In this homework assignment, you are going to design a Synchronous Binary even and odd up-counter sequential circuit with input x. When x=0, the circuit is an even loop up-counter from 0 to 14. When x=1, the circuit will be an odd loop up-counter for 1 to 15. Examples for odd-even and even-odd transitions: While x=0, if x input changes to x=1, the circuit move to nearest number available in the odd number. For example; x=0, the circuit counts 0-2-4, then x is set to 1, the circuit output will be 5-7-9... While x=1, if x input changes to x=0, the circuit move to nearest number available in the even number. For example; x=1, the circuit counts 1-3-5, then x is set to 0, the circuit output will be 6-8-10... Your design should include the following steps: Obtain state diagram, Determine the number of Flip-Flips and the type of the Flip-Flops, Obtain the excitation table of the circuit, Determine the input functions of each Flip-Flop, Draw the circuit logic diagram