Introduction to Digital System Laboratory

Practical Work Modules

Digital Laboratory

Department of Electrical Engineering

Faculty of Engineering

Universitas Indonesia

2013

Table of Contents

Module 1: Basic Combinational Logic ........................................... 4

Module 2: Combinational Circuit ................................................... 7

Module 3: Arithmetic Functions ..................................................... 11

Module 4: Flip-flop ........................................................................... 19

Module 5: Counter ........................................................................... 26

Compiled, edited and translated by:

Prima Dewi Purnamasari

M. Anugerah Gunawan

Boma Anantasatya Adhi 2013

Module 1:

Basic Combinational Logic

1| OVERVIEW Objectives

a. Validating Boolean algebra equation with logic circuits. b. Validating K-map as a tool for simplifying complex Boolean algebra equation.

2| THEORY AND SIGNIFICANCE Boolean algebra and Logic Gates

In designing a combinational logic circuit, one should understand how to simplify a logic equation. This becomes necessary since logic equation is hardly ever found in its simplest form. Therefore, a method to simplify such equation is required. There are 2 commonly used methods to simplify a logic equation: Boolean algebra and Karnaugh Map (K-map). Basic principles of Boolean algebra:

1. A 0 = 0

2. A 1 = A

3. A A = A

4. A A = 0

5. A + 0 = A

6. A + 1 = 1

7. A + A = A

8. A + A = 1

9. (A) = A

10. A B = B A

11. A + B = B + A

12. (A B) C = A (B C)

13. (A + B) + C = A + (B + C)

14. A (B + C) = (A B) + (A C)

15. A + B C = A + B A + C

16. A + A B = A

17. A + A B = A + B

18. (A + B) = AB

19. (AB) = A + B

*explanation about K-map can be found in appendix

3| Procedures Equipments: a. Boolean Algebra and Logic Gates

i. Power Supply PS-445

ii. Advance Logic Trainer LT345 MK2 b. K-Map

i. Power Supply PS-445 ii. Advance Logic Trainer LT345 MK2

Experiment Procedure: a. Boolean Algebra and Logic Gates

i. Connect 5V line and Gnd line provided by the power supply with logic tutor LT345 Mk2 module.

ii. Built several circuits to prove some basic principles of Boolean algebra. iii. Generate a truth table from the result.

b. K-Map i. Connect 5V line and Gnd line provided by the power supply with logic tutor LT345

Mk2 module. ii. Built several circuits as noted by lab assistant.

iii. Generate a truth table from the experiment result. iv. Simplify the circuit using K-map and validate the result. v. Generate a truth table from the K-map result.

4| Potential Hazards Risk of electric shock due to high voltage appears on power supply.

5| Questions and Problems Draw the circuit of each experiment! Make an analysis for each experiment! Explain the result of the circuit done in the experiment! Explain the comparison between the process using Kmap and using boolean algebra!

6| Report Format and Submission Explain what binary logic is! Explain what logic gate is! Explain the 3 functions of basic logic gate, draw the truth table and the symbols! Explain the function of each primitive logic gate (other tha explained above), draw the truth table and the symbols! Explain the function of each complex logic gate (other tha explained above), draw the truth table and the symbols! What is combinational circuit? Give an example of it! Explain about boolean algebra! What is it used for? Mention the equations! Explain about K-map and give an example of how to use it!

Module 2:

Combinational Circuit

1| OVERVIEW a. Objectives

a. Understanding principles of Decoder and Encoder.

b. Understanding principles of Multiplexer and Demultiplexer.

2| Theory and Significance Decoder and Encoder a. Decoder

Decoder is combinational logic circuits which convert binary number from one numeral system to other numeral system, e.g. from Excess-3 to BCD. In general, decoder has n input and m output, which m = 2n. For each arbitrary input (any combination of 0 and 1) always sets only 1 output active (the rests are inactive).

Figure 2.1 General form of a decoder b. Encoder

Encoder is the opposite of decoder. It has m input and n output, which m = 2n. Only one bit input is significant and the output is arbitrary.

Multiplexer and Demultiplexer a. Multiplexer Multiplexer has n input terminals, m selector (m = 2n) and only one output terminal. This circuit will pass selected input to the output terminal.

Gambar 2.2 Mechanical data selector.

