ECE320 digital design " Sequential circuits " HW

profileHaneen
hw8.docx
Home>Engineering homework help>Electrical Engineering homework help>ECE320 digital design " Sequential circuits " HW

ECE 2320 – Homework No.8 R. Roosta

1. Given the state diagram below, design a synchronous sequential circuit using D flip-flops to implement it. Your implementation must have a minimum number of flip-flops and a “good” state assignment. Carefully show your work.

a

b

c

f

e

d

0/1

1/0

1/0

0/0

1/0

0/1

0/1

0/1

1/0

1/1

1/1

0/0

2. Give a state diagram for a synchronous sequential circuit to detect a start of a message sequence of 11 or 1001. That is, when the circuit is reset, it outputs a 1 when the sequence 11 or 1001 is first detected. The input sequence is synchronous with a clock source. A black box view of the circuit is show below.

Sequence Detector

reset

Message bits

clock

Output

3. Analyze the following synchronous sequential circuit. You are to give the state diagram for this circuit.

AND

Q J

Q’ K

Q

D

Clock

X

Z

Y2

Y’2

Y1

4. Design a counter counting this sequence 0, 2, 4, 6, 8, 10, 12, 14. ( Using T flip flop)

5. A sequential circuit has 2 inputs (x, y), 3 flip flops (A, B, C) and one output (z), with equations below. Obtain the logic diagram and state table.

A (t*) = xB’+yC

B(t*) = A’Cx

C(t*) = ((x+y)B’)’

Z = x’C + C’x + ABy’x

1