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Page 1: Lic Lab Manual 2013

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Department of Electrical and Electronics Engineering

Lab Manual

131452 LINEAR AND DIGITAL INTEGRATED CIRCUITS

LABORATORY

Class: 2 EEE

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Exp No. 1a STUDY OF LOGIC GATES

AIM:

To verify the truth table of basic digital ICs of AND, OR, NOT, NAND, NOR, EX-OR gates.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Digital IC trainer kit 1

2. AND gate IC 7408 1

3. OR gate IC 7432 1

4. NOT gate IC 7404 1

5. NAND gate IC 7400 1

6. NOR gate IC 7402 1

7. EX-OR gate IC 7486 1

8. Connecting wires As required

THEORY:

a. AND gate:

An AND gate is the physical realization of logical multiplication operation. It is an

electronic circuit which generates an output signal of ‘1’ only if all the input signals

are ‘1’.

b. OR gate:

An OR gate is the physical realization of the logical addition operation. It is an

electronic circuit which generates an output signal of ‘1’ if any of the input signal is

‘1’.

c. NOT gate:

A NOT gate is the physical realization of the complementation operation. It is an

electronic circuit which generates an output signal which is the reverse of the input

signal. A NOT gate is also known as an inverter because it inverts the input.

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AND GATE

LOGIC DIAGRAM:

PIN DIAGRAM OF IC 7408 :

CIRCUIT DIAGRAM:

TRUTH TABLE:

S.No INPUT OUTPUT

A B Y = A . B

1. 0 0 0

2. 0 1 0

3. 1 0 0

4. 1 1 1

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OR GATE

LOGIC DIAGRAM:

PIN DIAGRAM OF IC 7432 :

CIRCUIT DIAGRAM:

TRUTH TABLE:

S.No INPUT OUTPUT

A B Y = A + B

1. 0 0 0

2. 0 1 1

3. 1 0 1

4. 1 1 1

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NOT GATE

LOGIC DIAGRAM:

PIN DIAGRAM OF IC 7404 :

CIRCUIT DIAGRAM:

TRUTH TABLE:

S.No INPUT OUTPUT

A Y = A’

1. 0 1

2. 1 0

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NAND GATE

LOGIC DIAGRAM:

PIN DIAGRAM OF IC 7400 :

CIRCUIT DIARAM:

TRUTH TABLE:

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S.No INPUT OUTPUT

A B Y = (A . B)’

1. 0 0 1

2. 0 1 1

3. 1 0 1

4. 1 1 0

NOR GATE

LOGIC DIAGRAM:

PIN DIAGRAM OF IC 7402 :

CIRCUIT DIAGRAM:

TRUTH TABLE:

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S.No INPUT OUTPUT

A B Y = (A + B)’

1. 0 0 1

2. 0 1 0

3. 1 0 0

4. 1 1 0

EX-OR GATE

LOGIC DIAGRAM

PIN DIAGRAM OF IC 7486 :

CIRCUIT DIAGRAM:

TRUTH TABLE:

S.No INPUT OUTPUT

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A B Y = A B

1. 0 0 0

2. 0 1 1

3. 1 0 1

4. 1 1 0

d. NAND gate:

A NAND gate is a complemented AND gate. The output of the NAND gate will be

‘0’ if all the input signals are ‘1’ and will be ‘1’ if any one of the input signal is ‘0’.

e. NOR gate:

A NOR gate is a complemented OR gate. The output of the OR gate will be ‘1’ if all

the inputs are ‘0’ and will be ‘0’ if any one of the input signal is ‘1’.

f. EX-OR gate:

An Ex-OR gate performs the following Boolean function,

A B = ( A . B’ ) + ( A’ . B )

It is similar to OR gate but excludes the combination of both A and B being equal to

one. The exclusive OR is a function that give an output signal ‘0’ when the two

input signals are equal either ‘0’ or ‘1’.