To understand basic principle of multiplexer, we can observe a mechanical selector principle. There are 4 input terminals on figure 2.2 numbered 0 to 3. Selectors position on figure 2.2 is on input 3. Therefore any data on input 3 will be passed to output. Such mechanical selector can be implemented in digital logic as in figure 2.3. A to D is the input. S0 and S1 will select which output will be passed to F (output). This behavior can be verified by checking the truth table.

Figure 2.3 Multiplexer with 4 input

b. Demultiplexer Demultiplexer the inverse of a multiplexer. Demultiplexer has 1 input, m selectors and n outputs (which m = 2n). A demultiplexer will pass any input to selected output for each A and B combination (figure 2.4).

Figure 2.4 Demultiplexer with 1 input and 4 output

b. Procedures

Equipment a. Decoder and Encoder

i. Power Supply PS-445 ii. Advance Logic Trainer CK-341

b. Multiplexer and Demultiplexer i. Power Supply PS-445

ii. Advance Logic Trainer CK-341 iii. IC 74(LS)153 2 pcs. iv. IC 74(LS)155 1 pc. v. IC 74(LS)157 1 pc.

Experiment Procedure a. Decoder and Encoder

i. Use built-in BCD to 7-segment decoder in Advance Logic Trainer CK-341. ii. Set input A0, A1, A2 and A3 on built-in decoder according to table A.

iii. Make note for each activated segment as in figure 2.5 according to table A. b. Multiplexer and Demultiplexer

i. Connect 5V line and Gnd line provided by the power supply with Advance Logic Trainer CK-341.

ii. Use IC 74(LS)153 to build a multiplexer circuit. iii. Record the output! iv. Redo for IC 74(LS)155 as 1 to 4 and 1 to 8 decoder. v. Record the output!

3| Potential Hazards Risk of electric shock due to high voltage appears on power supply.

4| Questions and Problems Make an analysis for each experiment! Make a circuit diagram for each experiment! In coder experiment, what kind of 7segment is used? What needs to be done to the circuit if we want to use the other kind of 7 segment? Why the pin 1C-(2C), and (1G)-(2G) is connected in 1-8 demultiplexer experiment?

5| Report Format and Submission Explain about decoder and encoder and their differences! Explain the difference between 2 kinds of seven segment indicators and sketch the diagram! Explain about multiplexer and demultiplexer and their differences! How to simplify the equation of multiplexers output? Why do decoder, encoder, multiplexer and demultiplexer are included in rudimentary logic function? Explain

Module 3: Arithmetic Functions

1| OVERVIEW Objectives: 1. Understand the basics of addition and subtraction using adder and subtractor

circuit 2. Understand the concept of Half and Full Adder and Subtractor 3. Understand the concept of ripple adder and subtractor 4. Understand how to implement digital circuit on SPICE simulator

(Xilinx/Proteus/Multisim)

1|BASIC THEORY

Half Adder, Full Adder, Half Subtractor, dan Full Subtractor

In Digital Arithmetics, addition,subtraction, multiplication and division are based

from binary operation.

a. Half Adder and Full Adder

Half adder adds two single binary digits A and B. It has two outputs, sum (S) and

carry (C). The carry signal represents an overflow into the next digit of a multi-digit

addition. The value of the sum is 2C + S. The simplest half-adder design is like in

picture 3.1, incorporates an XOR gate for S and an AND gate for C.

Picture 3.1 Half Adder

Table 3.1 shows the result of addition of two 1bit-binary shown as A and B, where

C show the value of Carry.

Table 3.1 Half Adder Truth Table

INPUTS OUTPUTS

A B S C

0 0 0 0

0 1 1 0

1 0 1 0

1 1 0 1

Take a note that when A = B = 1 will make S = 0 and Carry = 1. From the table

above the logic function of S is A XOR B, and for C is AB. These functions can be

implemented in digital circuit as shown in picture 3.1, a half adder.

A full adder adds binary numbers and accounts for values carried in as well as

out. A one-bit full adder adds three one-bit numbers, often written as A,B,

and Cin; A and B are the operands, and Cin is a bit carried in from the adder circuit

before or default value from user setting. The full-adder is usually a component in a

cascade of adders, which add 8, 16, 32, etc. of binary numbers. The circuit produces

a two-bit output, output carry and sum typically represented by the signals C as

Carry and S for Sum.

The truth table of full adder can be seen from table 3.2 below.

