SlideShare a Scribd company logo
COUNTERS
SYNCHRONOUS & ASYNCHRONOUS
Presentation by:
C.MURALIDHARAN
V.A.SAIRAM
A.SUBHA SHREE
COUNTER
• The Counter is an electronic circuit that counts the events. The
events can be numbers.
• It can also count the event related to the clock like rising
edge(low to high) and trailing edge(high to low)
• It is a type of sequential logic circuit i.e. The present output
depends on the present input and the combination of previous
input)
• Counter can be designed using t-flipflop(which is a special case
of JK flipflop).
TYPES OF COUNTERS
• Broadly counters can be classified into two types based on the modes
of operation.
• Synchronous
• Asynchronous
• In Synchronous mode, all the flip-flops receive input at the same
time and produce output at the same time. Synchronous counters are
counters that use the clock signal at the same time.
• In Asynchronous mode, the clock is given only to the first flip flop
and each flipflop produces output one at a time. The input for the
successive flip-flops depends on the previous ones. These counters
are also called “RIPPLE COUNTERS”.
• These counters can again be categorized as UP and DOWN counters.
WHY SYNCHRONOUS COUNTERS?
• The major drawback in asynchronous counters is that they are
limited to high frequencies due to the propagation delay.
• Synchronous counters can be operated at higher frequencies.
• Synchronous counters are faster in operation.
• Easy to design.
• No delay in synchronous counters.
TABLE OF CONTENTS
• MOD 4 Asynchronous
• MOD 4 Synchronous
• MOD 7 Asynchronous
• Specialized IC for Counters
• MOD 8 Asynchronous
• MOD 8 Synchronous
• MOD 16 Asynchronous
• MOD 16 Synchronous
• Applications of Counter
MOD 4 ASYNCHRONOUS
• MOD (fully known as modulus) is
nothing but the number of output
states of the counter.
• MOD 4 will have 4 output states
produced in asynchronous manner.
• Now, the number of flip flops(i.e. n)
is based on the given formula:
• 2𝑛 = MOD
• Here we already know that the
output state is 4. So 2𝑛
=4 implies
n=2.
• 2 flip flops are used to produce the
4 counts in MOD 4 asynchronous
counter.
• 4 output states are nothing but
O/P-1(01) O/P-
2(10)
These are some of the outputs of MOD 4 asynchronous counters. Q0 is LSB(Least
Significant Bit) and
Q1 is MSB (Most Significant Bit).
 The first figure represents output 1 with Q1=0 & Q0=1 i.e. 01(Binary for 1)
 The second figure represents output 2 with Q1=1 & Q0=0 i.e. 10(Binary for
2) O/P-output
MOD 4 SYNCHRONOUS
• This is MOD 4 synchronous counter
where the count happens in two ways as
follows: ascending (UP) or in descending
manner (DOWN).
• These counters are easier than
asynchronous counters.
• Like the previous one,2 flip flops are
needed to produce the 4 output states.
The difference is that in synchronous
counters, the output changes
simultaneously due to the common
clock pulse and the count is done
sequentially in synchronous counter.
• Here the counter counts from 0 to 3 (00
O/P-2(10) O/P-3(11)
Here are some of the outputs of the MOD 4 synchronous counter with the same
Q0 as LSB and Q1 as MSB
 The first figure represents output 2(10 in binary)
 The second figure represents output 3(11 in binary)
MOD 7 ASYNCHRONOUS
• From the title, we came to know that
the output state is 7.
• We know to calculate the number of
flip flops from the formula =output
state (7)
• Here 7 is not a multiple of 2, hence we
may get confused about how to choose
the number of flip flops when the
output state is not equal to 2𝑛
• In that case we choose a number which is a
multiple of 2, greater and nearer to 7. the
number that satisfies all the above
conditions is 8(23
). Hence, we conclude that
we should choose the least possible number
of flip-flops.
• It is not fully sequenced. These types
of counters are called truncated
counters.
• All the outputs of the flipflop are
2𝑛
• Here we consider MOD 7 as an example.
• After count 6, it automatically tries to go to count 7 (111 in binary) which is not
required here.
• In that case the value 1 of all the flip-flops moves to the NAND gate.
• So the output is 0 which is again sent to the clear pins of the respective flip
