The two$-$dimensional state table of a Mealy sequential circuit is given below.

State $x$ can be one of the following states: $A,B,C$ or D $,$ which is derived with the $5^{th}$ digit

of your student ID number. First, let $a=$pmod$4,$ where $p$ is the $5^{th}$ digit of your SID

number. Then, for finding $x$ :

Example: if your student identity number is $22325698,$ then, $a=5$mod$4=1,x$ is $B.$

$($a$)$ Derive $x$ of your sequential circuit.

use the following SID number to solve

this question $21084996$A

$($b$)$ Draw the state diagram for the circuit.

$($c$)$ Assign the states of the circuit using counting order. Hence, construct the

two$-$dimensional state table for the circuit again using state variables A and $B.$

$($d$)$ Implement the sequential circuit based on your result in $($c$),$ using T flip$-$flops and

logic gates.

$($e$)$ Assume that the "one$-$hot assignment" encoding method is used instead. Construct the

two$-$dimensional state table for the circuit using state variables $A,B,C$ and $D.$ Write

down the four next state equations and output equation $($in their simplified form$)$ of

the circuit.