Table 3.2 Full Adder Truth Table

INPUTS OUTPUTS

A B Cin S C

0 0 0 0 0

0 0 1 1 0

0 1 0 1 0

0 1 1 0 1

1 0 0 1 0

1 0 1 0 1

1 1 0 0 1

1 1 1 1 1

In Full adder circuit, if A, B and Cin have values of 1, then S and the C adalah 1.

The logic function of S is A XOR B XOR Cin. For C, or carry out(Cout), the function

is AB+Cin(A XOR B). Full adder circuit areshown in picture 3.2.

Picture 3.2 Full adder

b. Half Subtractor and Full Subtractor

The half-subtractor is a combinational circuit which is used to perform subtraction

of two bits. It has two inputs, X (minuend) and Y (subtrahend) and two outputs D

(difference) and B (borrow). The truth table is shown on the table 3.3 below.

Table 3.3 Half Subtractor Truth Table

INPUTS OUTPUTS

A B Di Bo

0 0 0 0

0 1 1 1

1 0 1 0

1 1 0 0

From the tablel 3.3, the function of D can be written as Di=AB. Where in Bo the

function is Bo=AB. The digital circuit from those two function which create half

subtractor are shown below in picture 3.3.

Picture 3.3 Half Subtractor

Like the Full Adder circuit, full-subtractor is a combinational circuit which is used

to perform subtraction of three bits. It has three inputs, X and Y as subtraction

variable and Z (Bin) as the borrow value from subtractor circuit before or user value.

The two outputs are D (difference) and B (borrow). The Digital Circuit and Trut Table

of full subtractor are shown below.

Picture 3.4 Full Subtractor

Table 3.4 Full Subtractor Truth Table

INPUTS OUTPUTS

A B Bin Di Bout

0 0 0 0 0

0 0 1 1 0

0 1 0 1 0

0 1 1 0 1

1 0 0 1 0

1 0 1 0 1

1 1 0 0 1

1 1 1 1 1

c. Ripple Carry Adder and Subtractor

It is possible to create a logical circuit using multiple full adders to add N-bit

numbers. Each full adder inputs a Cin, which is the Cout of the previous adder. This

kind of adder is called a ripple-carry adder, since each carry bit "ripples" to the next

full adder. Note that the first (and only the first) full adder may be replaced by a half

adder.

The layout of a ripple-carry adder is simple, which allows for fast design time;

however, the ripple-carry adder is relatively slow, since each full adder must wait for

the carry bit to be calculated from the previous full adder. The gate delay can easily

be calculated by inspection of the full adder circuit. Each full adder requires three

levels of logic.

The ripple carry adder circuit are shown below in picture 3.5.

Picture 3.5 Ripple Carry adder

The ripple carry subtractor is similar to ripple carry adder, the difference is the

connected node is Bout (Borrow Out) to Bin (Borrow In) Instead of C to Cin. The rest

of the concept is similar too.

2| PROCEDURE Materials:

Simulation Software (Multisim/Proteus)

Datasheet of TTL Ripple Carry Adder

Datasheet of TTL Ripple Carry Subtractor

a. Create new workspace!

b. Create half adder and half subtractor in different design sheet!

c. Create full adder and full subtractor developed from step 3 in different design

sheet!

d. Create ripple carry adder and ripple carry subtractor developef from step 4 in

different design sheet.

e. Complete the design by connecting all VCC and GND nodes and implement

switch function as input for each design.

f. Fill the data by performing simulation through the built desing

3| Potential Hazards Always make sure the VCC and GND is correctly connected and the VCC is 5V

Make sure the saved design location design is known

4| QUESTIONS AND PROBLEMS Give your analysis of the experiment on Table A (Ripple Carry Adder)!

Give your analysis of the experiment on Table B (Ripple subtractor)!

Give the overall conclusions of this experiment! Write in points form!