flops that use a NAND gate to reset to the required count between 0 to 5.
• A Clear pin is a special pin present in T flip-flop (special of JK flip-flop). Once it
is activated it resets the flip flop(0) irrespective of a past condition. The clear pin
is activated by a logic low (0) signal. In this case, all the flip flop gets reset and
the value goes to 0. Hence MOD 7 is achieved.
• This gave the way for the IC 74293 that is embedded with 4 flip flops and a
NAND gate.
• NAND gate is mainly used to detect the output 1 which is generated by the flip-
flops.
WORKING OF THE TRUNCATED COUNTERS
O/P-4 O/P-5
 The output 4(100 in binary) and output 5(101 in binary) of MOD 7
asynchronous counter is represented here.
MOD 8 ASYNCHRONOUS
• MOD 8 Asynchronous counter can
be designed using 3 flip-flops.
• It is a fully sequenced counter.
• 2𝑛
=8 implies n=3
• It counts from 000 to 111 i.e. 0 to
7
O/P-2 O/P-6
LSB is Q0 and MSB is Q2
 The first figure represents output 2(010 in binary)
 The second figure represents output 6(110 in
binary)
MOD 8 SYNCHRONOUS
• MOD 8 synchronous counter is
designed using 3 flip flops.
• It is also a fully sequenced counter
which counts in a sequential
manner from 0 to 7 or 7 to 0.
• The second flipflop gets its input
from the output of first flipflop
(Q1), the third flipflop gets its
input from the outputs of the first
and second flipflop through a AND
gate.
O/P-5 O/P-7
 The output 5(101 in binary) and output 7(111 in binary) of MOD 8 synchronous
counter is given here.
MOD 16 ASYNCHRONOUS
• MOD 16 asynchronous counter is
designed using 4 flip-flops as per the
formula.
• It counts from 0000 to 1111 i.e. 0 to F(in
hexadecimal)
• The outputs of all the four flip-flops are
connected to a four-pin NAND gate
• Its output is sent to the clear pins of all
the flip-flops.
• The counter has to reset back to 0(0000)
after counting 15(1111).
• In the case of 15, the NAND gate receives
1 in all inputs, it produces an output of 0.
• This logic 0 activates the clear pin of all
flipflops resetting them to count 0.
O/P-13 O/P-14
Here Q1 is LSB and Q4 is MSB
 The first picture represents output 13 (decimal value) i.e.1101 in binary. It
is converted into hexadecimal value as ‘d’ and displayed.
 Similarly the next output 14 i.e. 1110 in binary is displayed as ‘E’
(Hexadecimal value).
MOD 16 SYNCHRONOUS
• MOD 16 synchronous counter can be
constructed using 4 flipflops.
• It can do either up count operation
(0-15) or down count operation (15-
0).
• The second flipflop gets its input
from the output of first flipflop (Q1),
the third flipflop gets its input from
the outputs of the first and second
flipflop through a AND gate.
• The fourth flipflop receives its input
from the output of first, second and
third flipflops.
• A trick is to use the output of the
previous flipflop along with the
output of the previously connected
AND gate.
O/P 12 O/P 14
Here again, Q0 is LSB and Q3 is MSB
 The first figure represents output 12 i.e.1100 in binary (“C” in
hexadecimal)
 The second one represents output 14 i.e.1110 in binary (“E” in
hexadecimal)
UP-DOWN COUNTERS
• As the name suggests it counts in both
ways i.e. from low to high and also from
high to low.
• So these are also called bidirectional
counters.
• They are built using JK flip-flops.
• Here it is a 4 bit UP-DOWN counter.
• It counts from 0 to F on one side and F
to 0 on the other side.
• These are self reversing and used in
clock divider circuits.
COUNTS FOR UP-DOWN COUNTER
 Some of the output counts
of the UP-DOWN counter
APPLICATIONS OF COUNTERS
• Frequency counters
• Digital clocks
• Analog to digital converter
• Calculators etc.,
1) C.MURALIDHARAN
Assistant Professor, Biomedical Engineering, Rajalakshmi
Engineering College
2) A.SUBHA SHREE
Student, Biomedical Engineering, Rajalakshmi Engineering
College
3) V.A.SAIRAM
Student, Biomedical Engineering, Rajalakshmi Engineering
College
REFERENCES:
• https://www.electronics-tutorials.ws/counter/count_3.html
• https://www.electronicshub.org/synchronous-counter/
• https://www.electronicshub.org/asynchronous-counter/
THANK YOU