PROCEDURE:

1. Connections are given as per the circuit diagram

1. For all the ICs 7th

pin is grounded and 14th

pin is given +5 V supply.

2. Apply the inputs and verify the truth table for all gates.

RESULT:

The truth table of all the basic digital ICs were verified.

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1.b. STUDY OF FLIP-FLOPS USING GATES

Aim : To construct RS, JK, D and T Flip flops using logic gates and

verify truth table for each of it.

Apparatus Required:

S.NO ITEM SPECIFICATION QUANTITY

1

2

3

Digital IC trainer kit

IC7404, IC 7400

IC 7410

QUAD

1

1 each

1

Circuit Diagram :

RS FLIP FLOP

S 1 3 4

2 6 Q

5

9 7400

8 7400

R 10 12

11 Q’

13

TRUTH TABLE

R S Q Q’

0 0 0 1

0 1 1 0

1 0 0 1

1 1 1 1

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JK FLIP FLOP

1 1 3 Q

J 2 12

13 2

CLK 7410 7400

3

4

K 4 6

5 5 6 Q’

TRUTH TABLE

J K Q Q’

0 0 1 0

0 1 1 0

1 0 0 1

1 1 1 1

T FLIP FLOP

1 1 3 Q

J 2 12

13 2

CLK 7410 7400

3

4

4 6

5 5 6 Q’

TRUTH TABLE

D Q Q’

1 1 0

0 0 1

D FLIP FLOP

1 1 3 Q

J 2 12

7404 1 13 2

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CLK 2 7410 7400

3

4

4 6

5 5 6 Q’

TRUTH TABLE

T Q Q’

1 1 1

0 0 1

THEORY :

S-R Flip Flop :

It is formed out of any two NAND gates. It has 2 input SET (s)

and RESET(R) and 2 outputs (Q) and ( Q ). The device has 2

stable states.

J-K Flip Flop :

The uncertainty in the state of S-R Flip Flop when Sn = Rn =1 (fourth row of

truth table) can be eliminated by converting it in to a J-K Flip Flop. The data

inputs are J and K, which are ANDed with Q and Q respectively to obtain S and R

inputs.

D Flip Flop :

If we use only the middle 2 rows of the truth table of the

S-R or J-K Flip Flop, we obtain a D type Flip Flop. It has only one input referred

to as D input or data input.

T Flip Flop :

In a J-K Flip Flop, if J = K, the resulting FLIP-FLOP is

Referred to as a T type Flip Flop. It has only one input, referred to as T input. If

T=1 it acts as a toggle switch. For every clock pulse, the output Q changes.

Procedure:

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• Give connections as per the circuit diagram.

• Inputs are given to the circuit making high ‘1’ i.e. +5 V or + Vcc supply

and for low ‘0’ i.e. GND, clock input is given from the IC trainer kit.

• The binary input 00, 01, 10, 11 are given and the outputs are observed.

• Repeat the same procedure for JK, D, and T Flip-Flops and verify the truth

table.

Result: Thus the RS, JK, D, and T Flip Flops were constructed and its truth table were

verified.

Exp No. 2a HALF ADDER & FULL ADDER

AIM:

To design and verify the truth table of the Half Adder & Full Adder circuits.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Digital IC trainer kit 1

2. AND gate IC 7408

3. OR gate IC 7432

4. NOT gate IC 7404

5. EX-OR gate IC 7486

6. Connecting wires As required

THEORY:

The most basic arithmetic operation is the addition of two binary digits. There are four

possible elementary operations, namely,

0 + 0 = 0

0 + 1 = 1

1 + 0 = 1

1 + 1 = 102

The first three operations produce a sum of whose length is one digit, but when the last

operation is performed the sum is two digits. The higher significant bit of this result is called

a carry and lower significant bit is called the sum.

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HALF ADDER:

A combinational circuit which performs the addition of two bits is called half adder. The

input variables designate the augend and the addend bit, whereas the output variables

produce the sum and carry bits.

