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Update: 19/02/2020 CTS, BSC, SRT, TSK Page 1/15 2182212 Fundamental of Circuits and Digital Electronics Laboratory Faculty of Engineering, Chulalongkorn University Flip Flop and Counter (FFC) Ekachai Leelarasmee, 19 February 2009 Instructor: Date: Name: 1) ID 2) ID 3) ID A. Objectives 1. To understand the basic of clocked flip flops and their operations. 2. To learn how to construct counters from flip flops. B. Introduction Ever seen a system in which all actions or results are synchronized by one control signal. ? Here are a few examples 1) In a school or university, all class activities are hourly synchronized. 2) In a marching band, the drum’s beat synchronizes the march. 3) In computers, mobile phones and many consumer electronic devices today, their internal processes need a clock signal to synchronize. Note that the clock plays no part in determining what activities or results are to be made.
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Page 1: 2182212 Fundamental of Circuits and Digital Electronics ...

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2182212 Fundamental of Circuits and

Digital Electronics Laboratory

Faculty of Engineering, Chulalongkorn University

Flip Flop and Counter (FFC)

Ekachai Leelarasmee, 19 February 2009

Instructor: Date:

Name: 1) ID

2) ID

3) ID

A. Objectives

1. To understand the basic of clocked flip flops and their operations.

2. To learn how to construct counters from flip flops.

B. Introduction

Ever seen a system in which all actions or results are synchronized by one control

signal. ? Here are a few examples

1) In a school or university, all class activities are hourly synchronized.

2) In a marching band, the drum’s beat synchronizes the march.

3) In computers, mobile phones and many consumer electronic devices today, their

internal processes need a clock signal to synchronize.

Note that the clock plays no part in determining what activities or results are to be

made.

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Input Output (State)

CLR CLK J K Q (after ) Operation

1 ↓ 0 0 Q (before ) Hold

1 ↓ 0 1 0 Reset

1 ↓ 1 0 1 Set

1 ↓ 1 1 Q (before ) Toggle

1 1, 0, ↑ Don’t Care Can’t Change -

0 Don’t Care 0 Clear

CLK

J Q

K QCLR

A flip flop (FF) is the simplest digital circuit that has a clock input for

synchronizing its output. The clocked JK-FF will be studied in this lab. It has 4 inputs,

i.e. J, K, CLK (CLOCK) and CLR (CLEAR), and one output Q with Q as its

compliment. Its symbol and truth table (or state table) is as follows.

The first 4 rows indicate that the output Q can change only when the clock transits

from HIGH to LOW (indicated by ↓). Thus its response is synchronized with the clock

and depends on the JK inputs. This flip flop is called a negative (or falling) edge

triggered JK flip flop and the output value between consecutive falling edges is called its

state. However, there is one exception when the input CLR is 0, as shown in the last row

of the table, that immediately clear Q to 0 without having to wait for the clock transition,

i.e. its action is asynchronous.

The output (or timing) waveform of a flip flop is usually accompanied by its clock

waveform. For example, when a JK-FF is put in a toggle mode with J=1, K=1 and

CLR =1, its waveform is as follows.

QCLR

Timing waveform of a JK-FF in toggle mode

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Using states, we can conveniently and

concisely express its operation in the form

of a state diagram where the triggering

clock edges are represented as arrows as

shown in the right figure. In this case the

state sequences repeatedly between 0 and

1.

A sequential digital circuit is a clocked circuit that has one or more flip flops

connected together, possibly using combinational gates. Its simplest one is the counter

that has only a clock input. An example is the following two bit binary counter in which

each state consists of two outputs Q2 and Q1. Its state diagram indicates that the counter

sequences from Q2Q1 = 00, 01, 10, 11 and repeats, giving a count up output.

Q1CLR Q2CLR

Q2 Q1

It should be noted that there

are N2 possible states for a circuit

with N flip flops. However, a

counter sequence can be arbitrarily

designed and may not sequence

through all possible states. For

example, we can design a two bit

counter with either one of the

following state diagram. The left

one gives a counter with modulo 3

and the right one is a counter with

a count down output.