More Related Content

What's hot

Synchronous counters
Synchronous countersSynchronous counters
Synchronous counters
Lee Diaz
 

What's hot (20)

Synchronous counters
Synchronous countersSynchronous counters
Synchronous counters
 
Ece221 Ch7 Part1
Ece221 Ch7 Part1Ece221 Ch7 Part1
Ece221 Ch7 Part1
 
Trts d flip flop1
Trts d flip flop1Trts d flip flop1
Trts d flip flop1
 
Basics Counters
Basics Counters Basics Counters
Basics Counters
 
Synchronous Counter
Synchronous Counter Synchronous Counter
Synchronous Counter
 
Ring counter
Ring counterRing counter
Ring counter
 
Dee2034 chapter 5 counter
Dee2034 chapter 5 counterDee2034 chapter 5 counter
Dee2034 chapter 5 counter
 
DELD Unit IV ring and twisted ring counter
DELD Unit IV ring and twisted ring counterDELD Unit IV ring and twisted ring counter
DELD Unit IV ring and twisted ring counter
 
Counters
CountersCounters
Counters
 
Flip flop
Flip flopFlip flop
Flip flop
 
Ripple counter
Ripple counterRipple counter
Ripple counter
 
SEQUENTIAL CIRCUITS [FLIP FLOPS AND LATCHES]
SEQUENTIAL CIRCUITS [FLIP FLOPS AND LATCHES]SEQUENTIAL CIRCUITS [FLIP FLOPS AND LATCHES]
SEQUENTIAL CIRCUITS [FLIP FLOPS AND LATCHES]
 
Sequential circuits in Digital Electronics
Sequential circuits in Digital ElectronicsSequential circuits in Digital Electronics
Sequential circuits in Digital Electronics
 
Divide by N clock
Divide by N clockDivide by N clock
Divide by N clock
 
Sequential circuits
Sequential circuitsSequential circuits
Sequential circuits
 
Chapter 6: Sequential Logic
Chapter 6: Sequential LogicChapter 6: Sequential Logic
Chapter 6: Sequential Logic
 
Computer system architecture 16 counters
Computer system architecture 16 countersComputer system architecture 16 counters
Computer system architecture 16 counters
 
Counters
CountersCounters
Counters
 
Sequential logics
Sequential logicsSequential logics
Sequential logics
 
Latches and flip flop
Latches and flip flopLatches and flip flop
Latches and flip flop
 

Similar to COUNTERS [Synchronous and Asynchronous]

Similar to COUNTERS [Synchronous and Asynchronous] (20)

counters and resister presentations.pptx
counters and resister presentations.pptxcounters and resister presentations.pptx
counters and resister presentations.pptx
 
Chapter 7_Counters (EEEg4302).pdf
Chapter 7_Counters (EEEg4302).pdfChapter 7_Counters (EEEg4302).pdf
Chapter 7_Counters (EEEg4302).pdf
 
Digital Counter Design
 Digital Counter Design Digital Counter Design
Digital Counter Design
 
Digital Electronics Unit_4_new.pptx
Digital Electronics Unit_4_new.pptxDigital Electronics Unit_4_new.pptx
Digital Electronics Unit_4_new.pptx
 
COUNTERS.pptx
COUNTERS.pptxCOUNTERS.pptx
COUNTERS.pptx
 
Counters_pptx.pptx
Counters_pptx.pptxCounters_pptx.pptx
Counters_pptx.pptx
 
counters and registers
counters and registerscounters and registers
counters and registers
 
counters_and_registers_5 lecture fifth.ppt
counters_and_registers_5 lecture fifth.pptcounters_and_registers_5 lecture fifth.ppt
counters_and_registers_5 lecture fifth.ppt
 
Unit4_DE.pptx
Unit4_DE.pptxUnit4_DE.pptx
Unit4_DE.pptx
 
Presentation on Counters for (Digital Systems Design).pptx
Presentation on Counters for (Digital Systems Design).pptxPresentation on Counters for (Digital Systems Design).pptx
Presentation on Counters for (Digital Systems Design).pptx
 
counters.ppt
counters.pptcounters.ppt
counters.ppt
 
unit 5.pptx
unit 5.pptxunit 5.pptx
unit 5.pptx
 
DLD4.pdf
DLD4.pdfDLD4.pdf
DLD4.pdf
 
EET107_Chapter 3_SLD(part2.1)-edit1.ppt
EET107_Chapter 3_SLD(part2.1)-edit1.pptEET107_Chapter 3_SLD(part2.1)-edit1.ppt
EET107_Chapter 3_SLD(part2.1)-edit1.ppt
 