FULL ADDER:

A combinational circuit which performs the arithmetic sum of three input bits is called full

adder. The three input bits include two significant bits and a previous carry bit. A full adder

circuit can be implemented with two half adders and one OR gate.

HALF ADDER

TRUTH TABLE:

S.No INPUT OUTPUT

A B S C

1. 0 0 0 0

2. 0 1 1 0

3. 1 0 1 0

4. 1 1 0 1

DESIGN:

From the truth table the expression for sum and carry bits of the output can be obtained as,

Sum, S = A B

Carry, C = A . B

CIRCUIT DIAGRAM:

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FULL ADDER

TRUTH TABLE:

S.No INPUT OUTPUT

A B C SUM CARRY

1. 0 0 0 0 0

2. 0 0 1 1 0

3. 0 1 0 1 0

4. 0 1 1 0 1

5. 1 0 0 1 0

6. 1 0 1 0 1

7. 1 1 0 0 1

8. 1 1 1 1 1

DESIGN:

From the truth table the expression for sum and carry bits of the output can be obtained as,

SUM = A’B’C + A’BC’ + AB’C’ + ABC

CARRY = A’BC + AB’C + ABC’ +ABC

Using Karnaugh maps the reduced expression for the output bits can be obtained as,

SUM

SUM = A’B’C + A’BC’ + AB’C’ + ABC = A B C

CARRY

CARRY = AB + AC + BC

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CIRCUIT DIAGRAM:

PROCEDURE:

1. Connections are given as per the circuit diagrams.

2. For all the ICs 7th

pin is grounded and 14th

pin is given +5 V supply.

3. Apply the inputs and verify the truth table for the half adder and full adder circuits.

RESULT:

The design of the half adder and full adder circuits was done and their truth tables were

verified.

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2.b. HALF SUBTRACTOR & FULL SUBTRACTOR

AIM:

To design and verify the truth table of the Half Subtractor & Full Subtractor circuits.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Digital IC trainer kit 1

2. AND gate IC 7408

3. OR gate IC 7432

4. NOT gate IC 7404

5. EX-OR gate IC 7486

6. Connecting wires As required

THEORY:

The arithmetic operation, subtraction of two binary digits has four possible elementary

operations, namely,

0 - 0 = 0

0 - 1 = 1 with 1 borrow

1 - 0 = 1

1 - 1 = 0

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In all operations, each subtrahend bit is subtracted from the minuend bit. In case of the

second operation the minuend bit is smaller than the subtrahend bit, hence 1 is borrowed.

HALF SUBTRACTOR:

A combinational circuit which performs the subtraction of two bits is called half subtractor.

The input variables designate the minuend and the subtrahend bit, whereas the output

variables produce the difference and borrow bits.

FULL SUBTRACTOR:

A combinational circuit which performs the subtraction of three input bits is called full

subtractor. The three input bits include two significant bits and a previous borrow bit. A full

subtractor circuit can be implemented with two half subtractors and one OR gate.

HALF SUBTRACTOR

TRUTH TABLE:

S.No INPUT OUTPUT

A B DIFF BORR

1. 0 0 0 0

2. 0 1 1 1

3. 1 0 1 0

4. 1 1 0 0

DESIGN:

From the truth table the expression for difference and borrow bits of the output can be

obtained as,

Difference, DIFF = A B

Borrow, BORR = A’ . B

CIRCUIT DIAGRAM:

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FULL SUBTRACTOR

TRUTH TABLE:

S.No INPUT OUTPUT

A B C DIFF BORR

1. 0 0 0 0 0

2. 0 0 1 1 1

3. 0 1 0 1 1

4. 0 1 1 0 1

5. 1 0 0 1 0

6. 1 0 1 0 0

7. 1 1 0 0 0

8. 1 1 1 1 1

DESIGN:

From the truth table the expression for difference and borrow bits of the output can be

obtained as,

Difference, DIFF= A’B’C + A’BC’ + AB’C’ + ABC

Borrow, BORR = A’BC + AB’C + ABC’ +ABC

Using Karnaugh maps the reduced expression for the output bits can be obtained as,

DIFFERENCE

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DIFF = A’B’C + A’BC’ + AB’C’ + ABC = A B C

BORROW

BORR = A’B + A’C + BC

CIRCUIT DIAGRAM:

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PROCEDURE:

1. Connections are given as per the circuit diagrams.

2. For all the ICs 7th

pin is grounded and 14th

pin is given +5 V supply.