5| REPORT FORMAT AND SUBMISSION

TABLE A. RIPPLE CARRY ADDER

TABLE B. RIPPLE SUBTRACTOR

1. What adder and subtractor circuit are? Give the complete description about them! 2. Draw every type of adder and subtractor circuit! Give description on each of them

how they works! 3. Describe why there is an inverter on Ripple Subtractor circuit whereas in Ripple

Adder there are none of them exists! 4. Give example of implementation of adder and subtractor on real life device (At least 1

for each of them)! Give complete description on how they work and write the source of the information (Journal preferable)

Module 4: Flip Flop

Objectives:

1. To understand the work principle of sequential circuit

2. To understand the difference in work principles between

sequential circuit and combinational circuit

3. To understand the work principle of flip flop as the base

of sequential circuit and memory circuit

1|BASIC THEORY

The work principle of sequential circuit is different from combinational circuit. In

sequential circuit, the output is determined from both last inputs given and the

previous output. It is because the previous output works as feedback signal to its

own circuit. In sequential circuit, the output is also determined by the order of inputs

given to the circuit. The output can be different for the same value of inputs if the

order of inputs given is also different. Based on its clock, there are two types of

sequential circuit: synchronous sequential circuit and asynchronous sequential

circuit. In synchronous sequential circuit, the circuit operation is controlled together

with the same external clock signal. While in asynchronous sequential circuit, the

circuit operation is not controlled together with the same external clock signal, but

with the output of the previous circuit.

The simplest sequential circuit is flip flop, or, in other words, bistable. In this

experiment it will be shown the characteristic of flip flop so that it is used as the base

element of memory.

There are two common characteristics that all kinds of flip flop have:

1. Flip-flop is a bistable component, which means there are only two fixed

condition, 0 and 1.Flip flop can hold or remember a binary bit

information. If a signal input is given and the output becomes 1, then this

1 condition will be remembered until there is new signal that is able to

change it into 0 or vice versa.

2. Flip flop has two outputs, which one of them is the complement of the

other output.

There are types of flip flop that dont need clock input such as RS Latch and D

latch, but there are also some types that need clock input such as RS flip flop, D flip

flop and JK flip flop. Clock is a periodic signal which is used to control the the work

order or synchronization in digital circuit. Usually, the clock used for digital circuit has

the square-wave form like the figure below.

Figure 4.1 Clock signal

d. RS Latch and RS Flip Flop

Below is the logic diagram of RS Latch using NOR gates and the logic diagram of RS flip flop.

Figure 4.2 RS Latch using NOR gates

Figure 4.3 RS Flip-flop

The difference between those two figures is that the flip flop has clock signal input while the latch doesnt. The clock input in flip flop is only as synchronization to the circuit but the output remains the same.

Table 4.1. PS/NS RS Flip-flop table

q (present state) S R Q(next state) Q(next state)

0 0 0 0 1

0 0 1 0 1

0 1 0 1 0

0 1 1 x X

1 0 0 1 0

1 1 0 1 0

1 1 1 x X

Characteristic equation of RS flip-flop: Q = S + Rq

e. D Latch and D Flip Flop

D Latch is RS flip-flop, but the S and R input is complement to each other and create a new data (D) input, and there is another new inputk, Enable (Gate).

Figure 4.4 D Latch

Table 4.2 D Latch output table

D G Q Q

X 0 q q

0 1 0 1

1 1 1 0

D flip flop is different from D latch, it has clock input so that the output will

change on clock transition. There are two transition of clock, positive edge triggering, or the clock transition from L (low) to H (high) and negative edge triggering, or the clock transition from H (high) to L (low).

Figure 4.5 D Flip-flop

Table 4.3 PS/NS D Flip-Flop table

q (Present state)

D Q (Next state) Q (Next state)

0 0 0 1

0 1 1 0

1 0 0 1

1 1 1 0

Characteristic equation of D Flip-Flop : Q = D

f. JK Flip Flop

Just like D flop flop, JK flip flop also needs clock pulse as one of its inputs. This clokc input causes the output to change with the transition of the clock pulse. JK flip flop has special characteristic, which is when both J and K inputs are all have the value 1, then the output will alternate between 0 and 1 for each clock transition. In other words, this condition is called TOGGLE.

Figure 4.6 JK Flip-flop

Table 4.4 PS/NS JK Flip-Flop Table

q (Present state)

J K Q (Next state)

0 0 0 0

0 0 1 0

0 1 0 1

0 1 1 1

1 0 0 1

1 0 1 0

1 1 0 1

1 1 1 0

Characteristic equation of JK Flip-Flop : Q = Jq + Kq

2 | PROCEDURE

Materials:

1 Power Supply

1 Advance Logic Trainer Module

1 IC 74LG279 (RS Latch)

1 IC 74LS75 (D Latch)

1 IC 74LS74A (D Flip-flop)

1 IC 74LS76A (JK Flip-flop)

1 IC 74LS73A (JK Flip-flop)

1 IC NE555 (Timer)

20 Cables

a. Connect the power supply (5V) to the Advance Logic Trainer.

