ECE 320 Homework #6

1. Derive the state table and state diagram of the sequential circuit of the Figure below.What is the function of the circuit?

Q’ Q

A’ A

T T

Q’ Q

B’ B

ECE 320 Homework #6

2. A sequential circuit has four flip-flops A,B,C,D an input x and output z. It is described by the following state equations:

A(t*)=(CD’+C’D)+(CD+C’D’)xB(t*)=AC(t*)=BD(t*)=Cz=AB’+CD’

Construct the state table and state diagram.

3. A sequential circuit has two flip-flops (A and B), two inputs (x and y) and an output (z). The flip-flop input functions and the circuit output function are as follow:

JA=xB+y’B’ KA=xy’B’

JB=xA’ KB=xy’+A z=xyA+x’y’B

Obtain the logic diagram, state table and state diagram

ECE 320 Homework #6

4. A sequential circuit has one input and one output. The state diagram is shown in Figure below. Design the sequential circuit with:

a) T flip-flopb) JK flip-flopc) D flip-flop 001

100

010

000

011

1/1 0/0

0/0

0/0

0/0

0/01/1 1/1

1/1

1/0

ECE 320 Homework #6

5. Design a counter with the following sequence: 0,1,3,2,6,4,7 and repeat. (Use JK flip-flop)

6. Design a counter that counts the decimal digits according to the 84-2-1 code. (Use T flip-flop)