Q2 Q1 Q2 Q1

A more complicated form of a sequential circuit is a finite state machine (FSM)

which has additional inputs other than a clock. One example is a counter with has an

Up/Down input to change its counting sequence. A central processing unit (CPU) in a

computer is an example of a complex FSM.

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C. Materials provided in the experiment

1) Breadboard with components and wires already inserted. During each experiment,

you have to add or delete wires to form a circuit. When the lab is done, please

reconnect them back as shown below.

2) Battery interface board. It is attached to the upper left part of the breadboard as

shown above. Plug a 6V battery jack into it to supply 0 and 6Volt to the horizontal

buses on the breadboard from which red and black wires are inserted. Note that red

wires carry 6Volt while black wires carry 0Volt. They energize all ICs on the

breadboard.

3) Digital ICs labeled 7408 (AND), 7432 (OR), 7404 (NOT), 7447 (BCD-7 Segment

Decoder), 555 (Clock Generator), and 7473 (JK Flip Flop). Their internal schematics

will be described when needed.

4) LED modules. It will shine when there is a current (~1mA or more) flowing from its

Anode (A) to Cathode (K) terminals. In this lab, we always insert its cathode (K) to

0V or Ground. Thus if its anode (A) gets a voltage of higher than 4V, it will shine.

So the LED brightness can indicate if its anode is at HIGH or LOW.

5) LED7 module. It consists of 7 LED modules arranged in a 7 segments display

format. This LED7 module is inserted with all anodes connected to 6V. Hence each

segment will shine if its corresponding cathode, labeled a,b,c,d,e,f and g, gets a

voltage of lower than 1V (LOW or a digital 0).

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Experiment #1: Clock generator (555)

The 555 is a general purpose timer IC for generating a timing clock signal of varying

duration and period. We have already connected components to it on the board to make it

operate as a clock generator giving a clock signal at its OUT pin with frequency given by

the following formula

f = CRR BA )2(

44.1

With AR =10k BR = 140k ±1% and 10C F , we have frequency out = 0.498 Hz duty

cycle =51.71 %. This means that the LED will flash approximately once every two

seconds. If this does not happen, check to see if the circuit is correctly connected.

duty cycle ={RA+RB/(RA+2RB)}x100

=51.71%

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Experiment #2: JK Flip Flop (7473)

The 7473 has two JK flip flops with the pin assignment as shown in the left figure

below. Connect the clock signal from 555 IC to CLK1 (pin #1) of 7473. This corresponds

to the circuit on the right. Note that we have left its JK inputs unconnected. They will be

treated as “1” by the IC. However, the CLR1 input must be connected to 6V in order to

input a “1”. Connect an LED to Q1. Observe its brightness and complete the timing/state

diagrams below.

Q1 (state)

Now move the red wire that connects CLR1 (pin#2) from 6V to 0V. This is to input

“0” to the CLR1 input. Then move it back to 6V again. You may repeat this a few times

to be sure about what happens. Report your observation here

…………………………………………………………………………………………

………………………………………………………………………………………….

……………………………………………………………………………………………………...

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

Before going on to the next experiment, connect the red wire from CLR1 back to 6V.

CLK1

J1 Q1

K1 Q1

1

1

1

CLR1

from 555

VCCK1

GNDJ1 1Q 1Q Q2Q2

K2

J2

Q2

Q2

1QK1

1QJ1

CLR1CLK1

K2

CLR2CLK2 J2

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Experiment #3 : A two bits synchronous binary counter

VCCK1

GNDJ1 1Q 1Q Q2Q2

K2

J2

Q2

Q2

1QK1

1QJ1

CLR1C LK1

K2

CLR2C LK2 J2

Connect the circuit as shown below. You may leave J1 and K1 unconnected to input a

“1” but you have to make sure that both CLR1 and CLR2 are connected to 6V to input a

“1”. Also do not forget to input OV to C and D pins of the 7447. Connect LEDs to Q1

and Q2. Observe and fill in the timing/state-LED7 diagrams starting at state 00.

