Design a two-bit up/down binary counter using D flip-flops that can count in binary from 0 to 7.
Design a two-bit up/down binary counter using D flip-flops that can count in binary from 0 to 7. When the control input x is 0, the circuit counts down, and when it is 1, the circuit counts up.
(a) Obtain the state table of the two-bit counter.
(b) Obtain the state diagram
(c) Draw the logic diagram of the circuit.
Homework Answers
(a) State Table
|
INPUT |
PRESENT STATE |
NEXT STATE |
||
|
X |
Q1 |
Q0 |
Q1+ |
Q0+ |
|
0 |
0 |
0 |
1 |
1 |
|
0 |
0 |
1 |
0 |
0 |
|
0 |
1 |
0 |
0 |
1 |
|
0 |
1 |
1 |
1 |
0 |
|
1 |
0 |
0 |
0 |
1 |
|
1 |
0 |
1 |
1 |
0 |
|
1 |
1 |
0 |
1 |
1 |
|
1 |
1 |
1 |
0 |
0 |
(b) State Diagram
(c)
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Design a two-bit up/down binary counter using D flip-flops that can count in binary from 0 to 7.
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