FYBSC IT Digital Electronics Unit V Chapter I Counters
FYBSC IT Digital Electronics Unit V Chapter I CountersFYBSC IT Digital Electronics Unit V Chapter I Counters
FYBSC IT Digital Electronics Unit V Chapter I Counters
 
CSL 202, Counters using Flipflops
CSL 202, Counters using FlipflopsCSL 202, Counters using Flipflops
CSL 202, Counters using Flipflops
 
QC-UNIT 2.ppt
QC-UNIT 2.pptQC-UNIT 2.ppt
QC-UNIT 2.ppt
 
digital Counter
digital Counterdigital Counter
digital Counter
 
Counters r012
Counters  r012Counters  r012
Counters r012
 
Digital clock (mod counters)using DSCH (DIGITAL SCHEMATIC) by Gaurav Raikar
Digital clock (mod counters)using DSCH (DIGITAL SCHEMATIC) by Gaurav RaikarDigital clock (mod counters)using DSCH (DIGITAL SCHEMATIC) by Gaurav Raikar
Digital clock (mod counters)using DSCH (DIGITAL SCHEMATIC) by Gaurav Raikar
 

Recently uploaded

Additional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdfAdditional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdf
joachimlavalley1
 

Recently uploaded (20)

INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdf
INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdfINU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdf
INU_CAPSTONEDESIGN_비밀번호486_업로드용 발표자료.pdf
 
Ethnobotany and Ethnopharmacology ......
Ethnobotany and Ethnopharmacology ......Ethnobotany and Ethnopharmacology ......
Ethnobotany and Ethnopharmacology ......
 
slides CapTechTalks Webinar May 2024 Alexander Perry.pptx
slides CapTechTalks Webinar May 2024 Alexander Perry.pptxslides CapTechTalks Webinar May 2024 Alexander Perry.pptx
slides CapTechTalks Webinar May 2024 Alexander Perry.pptx
 
Salient features of Environment protection Act 1986.pptx
Salient features of Environment protection Act 1986.pptxSalient features of Environment protection Act 1986.pptx
Salient features of Environment protection Act 1986.pptx
 
Gyanartha SciBizTech Quiz slideshare.pptx
Gyanartha SciBizTech Quiz slideshare.pptxGyanartha SciBizTech Quiz slideshare.pptx
Gyanartha SciBizTech Quiz slideshare.pptx
 
Home assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdfHome assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdf
 
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdfDanh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
Danh sách HSG Bộ môn cấp trường - Cấp THPT.pdf
 
NLC-2024-Orientation-for-RO-SDO (1).pptx
NLC-2024-Orientation-for-RO-SDO (1).pptxNLC-2024-Orientation-for-RO-SDO (1).pptx
NLC-2024-Orientation-for-RO-SDO (1).pptx
 
Palestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptxPalestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptx
 
The Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve ThomasonThe Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve Thomason
 
How to Create Map Views in the Odoo 17 ERP
How to Create Map Views in the Odoo 17 ERPHow to Create Map Views in the Odoo 17 ERP
How to Create Map Views in the Odoo 17 ERP
 
Introduction to Quality Improvement Essentials
Introduction to Quality Improvement EssentialsIntroduction to Quality Improvement Essentials
Introduction to Quality Improvement Essentials
 
Benefits and Challenges of Using Open Educational Resources
Benefits and Challenges of Using Open Educational ResourcesBenefits and Challenges of Using Open Educational Resources
Benefits and Challenges of Using Open Educational Resources
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
 
Additional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdfAdditional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdf
 
Forest and Wildlife Resources Class 10 Free Study Material PDF
Forest and Wildlife Resources Class 10 Free Study Material PDFForest and Wildlife Resources Class 10 Free Study Material PDF
Forest and Wildlife Resources Class 10 Free Study Material PDF
 
Basic_QTL_Marker-assisted_Selection_Sourabh.ppt
Basic_QTL_Marker-assisted_Selection_Sourabh.pptBasic_QTL_Marker-assisted_Selection_Sourabh.ppt
Basic_QTL_Marker-assisted_Selection_Sourabh.ppt
 
How to Split Bills in the Odoo 17 POS Module
How to Split Bills in the Odoo 17 POS ModuleHow to Split Bills in the Odoo 17 POS Module
How to Split Bills in the Odoo 17 POS Module
 