Q1CLR1 Q2CLR2

Q2 Q1

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Experiment #4 : A two bits ripple binary counter

VCCK1

GNDJ1 1Q 1Q Q2Q2

K2

J2

Q2

Q2

1QK1

1QJ1

CLR1CLK1

K2

CLR2CLK2 J2

Connect the circuit as shown below. Then insert LEDs to monitor Q1 and Q2.

Connect Q1 and Q2 to the A and B inputs of 7447 while leaving its C and D inputs at 0V.

Observe and fill in the timing/state-LED7 diagram below starting at state 00. Comparing

this experiment with the previous one reveals that there can be several realizations of the

same sequential function. However, CLK2 in this circuit is derived from Q1 which can

incur a small delay. This counter is strictly called a ripple or asynchronous counter,

although its output appears synchronized with the clock.

Q1CLR1 Q2CLR2

Q2 Q1

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Experiment #5 : A two bits synchronous counter with modulo 3 output.

VCCK1

GNDJ1 1Q 1Q Q2Q2

K2

J2

Q2

Q2

1QK1

1QJ1

CLR1CLK1

K2

CLR2CLK2 J2

Connect the circuit as shown below. Then insert LEDs to monitor Q1 and Q2.

Connect Q1 and Q2 to the A and B inputs of 7447 while leaving its C and D inputs at 0V.

Observe and fill in the timing/state-LED7 diagrams starting at state 00.

Q1CLR1 Q2CLR2

Q2 Q1

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Experiment #6 : A 4 bit ripple binary counter.

VCCK1

GNDJ1 1Q 1Q Q2Q2

K2

J2

Q2

Q2

1QK1

1QJ1

CLR1C LK1

K2

CLR2C LK2 J2

Construct the circuit below. Insert LEDs to monitor Q1, Q2, Q3 and Q4. Then

connect Q1, Q2, Q3 and Q4 to the A,B,C and D inputs of 7447. Note that you have to

remove the 0V connection at C and D inputs first. Observe and fill in the timing/state-

LED7 diagrams starting at state 00.

Q1CLR1 Q2CLR2 Q3 Q4CLR3 CLR4

0 0 0 0

Q4 Q3 Q2 Q1

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Experiment #7 : Converting a 4 bit ripple binary counter into a decimal counter.

CCVCCV

Modify the circuit in the previous experiment by reconnecting the CLR inputs as

shown below while leaving all connections to LEDs and 7447 intacted. Note that the

AND gate must get its inputs from Q4 and Q2. Observe and fill in the timing/state-LED7

diagrams starting at state 00. You may have to bypass some blank states if necessary.

Q1CLR1 Q2CLR2 CLR3 CLR4Q3 Q4

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Remark: This experiment modifies an existing counter by exploiting its asynchronous

clear inputs. Its clear action is activated at 1010 state, causing the state to immediately

go to 0000. Thus the 1010 state becomes temporary or transient. Such a transient state

lasts only a few nanoseconds and is therefore un-noticed.

Problems

Problem #1: Give your own example about a system with a synchronizing signal

………………………………………………………………………………………………

……………………………………………………………………………………

………………………………………………………………………………………………

……………………………………………………………………………………

………………………………………………………………………………………………

……………………………………………………………………………………

Problem #2: For an 8 bits binary counter

a) How many flip flops does it use? ........................................

b) How many states does it have? ……………………………..

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Problem #3: Fill in the timing/state diagrams of the following counter starting at state

0000. You may have to bypass some blank states in the diagram.

Q1CLR1 Q2CLR2 Q3 Q4CLR3 CLR4

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Problem #4: Fill in the timing/state diagrams of the following counter starting at state

0000. You may have to bypass some blank states in the diagram.

Q1 Q2 Q3 Q4CLR1 CLR2 CLR3 CLR4

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Discussion (if you have any)


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