition to state q37.
39. From state q36, if the input is 0, transition back to state q18. If the input is 1, transition to state q38.
40. From state q37, if the input is 1, transition back to state q18. If the input is 0, transition to state q39.
41. From state q38, if the input is 0, transition back to state q19. If the input is 1, transition to state q40.
42. From state q39, if the input is 1, transition back to state q19. If the input is 0, transition to state q41.
43. From state q40, if the input is 0, transition back to state q20. If the input is 1, transition to state q42.
44. From state q41, if the input is 1, transition back to state q20. If the input is 0, transition to state q43.
45. From state q42, if the input is 0, transition back to state q21. If the input is 1, transition to state q44.
46. From state q43, if the input is 1, transition back to state q21. If the input is 0, transition to state q45.
47. From state q44, if the input is 0, transition back to state q22. If the input is 1, transition to state q46.
48. From state q45, if the input is 1, transition back to state q22. If the input is 0, transition to state q47.
49. From state q46, if the input is 0, transition back to state q23. If the input is 1, transition to state q48.
50. From state q47, if the input is 1, transition back to state q23. If the input is 0, transition to state q49.
51. From state q48, if the input is 0, transition back to state q24. If the input is 1, transition to state q50.
52. From state q49, if the input is 1, transition back to state q24. If the input is 0, transition to state q51.
53. From state q50, if the input is 0, transition back to state q25. If the input is 1, transition to state q52.
54. From state q51, if the input is 1, transition back to state q25. If the input is 0, transition to state q53.
55. From state q52, if the input is 0, transition back to state q26. If the input is 1, transition to state q54.
56. From state q53, if the input is 1, transition back to state q26. If the input is 0, transition to state q55.
57. From state q54, if the input is 0, transition back to state q27. If the input is 1, transition to state q56.
58. From state q55, if the input is 1, transition back to state q27. If the input is 0, transition to state q57.
59. From state q56, if the input is 0, transition back to state q28. If the input is 1, transition to state q58.
60. From state q57, if the input is 1, transition back to state q28. If the input is 0, transition to state q59.
61. From state q58, if the input is 0, transition back to state q29. If the input is 1, transition to state q60.
62. From state q59, if the input is 1, transition back to state q29. If the input is 0, transition to state q61.
63. From state q60, if the input is 0, transition back to state q30. If the input is 1, transition to state q62.
64. From state q61, if the input is 1, transition back to state q30. If the input is 0, transition to state q63.
65. From state q62, if the input is 0, transition back to state q31. If the input is 1, transition to state q64.
66. From state q63, if the input is 1, transition back to state q31. If the input is 0, transition to state q65.
67. From state q64, if the input is 0, transition back to state q32. If the input is 1, transition to state q66.
68. From state q65, if the input is 1, transition back to state q32. If the input is 0, transition to state q67.
69. From state q66, if the input is 0, transition back to state q33. If the input is 1, transition to state q68.
70. From state q67, if the input is 1, transition back to state q33. If the input is 0, transition to state q69.
71. From state q68, if the input is 0, transition back to state q34. If the input is 1, transition to state q70.
72. From state q69, if the input is 1, transition back to state q34. If the input is 0, transition to state q71.
73. From state q70, if the input is 0, transition back to state q35. If the input is 1, transition to state q72.
74. From state q71, if the input is 1, transition back to state q35. If the input is 0, transition to state q73.
75. From state q72, if the input is 0, transition back to state q36. If the input is 1, transition to state q74.
76. From state q73, if the input is 1, transition back to state q36. If the input is 0, transition to state q75.
77. From state q74, if the input is 0, transition back to state q37. If the input is 1, transition to state q76.
78. From state q75, if the input is 1, transition back to state q37. If the input is 0, transition to state q77.
79. From state q76, if the input is 0, transition back to state q38. If the input is 1, transition to state q78.
80. From state q77, if the input is 1, transition back to state q38. If the input is 0, transition to state q79.
81. From state q78, if the input is 0, transition back to state q39. If the input is 1, transition to state q80.
82. From state q79, if the input is 1, transition back to state q39. If the input is 0, transition to state q81.
83. From state q80, if the input is 0, transition back to state q40. If the input is 1, transition to state q82.
84. From state q81, if the input is 1, transition back to state q40. If the input is 0, transition to state q83.
85. From state q82, if the input is 0, transition back to state q41. If the input is 1, transition to state q84.
86. From state q83, if the input is 1, transition back to state q41. If the input is 0, transition to state q85.
87. From state q84, if the input is 0, transition back to state q42. If the input is 1, transition to state q86.
88. From state q85, if the input is 1, transition back to state q42. If the input is 0, transition to state q87.
89. From state q86, if the input is 0, transition back to state q43. If the input is