4. Use D-flip flop to design a sequential circuit for 3-bit counter for even and odd numbers. Use an input x to control the counter when x 0, the state of the counter does not change. When x-, the state sequence is incremented to the next count. Use another input y to change from even count to odd count and vice versa. Switching between the even and odd counts is accomplished by y where y-0 is used for the even counts and yl is used for the odd counts The even counts are: 000, 010, 100, 110, and repeat. The odd counts are: 001, 011, 101, 111, and repeat When y-0, any odd count is initialized to 000 regardless of the value of x and when y-1, any even count is initialized to 001 i- Construct the state diagram and match it to one of the following; x= 1 y-0 000 X-1 x0110 x=1 011 x=1 b- x-0 y 010 011 X 100110 x= , 101 X 110 111 x-0 x0 1 y-0 :/ 000 \ 100 110 X-011 101111 x-0 x=0 d- 010 X1 100-X=1 y=1 001 011 101 110 x=0