3. Apply the inputs and verify the truth table for the half subtractor and full subtractor

circuits.

RESULT:

The design of the half subtractor and full subtractor circuits was done and their truth tables

were verified.

2.c. IMPLEMENTATION OF BOOLEAN FUNCTIONS

AIM:

To design the logic circuit and verify the truth table of the given Boolean expression,

F (A,B,C,D) = Σ (0,1,2,5,8,9,10)

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Digital IC trainer kit 1

2. AND gate IC 7408

3. OR gate IC 7432

4. NOT gate IC 7404

5. NAND gate IC 7400

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6. NOR gate IC 7402

7. EX-OR gate IC 7486

8. Connecting wires As required

DESIGN:

Given , F (A,B,C,D) = Σ (0,1,2,5,8,9,10)

The output function F has four input variables hence a four variable Karnaugh Map is used to

obtain a simplified expression for the output as shown,

From the K-Map,

F = B’ C’ + D’ B’ + A’ C’ D

Since we are using only two input logic gates the above expression can be re-written as,

F = C’ (B’ + A’ D) + D’ B’

Now the logic circuit for the above equation can be drawn.

CIRCUIT DIAGRAM:

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TRUTH TABLE:

S.No INPUT OUTPUT

A B C D F=D’B’+C’(B’+A’D)

1. 0 0 0 0 1

2. 0 0 0 1 1

3. 0 0 1 0 1

4. 0 0 1 1 0

5. 0 1 0 0 0

6. 0 1 0 1 1

7. 0 1 1 0 0

8. 0 1 1 1 0

9. 1 0 0 0 1

10. 1 0 0 1 1

11. 1 0 1 0 1

12. 1 0 1 1 0

13. 1 1 0 0 0

14. 1 1 0 1 0

15. 1 1 1 0 0

16. 1 1 1 1 0

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PROCEDURE:

1. Connections are given as per the circuit diagram

2. For all the ICs 7th

pin is grounded and 14th

pin is given +5 V supply.

3. Apply the inputs and verify the truth table for the given Boolean expression.

RESULT:

The truth table of the given Boolean expression was verified.

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Exp No.3 CODE CONVERTERS

AIM :

To construct and verify the truth table of Binary to Gray code, Gray to Binary

Code, BCD to Excess-3 code converter circuits.

APPARATUS REQUIRED:

S.NO Particular Name SPECIFICATION QUANTITY

1

2

3

4

Digital IC trainer kit

IC 7486

IC 7404

Connecting Wires

----

QUAD

QUAD

1

3

1

PROCEDURE:

1. Give connections as per the circuit diagram

2. Inputs are given to the circuit making high ‘1’ i.e. +5 V or

+ Vcc supply to the 14th

pin and for low ‘0’ i.e. GND to the 7th

pin of gate IC

3. Verify the truth table as given for all the code converter

CIRCUIT DIAGRAM:

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TRUTH TABLE:

INPUTS(Binary Code) OUTPUTS (Gray Code)

B3 B2 B1 B0 G3 G2 G1 G0

0 0 0 0

0 0 0 1

0 0 1 0

0 0 1 1

0 1 0 0

0 1 0 1

0 1 1 0

0 1 1 1

1 0 0 0

1 0 0 1

1 0 1 0

1 0 1 1

1 1 0 0

1 1 0 1

1 1 1 0

1 1 1 1

CIRCUIT DIAGRAM:

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TRUTH TABLE:

INPUTS(Gray Code) OUTPUTS(Binary Code)

G3 G2 G1 G0 B3 B2 B1 B0

0 0 0 0

0 0 0 1

0 0 1 0

0 0 1 1

0 1 0 0

0 1 0 1

0 1 1 0

0 1 1 1

1 0 0 0

1 0 0 1

1 0 1 0

1 0 1 1

1 1 0 0

1 1 0 1

1 1 1 0

1 1 1 1

CIRCUIT DIAGRAM:

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TRUTH TABLE:

INPUTS(BCD Code) OUTPUTS(Binary Code)

A B C D B3 B2 B1 B0

0 0 0 0

0 0 0 1

0 0 1 0

0 0 1 1

0 1 0 0

0 1 0 1

0 1 1 0

0 1 1 1

1 0 0 0

RESULT:

The code converter circuits are all constructed and truth table is verified.

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3.b. PARITY GENERATOR & CHECKER

AIM:

To design and verify the truth table of a three bit Odd Parity generator and checker.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Digital IC trainer kit 1

2. EX-OR gate IC 7486

3. NOT gate IC 7404

4. Connecting wires As required

THEORY:

A parity bit is used for the purpose of detecting errors during transmission of binary

information. A parity bit is an extra bit included with a binary message to make the number

of 1’s either odd or even. The message including the parity bit is transmitted and then

checked at the receiving end for errors. An error is detected if the checked parity does not

correspond with the one transmitted. The circuit that generates the parity bit in the

transmitter is called a parity generator and the circuit that checks the parity in the receiver is

called a parity checker.

In even parity the added parity bit will make the total number of 1’s an even amount and in

odd parity the added parity bit will make the total number of 1’s an odd amount.

In a three bit odd parity generator the three bits in the message together with the parity bit are

transmitted to their destination, where they are applied to the parity checker circuit. The

parity checker circuit checks for possible errors in the transmission.

Since the information was transmitted with odd parity the four bits received must have an

odd number of 1’s. An error occurs during the transmission if the four bits received have an

even number of 1’s, indicating that one bit has changed during transmission. The output of

the parity checker is denoted by PEC (parity error check) and it will be equal to 1 if an error

occurs, i.e., if the four bits received has an even number of 1’s.

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ODD PARITY GENERATOR

TRUTH TABLE:

S.No

INPUT

( Three bit message)

OUTPUT

( Odd Parity bit)

A B C P

1. 0 0 0 1

2. 0 0 1 0

3. 0 1 0 0

4. 0 1 1 1

5. 1 0 0 0

6. 1 0 1 1

7. 1 1 0 1

8. 1 1 1 0

From the truth table the expression for the output parity bit is,

P( A, B, C) = Σ (0, 3, 5, 6)

Also written as,

P = A’B’C’ + A’BC + AB’C + ABC’ = (A B C) ‘

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CIRCUIT DIAGRAM:

ODD PARITY GENERATOR

ODD PARITY CHECKER

TRUTH TABLE:

S.No

INPUT

( four bit message

Received )

OUTPUT

(Parity error check)

A B C P X

1. 0 0 0 0 1

2. 0 0 0 1 0

3. 0 0 1 0 0

4. 0 0 1 1 1

5. 0 1 0 0 0

6. 0 1 0 1 1

7. 0 1 1 0 1

8. 0 1 1 1 0

9. 1 0 0 0 0

10. 1 0 0 1 1

11. 1 0 1 0 1

12. 1 0 1 1 0

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13. 1 1 0 0 1

14. 1 1 0 1 0

15. 1 1 1 0 0

16. 1 1 1 1 1

From the truth table the expression for the output parity checker bit is,

X (A, B, C, P) = Σ (0, 3, 5, 6, 9, 10, 12, 15)

The above expression is reduced as,

X = (A B C P) ‘

CIRCUIT DIAGRAM:

ODD PARITY CHECKER

PROCEDURE:

1. Connections are given as per the circuit diagrams.

2. For all the ICs 7th

pin is grounded and 14th

pin is given +5 V supply.

