(Solved): 3) Design, build and test a sequential circuit with JK flip flops A sequential circuit has two JK f ...

3) Design, build and test a sequential circuit with JK flip flops

A sequential circuit has two JK flip-flops A and B and one input x. The circuit is described by the following flip-flop input equations:

JA = x

KA = B

JB = x

KB = A’

a) Derive the state equation A(t+1) and B(t+1) by substituting the input equations for the J and K variables.

b) Complete the table

c) Draw the state diagram for the circuit

d) Draw the logic circuit diagram

e) show the timing diagram

 

** I am using Quartus to run the circuit***

\begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline \( \mathrm{x}(\mathrm{t}) \) & \( \mathrm{A}(\mathrm{t}) \) & \( \mathrm{B}(\mathrm{t}) \) & \( \mathrm{JA}(\mathrm{t}) \) & \( \mathrm{KA}(\mathrm{t}) \) & \( \mathrm{JB}(\mathrm{t}) \) & \( \mathrm{KB}(\mathrm{t}) \) & \( \mathrm{A}(\mathrm{t}+1) \) & \( \mathrm{B}(\mathrm{t}+1) \) \\ \hline 0 & 0 & 0 & & & & & & \\ \hline 0 & 0 & 1 & & & & & & \\ \hline 0 & 1 & 0 & & & & & & \\ \hline 0 & 1 & 1 & & & & & & \\ \hline 1 & 0 & 0 & & & & & & \\ \hline 1 & 0 & 1 & & & & & & \\ \hline 1 & 1 & 0 & & & & & & \\ \hline 1 & 1 & 1 & & & & & & \\ \hline \end{tabular}