Design a counter to count-up from 2 to 7 using three of D Flip Flops (3) 3-Bit Count up (3 to 5) Using D Flip-Flop: The State Equation of D Flip-Flop: Q(t+1)=D(t) => Dn=Qn Present State D Flip-Flop Next State n Q2p Q1p Q0p 3 0 1 1 1 Q2n Q1n Q0n D2 D1 D0 0 0 1 0 0 4 1 0 0 1 0 1 1 0 1 5 1 0 1 0 1 1 01 1 D2-Sum(3,4) and don't care X-Sum(0,1,2,6,7) D1=Sum(5) and don't care X=Sum(0,1,2,6,7) D0=Sum(4,5) and don't care X=Sum(0,1,2,6,7) Using K-map to simplify the functions: D2=Q1+Q0' D1=Q1'QO DO=Q1' XOX XOX Q2 10 Q2 01 Q2 1xx Q0 QO Qo D2 Q2 >CK Q2 D1 Q1 BCD CK Q1 DO QF ►CK Q0 ☐ Present State Next State D Flip-Flop n Q2p Q1p Q0p Q2n Q1n Q0n D2 D1 D0 2 0 1 0 0 1 1 0 1 1 3 0 1 1 1 0 0 1 00 4 1 0 0 1 0 1 1 0 1 5 1 0 1 1 1 0 1 1 0 6 1 1 0 0 1 0 0 1 0 D2 D2=Sum(3,4,5), X=Sum(0,1,7) D1 Q2 1 Q1 1 0 ☑ 0 Qo D2=Q0+Q1' ✗ 0 Q1 D2=Sum(3,4,5), X=Sum(0,1,7) D1=Sum(2,5,6), X=Sum(0,1,7) D0=Sum(2,4), X=Sum(0,1,7) ☐ D2 22 D1 Q2 22 ☑ QO D2=Q0+Q1' Q1 DO. 0 Q1 0 0 Q2 0 1 X 1 QO D1=Q0Q1+Q0Q1 Q1 ☑。 1 22 Q2 1 0 Design A Counter To Count-Up From 2 to 6 Using D Flip Flops Date: October 23, 2023 QO D0=QO'Q1'+Q0'Q2' D2 = Q1'+Q0 Q2 D D D D D D1 = Q1.00 + Q1.Q0 Q D D Q DOQ0'.Q2' + QO'.Q1' Q D 1] 1Hz Clock Q1 Qo 8 0 2 Ш
Design a counter to count-up from 2 to 7 using three of D Flip Flops (3) 3-Bit Count up (3 to 5) Using D Flip-Flop: The State Equation of D Flip-Flop: Q(t+1)=D(t) => Dn=Qn Present State D Flip-Flop Next State n Q2p Q1p Q0p 3 0 1 1 1 Q2n Q1n Q0n D2 D1 D0 0 0 1 0 0 4 1 0 0 1 0 1 1 0 1 5 1 0 1 0 1 1 01 1 D2-Sum(3,4) and don't care X-Sum(0,1,2,6,7) D1=Sum(5) and don't care X=Sum(0,1,2,6,7) D0=Sum(4,5) and don't care X=Sum(0,1,2,6,7) Using K-map to simplify the functions: D2=Q1+Q0' D1=Q1'QO DO=Q1' XOX XOX Q2 10 Q2 01 Q2 1xx Q0 QO Qo D2 Q2 >CK Q2 D1 Q1 BCD CK Q1 DO QF ►CK Q0 ☐ Present State Next State D Flip-Flop n Q2p Q1p Q0p Q2n Q1n Q0n D2 D1 D0 2 0 1 0 0 1 1 0 1 1 3 0 1 1 1 0 0 1 00 4 1 0 0 1 0 1 1 0 1 5 1 0 1 1 1 0 1 1 0 6 1 1 0 0 1 0 0 1 0 D2 D2=Sum(3,4,5), X=Sum(0,1,7) D1 Q2 1 Q1 1 0 ☑ 0 Qo D2=Q0+Q1' ✗ 0 Q1 D2=Sum(3,4,5), X=Sum(0,1,7) D1=Sum(2,5,6), X=Sum(0,1,7) D0=Sum(2,4), X=Sum(0,1,7) ☐ D2 22 D1 Q2 22 ☑ QO D2=Q0+Q1' Q1 DO. 0 Q1 0 0 Q2 0 1 X 1 QO D1=Q0Q1+Q0Q1 Q1 ☑。 1 22 Q2 1 0 Design A Counter To Count-Up From 2 to 6 Using D Flip Flops Date: October 23, 2023 QO D0=QO'Q1'+Q0'Q2' D2 = Q1'+Q0 Q2 D D D D D D1 = Q1.00 + Q1.Q0 Q D D Q DOQ0'.Q2' + QO'.Q1' Q D 1] 1Hz Clock Q1 Qo 8 0 2 Ш