b. Put IC 74LG279 (RS Latch) to the Advance Logic Trainer and connect each IC

pin with switch module for inputs and LED module for outputs from the Advance

Logic Trainer.

c. Check the characteristic of IC 74LG279 (RS Latch) tersebut by giving inputs

corresponding to table A.

d. Repeat step 2 and 3 for IC 74LS75 (D Latch), IC 74LS74A (D flip-flop), IC

74LS76A (JK flip-flop) andIC 74LS73A (JK flip-flop) by giving inputs

corresponding to table B, C, D, and E.

e. For flip flops which uses clock signal, connect the corresponding IC pin with

clock signal from IC NE555 module from Advance Logic Trainer.

B. Potential Hazards

Check if the power supply connect correctly to the Advance Logic Trainer and

to the IC. Dont be confused between VCC and ground. Each must be

connected correctly, not get swapped and not connect to each other.

Put the IC correctly, dont get inverted when putting the IC to the socket.

3 | QUESTIONS AND PROBLEMS

1. Give the analysis of RS Latch Experiment!

2. Give the analysis of D latch experiment!

3. Give the analysis of D flip-flop experiment!

4. Give the analysis of JK flip-flop (IC 74LS76A) experiment!

5. Give the analysis of JK flip-flop (IC 74LS73A) experiment!

Give the Conclusion of these experiments by using mutiple points

4 | REPORT FORMAT AND SUBMISSION

(see lab worksheet)

Table A. RS Latch (IC 74LG279)

S R Q Q 0 1

1 1

1 0

1 1

0 1

0 0

1 0

0 0

Table B. D Latch (IC 74LS75)

D G Q Q 0 0

1 0

0 1

0 0

1 1

1 0

Table C. D Flip-Flop (IC 74LS74A)

INPUTS OUTPUTS

PRESET CLEAR CLOCK D Q Q 0 1 X X

1 0 X X

0 0 X X

1 1 1 1 1 0 1 1 0 X

Table D. JK Flip-Flop (IC 74LS76A)

INPUTS OUTPUTS

PRESET CLEAR CLOCK J K Q Q 0 1 X X X

1 0 X X X

0 0 X X X

1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 X X

Table E. JK Flip-Flop (IC 74LS73A)

INPUTS OUTPUTS

CLEAR CLOCK J K Q Q 0 X X X

1 0 0 1 1 0 1 0 1 1 1 1 1 1 X X

b. Explain about sequential circuit and give an example!

c. Explain the difference between sequential circuit and combinational circuit!

d. Explain about flip flop, the types of flip flop and the figures of the circuits!

e. Explain about Toggle in JK flip flop!

f. Explain about state diagram and timing diagram!

Module 5: Counter

Objectives:

1. Understanding the principle of flip-flop in counter.

2. Students understand the difference of synchronous and asynchronous counter.

1|BASIC THEORY

A counter is a sequential logic circuit that goes through a prescribed sequence of

states upon the application of input pulses. The prescribed sequence can be a

binary sequence or any other sequence. A counter that goes through 2N (N is the

number of flip-flops in the series) states is called a binary counter. The modulus of

a counter is the number of different states it is allowed to have. Counter modulus

is normally 2N unless controlled by a feedback circuit which limits the number of

possible states (an example being the decimal counter). Counters are very widely

used in almost all computers and other digital electronic systems. There are two

major categories of counters: asynchronous counters and synchronous counters.

g. ASYNCHRONOUS COUNTER

Counters arranged so that the output of one flip-flop generates the clock input of

the next higher stage are generally called asynchronous counters (or ripple

counter). In other words, in asynchronous counters, the CLK inputs of all flip-flops

(except the first one) are triggered not by the incoming pulses but rather by the

transition that occurs in other flip-flops. Therefore, the change of state of a

particular flip-flop is dependent upon the present state of other flip-flops. Figure 1

shows a count-up ripple counter.

