Design a regular grammar to generate the set of all even integers. Design a regular grammar to generate the set of all odd integers. Design a regular grammar to generate the set of all integers beginning with the digit 8 such that the digits are consecutive and even. If a digit is 8, its following digit (if present) will be 0. The set of valid strings is {8, 80, 802,8024, 80246, 802468,...) Design a regular grammar to generate the set of all integers that begin with a digit having a remainder of 3 when divided by 4. Any non-ending digit having a remainder of 3 when divided by 4 will be immediately followed by a digit having a remainder of 2 when divided by 4, and vice versa. The set of valid strings is (3, 32, 36,7,72,76,323, 327, 363, 367,723, 727,763,767,...^ 6. 7. 8. 9