Application of Matrices in real life. Presentation on application of matrices
Application of Matrices in real life. Presentation on application of matricesApplication of Matrices in real life. Presentation on application of matrices
Application of Matrices in real life. Presentation on application of matrices
 
[GDSC YCCE] Build with AI Online Presentation
[GDSC YCCE] Build with AI Online Presentation[GDSC YCCE] Build with AI Online Presentation
[GDSC YCCE] Build with AI Online Presentation
 

COUNTERS [Synchronous and Asynchronous]

  • 1. COUNTERS SYNCHRONOUS & ASYNCHRONOUS Presentation by: C.MURALIDHARAN V.A.SAIRAM A.SUBHA SHREE
  • 2. COUNTER • The Counter is an electronic circuit that counts the events. The events can be numbers. • It can also count the event related to the clock like rising edge(low to high) and trailing edge(high to low) • It is a type of sequential logic circuit i.e. The present output depends on the present input and the combination of previous input) • Counter can be designed using t-flipflop(which is a special case of JK flipflop).
  • 3. TYPES OF COUNTERS • Broadly counters can be classified into two types based on the modes of operation. • Synchronous • Asynchronous • In Synchronous mode, all the flip-flops receive input at the same time and produce output at the same time. Synchronous counters are counters that use the clock signal at the same time. • In Asynchronous mode, the clock is given only to the first flip flop and each flipflop produces output one at a time. The input for the successive flip-flops depends on the previous ones. These counters are also called “RIPPLE COUNTERS”. • These counters can again be categorized as UP and DOWN counters.
  • 4. WHY SYNCHRONOUS COUNTERS? • The major drawback in asynchronous counters is that they are limited to high frequencies due to the propagation delay. • Synchronous counters can be operated at higher frequencies. • Synchronous counters are faster in operation. • Easy to design. • No delay in synchronous counters.
  • 5. TABLE OF CONTENTS • MOD 4 Asynchronous • MOD 4 Synchronous • MOD 7 Asynchronous • Specialized IC for Counters • MOD 8 Asynchronous • MOD 8 Synchronous • MOD 16 Asynchronous • MOD 16 Synchronous • Applications of Counter
  • 6. MOD 4 ASYNCHRONOUS • MOD (fully known as modulus) is nothing but the number of output states of the counter. • MOD 4 will have 4 output states produced in asynchronous manner. • Now, the number of flip flops(i.e. n) is based on the given formula: • 2𝑛 = MOD • Here we already know that the output state is 4. So 2𝑛 =4 implies n=2. • 2 flip flops are used to produce the 4 counts in MOD 4 asynchronous counter. • 4 output states are nothing but
  • 7. O/P-1(01) O/P- 2(10) These are some of the outputs of MOD 4 asynchronous counters. Q0 is LSB(Least Significant Bit) and Q1 is MSB (Most Significant Bit).  The first figure represents output 1 with Q1=0 & Q0=1 i.e. 01(Binary for 1)  The second figure represents output 2 with Q1=1 & Q0=0 i.e. 10(Binary for 2) O/P-output
  • 8. MOD 4 SYNCHRONOUS • This is MOD 4 synchronous counter where the count happens in two ways as follows: ascending (UP) or in descending manner (DOWN). • These counters are easier than asynchronous counters. • Like the previous one,2 flip flops are needed to produce the 4 output states. The difference is that in synchronous counters, the output changes simultaneously due to the common clock pulse and the count is done sequentially in synchronous counter. • Here the counter counts from 0 to 3 (00
  • 9. O/P-2(10) O/P-3(11) Here are some of the outputs of the MOD 4 synchronous counter with the same Q0 as LSB and Q1 as MSB  The first figure represents output 2(10 in binary)  The second figure represents output 3(11 in binary)
  • 10. MOD 7 ASYNCHRONOUS • From the title, we came to know that the output state is 7. • We know to calculate the number of flip flops from the formula =output state (7) • Here 7 is not a multiple of 2, hence we may get confused about how to choose the number of flip flops when the output state is not equal to 2𝑛 • In that case we choose a number which is a multiple of 2, greater and nearer to 7. the number that satisfies all the above conditions is 8(23 ). Hence, we conclude that we should choose the least possible number of flip-flops. • It is not fully sequenced. These types of counters are called truncated counters. • All the outputs of the flipflop are 2𝑛
