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3. 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;

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3. 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 = 1, the state sequence is incremented to the next count. Use another input y to change from even count to odd count and vice versa The even counts are: 000, 010, 100, 110, and repeat. The odd counts are: 001, 01, 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 Construct the state diagram and match it to one of the following: x-0 y-0 000 010 0 x100 +( 110 x-011 y-i ( 001). 2-0 101-X x-0 b- y=1 ( 010 ) 011 100XI 110 101 110XI x-0 x=0 x-0 y-0 000 010 100 110 y=1 ( 001 )-x-1 xi 101 x-0 x=0 x-0 x-0 010X 100XI ( 111 001X 01 1-X-1-101-1 10 x-0 x=0

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