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CHAPTER 9:

ASYNCHRONOUS COUNTERS

D.Wilcher

2D.Wilcher

CHAPTER 9:

OBJECTIVES

•Describe the difference between Asynchronous and Synchronous counters.

•Analyze counter circuits and diagrams.

•Explain how propagation delay affect the operation of counter.

•Determine the modulus of a given counter

•Modify the modulus of a counter.

•Discriminate the difference between a 4 Bit Binary and Decade counter.

3

CHAPTER 9:

OBJECTIVES continue

•Design a counter that will have any specified sequence of states.

•Explain the operation of cascaded counters.

•Use logic gates to decode counters.

•Eliminate glitches in a counter circuit.

•Explain how a digital clock operates.

•Troubleshoot counter circuits

•Use counters in specified applications.

D.Wilcher

4

CHAPTER 9:

Digital ICs used in this chapter discussion

•74LS93A (4 Bit Asynchronous Binary Counter)

•74LS160 (Synchronous BCD Decade Counter w/Asynchronous Clear)

•74HC161 (4Bit Synchronous Binary Counter w/Asynchronous Clear)

•74HC163 (Synchronous 4 Bit Binary Counter w/Synchronous Clear)

•74HC190 (Synchronous [BCD] Decade Up/Down Counter)

•74LS47 (Dual D Flip-Flop)D.Wilcher

5

2-Bit Asynchronous Counter

•The clock input of an asynchronous counter is always connected only to the LSB (Least Significant Bit) flip-flops.

•Asynchronous Counter is a digital circuit in which flip-flops (FF) within the counter do not change states at exactly the same time because they do not have a common clock pulse.

•Clock signal is applied to the clock input “C” of LSB flip-flop.

•Asynchronous counters are also known as ripple counters

6

Figure 9--1 A 2-bit asynchronous binary counter. Open file F09-01 to verify operation.

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

7

ASYNCHRONOUS – Events that do not have fixed time relationship with each other and generally, do not occur at the same time.

D.Wilcher

8

Timing Diagram for a 2-Bit Asynchronous Counter

•By applying 4 clock pulses to FF0 and observing “Q” output of each FF, the changes in the state of the digital IC output response can be validated.

•Positive going edges of the CLK causes the QO

outputs to toggle, i.e, Hi to Lo.

•The Timing Diagram is a graphical tool for observing the input CLK events and the FF’scorresponding output (states) responses.

D.Wilcher

9

Figure 9--2 Timing diagram for the counter of Figure 9-1. As in previous chapters, output waveforms are shown in green.

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

10

3-Bit Asynchronous Counter

D.Wilcher

•Operation is the same as that of a 2-Bit Counter.

•The counter has 8 states instead of 4.

•An additional FF is wired to the dual FFs of a 2-Bit Counter.

•Just like a 2 Bit Counter a Timing Diagram is used to analyze the counting sequence of the digital circuit.

11

Figure 9--3 Three-bit asynchronous binary counter and its timing diagram for one cycle. Open file F09-03 to verify operation.

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

12

Propagation Delay

•Due to the “rippling” effect of toggling sequential FFs, there is a small delay associated with this trggering event.

•The rippling effect is due to the input clock pulse triggering the first FF and then each additional FF triggering it’s adjacent neighbor.

•Therefore, the switching of each FF is not instananeous.

•This propagation delay is a disadvantage to using Asynchronous Binary Counters

D.Wilcher

13

Figure 9--4 Propagation delays in a 3-bit asynchronous (ripple-clocked) binary counter.

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

14

PROPAGATION DELAY – The time required for a logic-level change to be transmitted through one or more digital elements.

D.Wilcher

15

4-Bit Asynchronous Counter

•Operation is the same as that of a 2 & 3-Bit Counters.

•The counter has 16 states instead of 4 & 8.

•An additional FF is wired to the dual FFs of a 3-Bit Counter.

•Just like a 2 & 3 Bit Asynchronous Counters a Timing Diagram is used to analyze the counting sequence of the digital circuit.

D.Wilcher

16

Figure 9--5 Four-bit asynchronous binary counter and its timing diagram. Open file F09-05 and verify the operation.

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

17

Calculating Total Propagation Delay (tp(tot))

To calculate the tp(tot) of an Asynchronous Binary Counter multiply the number FFs by the Propagation Delay (PD) of one digital device.

EQ1) tp(tot) = nFF x PD

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Calculating The Maximum Clock Frequency

To calculate the maximum clock frequency (fmax) of digital counter.

EQ2) fmax = 1/tp(tot)

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19

Determining the Number of States for an Asynchronous Binary Counter

To calculate number of states or count value for an Asynchronous Binary Counter:

EQ3)#States = 2n

“n” is the number of FFs

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CALCULATOR TRY OUT!!! TO SEE HOW THESE EQUATIONS WORK DO EXAMPLE/SOLUTION

EXERCISE ON PAGE 463 IN TEXTBOOK!

ALSO CALCULATE THE #STATES FOR THE BINARY COUNTER.

Calculating tp(tot) and fmax a 4-Bit Binary Counter

D.Wilcher

21

Asynchronous Decade Counters

•An Asynchronous Decade Counter has an unique number states.

•The “modulus” is another way of describing an Asynchronous Decade Counter’s unique number of states.

•Counters can be designed to have a number of states in their counting sequence that is less than the maximum of 2n.

•The resulting sequence is called a “truncated”sequence.

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Asynchronous Decade Counters continued

•One common modulus for counters with truncated sequences is ten (called MOD 10).

•Counters with ten states in their sequence are called decade counters.

•The count sequence of zero (0000) through nine (1001) is a BCD (Binary Coded Decimal) decade counter.

This counter is useful in display applications in which BCD is required for conversion to a decimal readout.

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23

Partial Decoding Technique

•By wiring a NAND gate to Q1 and Q3 partial decoding is accomplished.

•Resets the counter to zero (0000) when the 10th

clock pulse is reached.

•Other counting sequences can be achieved using the Partial Decoding Technique.

D.Wilcher

24

Figure 9--6 An asynchronously clocked decade counter with asynchronous recycling.

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

25

A 4Bit Asynchronous Binary Counter Example

The 74LS93A Digital IC

•An Application Specific Integrated Circuit (ASIC) dedicated for 4 Bit Asynchronous Binary Counting.

•It has 4 internal JK FFs.

•A 2 Input NAND Gate for clearing all FFs.

•The 2 Input NAND Gate can be wired to the Q1

and Q3 to form a Modulus 12 counter.

D.Wilcher

26

Figure 9--8 The 74LS93A 4-bit asynchronous binary counter logic diagram. (Pin numbers are in parentheses, and all J and K inputs are

internally connected HIGH.)

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

27

Figure 9--7 Asynchronously clocked modulus-12 counter with asynchronous recycling.

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

28

Figure 9--9 Two configurations of the 74LS93A asynchronous counter. (The qualifying label, CTR DIV n, indicates a counter with n

states.)

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.

29

Figure 9--10 74LS93A connected as a modulus-12 counter.

Thomas L. Floyd

Digital Fundamentals, 8eCopyright ©2003 by Pearson Education, Inc.

Upper Saddle River, New Jersey 07458

All rights reserved.