  • 11. • Here we consider MOD 7 as an example. • After count 6, it automatically tries to go to count 7 (111 in binary) which is not required here. • In that case the value 1 of all the flip-flops moves to the NAND gate. • So the output is 0 which is again sent to the clear pins of the respective flip flops that use a NAND gate to reset to the required count between 0 to 5. • A Clear pin is a special pin present in T flip-flop (special of JK flip-flop). Once it is activated it resets the flip flop(0) irrespective of a past condition. The clear pin is activated by a logic low (0) signal. In this case, all the flip flop gets reset and the value goes to 0. Hence MOD 7 is achieved. • This gave the way for the IC 74293 that is embedded with 4 flip flops and a NAND gate. • NAND gate is mainly used to detect the output 1 which is generated by the flip- flops. WORKING OF THE TRUNCATED COUNTERS
  • 12. O/P-4 O/P-5  The output 4(100 in binary) and output 5(101 in binary) of MOD 7 asynchronous counter is represented here.
  • 13. MOD 8 ASYNCHRONOUS • MOD 8 Asynchronous counter can be designed using 3 flip-flops. • It is a fully sequenced counter. • 2𝑛 =8 implies n=3 • It counts from 000 to 111 i.e. 0 to 7
  • 14. O/P-2 O/P-6 LSB is Q0 and MSB is Q2  The first figure represents output 2(010 in binary)  The second figure represents output 6(110 in binary)
  • 15. MOD 8 SYNCHRONOUS • MOD 8 synchronous counter is designed using 3 flip flops. • It is also a fully sequenced counter which counts in a sequential manner from 0 to 7 or 7 to 0. • The second flipflop gets its input from the output of first flipflop (Q1), the third flipflop gets its input from the outputs of the first and second flipflop through a AND gate.
  • 16. O/P-5 O/P-7  The output 5(101 in binary) and output 7(111 in binary) of MOD 8 synchronous counter is given here.
  • 17. MOD 16 ASYNCHRONOUS • MOD 16 asynchronous counter is designed using 4 flip-flops as per the formula. • It counts from 0000 to 1111 i.e. 0 to F(in hexadecimal) • The outputs of all the four flip-flops are connected to a four-pin NAND gate • Its output is sent to the clear pins of all the flip-flops. • The counter has to reset back to 0(0000) after counting 15(1111). • In the case of 15, the NAND gate receives 1 in all inputs, it produces an output of 0. • This logic 0 activates the clear pin of all flipflops resetting them to count 0.
  • 18. O/P-13 O/P-14 Here Q1 is LSB and Q4 is MSB  The first picture represents output 13 (decimal value) i.e.1101 in binary. It is converted into hexadecimal value as ‘d’ and displayed.  Similarly the next output 14 i.e. 1110 in binary is displayed as ‘E’ (Hexadecimal value).
  • 19. MOD 16 SYNCHRONOUS • MOD 16 synchronous counter can be constructed using 4 flipflops. • It can do either up count operation (0-15) or down count operation (15- 0). • The second flipflop gets its input from the output of first flipflop (Q1), the third flipflop gets its input from the outputs of the first and second flipflop through a AND gate. • The fourth flipflop receives its input from the output of first, second and third flipflops. • A trick is to use the output of the previous flipflop along with the output of the previously connected AND gate.
  • 20. O/P 12 O/P 14 Here again, Q0 is LSB and Q3 is MSB  The first figure represents output 12 i.e.1100 in binary (“C” in hexadecimal)  The second one represents output 14 i.e.1110 in binary (“E” in hexadecimal)
  • 21. UP-DOWN COUNTERS • As the name suggests it counts in both ways i.e. from low to high and also from high to low. • So these are also called bidirectional counters. • They are built using JK flip-flops. • Here it is a 4 bit UP-DOWN counter. • It counts from 0 to F on one side and F to 0 on the other side. • These are self reversing and used in clock divider circuits.
  • 22. COUNTS FOR UP-DOWN COUNTER  Some of the output counts of the UP-DOWN counter
  • 23. APPLICATIONS OF COUNTERS • Frequency counters • Digital clocks • Analog to digital converter • Calculators etc.,
  • 24. 1) C.MURALIDHARAN Assistant Professor, Biomedical Engineering, Rajalakshmi Engineering College 2) A.SUBHA SHREE Student, Biomedical Engineering, Rajalakshmi Engineering College 3) V.A.SAIRAM Student, Biomedical Engineering, Rajalakshmi Engineering College