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Question

Transcribed Image Text:Design a counter to count-up from 2 to 7 using three of
D Flip Flops
(3) 3-Bit Count up (3 to 5) Using D Flip-Flop:
The State Equation of D Flip-Flop:
Q(t+1)=D(t) => Dn=Qn
Present State
D Flip-Flop
Next State
n
Q2p Q1p Q0p
3
0 1
1
1
Q2n Q1n Q0n D2 D1 D0
0 0 1 0 0
4
1
0
0
1
0
1
1 0
1
5
1 0
1
0
1
1
01
1
D2-Sum(3,4) and don't care X-Sum(0,1,2,6,7)
D1=Sum(5) and don't care X=Sum(0,1,2,6,7)
D0=Sum(4,5) and don't care X=Sum(0,1,2,6,7)
Using K-map to simplify the functions:
D2=Q1+Q0'
D1=Q1'QO
DO=Q1'
XOX
XOX
Q2 10
Q2 01
Q2 1xx
Q0
QO
Qo
D2 Q2
>CK
Q2
D1 Q1
BCD
CK
Q1
DO QF
►CK
Q0
☐ Present State Next State D Flip-Flop
n Q2p Q1p Q0p Q2n Q1n Q0n D2 D1 D0
2 0 1
0
0 1 1 0 1 1
3 0
1
1
1
0
0 1 00
4
1
0
0
1
0
1
1
0
1
5
1
0
1
1
1
0
1 1
0
6
1
1
0
0
1
0
0
1
0
D2
D2=Sum(3,4,5), X=Sum(0,1,7)
D1
Q2
1
Q1
1
0
☑
0
Qo
D2=Q0+Q1'
✗
0
Q1
![D2=Sum(3,4,5), X=Sum(0,1,7)
D1=Sum(2,5,6), X=Sum(0,1,7)
D0=Sum(2,4), X=Sum(0,1,7)
☐
D2
22
D1
Q2
22
☑
QO
D2=Q0+Q1'
Q1
DO.
0
Q1
0
0
Q2
0
1
X
1
QO
D1=Q0Q1+Q0Q1
Q1
☑。 1
22
Q2
1
0
Design A Counter To Count-Up From 2 to 6 Using D Flip Flops
Date: October 23, 2023
QO
D0=QO'Q1'+Q0'Q2'
D2 = Q1'+Q0
Q2
D
D
D
D
D
D1 = Q1.00 + Q1.Q0
Q
D D
Q
DOQ0'.Q2' + QO'.Q1'
Q
D 1]
1Hz
Clock
Q1
Qo
8
0
2
Ш](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9b626b3-9a8f-4352-b297-7aa40e3e30f3%2Fadc69a95-1bd9-4080-9e37-a1524bf4eaab%2Fvcsu5ci_processed.jpeg&w=3840&q=75)
Transcribed Image Text:D2=Sum(3,4,5), X=Sum(0,1,7)
D1=Sum(2,5,6), X=Sum(0,1,7)
D0=Sum(2,4), X=Sum(0,1,7)
☐
D2
22
D1
Q2
22
☑
QO
D2=Q0+Q1'
Q1
DO.
0
Q1
0
0
Q2
0
1
X
1
QO
D1=Q0Q1+Q0Q1
Q1
☑。 1
22
Q2
1
0
Design A Counter To Count-Up From 2 to 6 Using D Flip Flops
Date: October 23, 2023
QO
D0=QO'Q1'+Q0'Q2'
D2 = Q1'+Q0
Q2
D
D
D
D
D
D1 = Q1.00 + Q1.Q0
Q
D D
Q
DOQ0'.Q2' + QO'.Q1'
Q
D 1]
1Hz
Clock
Q1
Qo
8
0
2
Ш
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