Figure 1. 4-bit binary asynchronous counter

h. SYNCHRONOUS COUNTER

Synchronous counters eliminate the cumulative flip-flop delay seen in ripple

counter. Each flip-flop is clocked by the same clock signal. Each gate selectively

controls when each more significant bit flip-flop is to change state (toggle) on the

next clock transition. Such control (enable) can be realized by setting, for example,

the J and K inputs of a J-K flip-flop. Because of this control, the addition of a

common clock will synchronize data transfer and all flip-flops will change state

simultaneously. The important feature of a synchronous counter is that the

transitions of the individual flip-flops are synchronized to a master clock signal.

Figure 2. 4-bit binary synchronous counter

i. TIMING DIAGRAM

Figure 3. Timing diagram 4-bit binary counter

Because this 4-bit synchronous counter counts sequentially on every clock pulse

the resulting outputs count upwards from 0 (0000) to 15 (1111). Therefore, this

type of counter is also known as a 4-bit synchronous up counter. But, in many

applications require the counter which count 0-9. Therefore, we use decade

counter.

Figure 4. Asynchronous decade counter

This type of asynchronous counter counts upwards on each leading edge of the

input clock signal starting from 0000 until it reaches an output 1010 (decimal 10).

Both outputs Q1 and Q2 are now equal to logic 1 and the output from

the NAND gate changes state from logic 1 to a logic 0 level and whose output is

also connected to the CLEAR (CLR) inputs of all the J-K Flip-flops.

This signal causes all of the Q outputs to be reset back to binary 0000 on the count

of 10. Once Q1 and Q3 are both equal to logic 0 the output of the NAND gate

returns back to a logic level 1 and the counter restarts again from 0000. We now

have a decade or Modulo-10 counter.

2 | PROCEDURE

Materials

Power Supply

Advances Logic Trainer

IC 74LS93 (4-bit binary asynchronous counter)

IC 74LS90 (4-bit decade asynchronous counter)

IC 74LS163 (4-bit binary synchronous counter)

IC 74LS162 (4-bit decade synchronous counter)

Wires

g. Use power supply to connect 5 volt in advanced logic trainer!

h. Mount IC 74LS93 (4-bit binary asynchronous counter) on the board and make

the connections as shown in datasheet. (SWITCH as input and LED as output)!

i. Now connect CLOCK to a pulse and start counting by pushing the pulse button!

j. Continue the process and look at the output. How the influence of the clock

signal on the output? Record the output of each transition in a table A!

k. Repeat the same procedure (b, c, and d) and record the output of each

transition in table B, C, and D for each of IC!

3 | QUESTIONS AND PROBLEMS

a. Analysis

1) Make an analysis of 1st experiment!

2) Make an analysis of 2nd experiment!

3) Make an analysis of 3rd experiment!

4) Make an analysis of 4th experiment!

b. Conclusion

Make a conclusion of this experiment!

4 | REPORT FORMAT AND SUBMISSION

c. Basic Theory

1) What is counter in digital system? Give an example and make a diagram

block!

2) What are the differences between asynchronous and synchronous counter?

d. Data Form

Table A. 4-bit binary asynchronous counter

IC 74LS193

Count Qa Qb Qc Qd Count Qa Qb Qc Qd

0 8

1 9

2 10

3 11

4 12

5 13

6 14

7 15

Note: R0(1) = 0 ; R0(2) = 0

Table B. 4-bit decade asynchronous counter

IC 74LS90

Count Qa Qb Qc Qd Count Qa Qb Qc Qd

0 5

1 6

2 7

3 8

4 9

Note: R0(1) = 0 ; R0(2) = 0 ; Rg(1) = 0 ; Rg(2) = 0

Table C. 4-bit binary synchronous counter

IC 7LS163

Count Qa Qb Qc Qd Count Qa Qb Qc Qd

0 8

1 9

2 10

3 11

4 12

5 13

6 14

7 15

Note: CLEAR = 1 ; LOAD = 1 ; DATA INPUT A,B,C,D = 0 ; ENABLE P,T = 1

Warning the ripple carry output when count 15 or 1111 in binary!

Table D. 4-bit decade synchronous counter

IC 74LS62

Count Qa Qb Qc Qd Count Qa Qb Qc Qd

0 5

1 6

2 7

3 8

4 9

Note: CLEAR = 1 ; LOAD = 1 ; DATA INPUT A,B,C,D = 0 ; ENABLE P,T = 1

Warning the ripple carry output when count 9 or 1001 in binary!

g. Explain about register!

h. Explain about shift register!

i. Explain about counter, give an example and also the block diagram!

j. Explain the difference between asynchronous counter and synchronous counter!