A sequential circuit contains two J-K flip-flops; the
Chapter 15, Problem 15.39(choose chapter or problem)
A sequential circuit contains two J-K flip-flops; the excitation equations for the flip-flops are \(J_1=Q_2, K_1=Q_1, J_2=X+Q_1^{\prime}\), and \(K_2=1\).
(a) Convert the circuit into an equivalent one where each J-K flip-flop is replaced by a T flip-flop. Do this by converting the next-state equations into the form for a T flip-flop. (Hint: \(M Q+N Q^{\prime}=\left(M^{\prime} Q+N Q^{\prime}\right)^{\prime} Q+\left(M^{\prime} Q+N Q^{\prime}\right) Q^{\prime}\).)
(b) Repeat part (a) by constructing an excitation table for the T flip-flops (i.e., a truth table for \(T_1\) and \(T_2\) as a function of \(X, Q_1\), and \(Q_2\) ).
(c) Convert the circuit into an equivalent one where each D flip-flop is replaced by an S-R flip-flop. Do this by converting the next-state equations into the form for a S-R flip-flop.
(d) Repeat part (c) by constructing an excitation table for the S-R flip-flops (i.e., a truth table for the S and R flip-flop inputs as a function of \(X, Q_1\), and \(Q_2\) ).
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