1) We consider the sequential circuit of Figure 1. In this circuit the status bi

ID: 2292194 • Letter: 1

Question

We consider the sequential circuit of Figure 1. In this circuit the status bits are Q2, Q1 and Q0 (Q2 is the most significant bit).

a) Is this circuit an asynchronous or synchronous sequential circuit?

b) Do latches respond to rising edges or falling edges of the clock?

c) Is it a Moore or Mealy machine? To justify?

d) Give the excitation equations of the flip-flops according to Q2, Q1 and Q0.

e) Give the equations of the output function Z.

f) Evaluate the equations Q2 +, Q1 + and Q0 + of the three flip-flops as a function of Q2, Q1 and Q0.

g) Set the next states table.

h) Draw the next states diagram.

K2 O1 Ti QI Do Clocl FIG.1

a) It's a synchronous sequential circuit design as next state and output Z can change at clock transitions of Latch.

b) Latch responds to rising edge

c) Its a Moore Machine as output depends only on state.

d) Equation for Q2(next) = J2Q2' + K2'Q2 , Q1(next) = T1 xor Q1 and Q0(next) = D0

e) Z = (Q2 . Q1 . Q0)'

f) Q2+ = (Q1' + Q0)Q2' + (Q1 + Q0)Q2

Q1+ = (Q1 + Q0) xor Q1

Q0+ = Q0' . (Q2 xor Q1)

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.