3. Apply the inputs and verify the truth table for the Parity generator and checker.

RESULT:

The design of the three bit odd Parity generator and checker circuits was done and their truth

tables were verified.

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Expt. No. 4 MULTIPLEXER & DEMULTIPLEXER

AIM:

To design and verify the truth table of a 4X1 Multiplexer & 1X4 Demultiplexer.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Digital IC trainer kit 1

2. OR gate IC 7432

3. NOT gate IC 7404

4. AND gate ( three input ) IC 7411

5. Connecting wires As required

THEORY:

Multiplexer is a digital switch which allows digital information from several sources to be

routed onto a single output line. The basic multiplexer has several data input lines and a

single output line. The selection of a particular input line is controlled by a set of selection

lines. Normally, there are 2n input lines and n selector lines whose bit combinations

determine which input is selected. Therefore, multiplexer is ‘many into one’ and it provides

the digital equivalent of an analog selector switch.

A Demultiplexer is a circuit that receives information on a single line and transmits this

information on one of 2n possible output lines. The selection of specific output line is

controlled by the values of n selection lines.

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DESIGN:

4 X 1 MULTIPLEXER

LOGIC SYMBOL:

TRUTH TABLE:

S.No SELECTION INPUT OUTPUT

S1 S2 Y

1. 0 0 I0

2. 0 1 I1

3. 1 0 I2

4. 1 1 I3

PIN DIAGRAM OF IC 7411:

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CIRCUIT DIAGRAM:

1X4 DEMULTIPLEXER

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LOGIC SYMBOL:

TRUTH TABLE:

S.No INPUT OUTPUT

S1 S2 Din Y0 Y1 Y2 Y3

1. 0 0 0 0 0 0 0

2. 0 0 1 1 0 0 0

3. 0 1 0 0 0 0 0

4. 0 1 1 0 1 0 0

5. 1 0 0 0 0 0 0

6. 1 0 1 0 0 1 0

7. 1 1 0 0 0 0 0

8. 1 1 1 0 0 0 1

CIRCUIT DIAGRAM:

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PROCEDURE:

1. Connections are given as per the circuit diagrams.

2. For all the ICs 7th

pin is grounded and 14th

pin is given +5 V supply.

3. Apply the inputs and verify the truth table for the multiplexer & demultiplexer.

RESULT:

The design of the 4x1 Multiplexer and 1x4 Demultiplexer circuits was done and their truth

tables were verified.

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Expt. No. 5 ASYNCHRONOUS DECADE COUNTER

AIM:

To implement and verify the truth table of an asynchronous decade counter.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Digital IC trainer kit 1

2. JK Flip Flop IC 7473 2

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4. NAND gate IC 7400 1

5. Connecting wires As required

THEORY:

Asynchronous decade counter is also called as ripple counter. In a ripple counter the flip flop

output transition serves as a source for triggering other flip flops. In other words the clock

pulse inputs of all the flip flops are triggered not by the incoming pulses but rather by the

transition that occurs in other flip flops. The term asynchronous refers to the events that do

not occur at the same time. With respect to the counter operation, asynchronous means that

the flip flop within the counter are not made to change states at exactly the same time, they

do not because the clock pulses are not connected directly to the clock input of each flip flop

in the counter.

PIN DIAGRAM OF IC 7473:

CIRCUIT DIAGRAM:

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TRUTH TABLE:

S.No CLOCK

PULSE

OUTPUT

D(MSB) C B A(LSB)

1 - 0 0 0 0

2 1 0 0 0 1

3 2 0 0 1 0

4 3 0 0 1 1

5 4 0 1 0 0

6 5 0 1 0 1

7 6 0 1 1 0

8 7 0 1 1 1

9 8 1 0 0 0

10 9 1 0 1 0

11 10 0 0 0 0

PROCEDURE:

1. Connections are given as per the circuit diagrams.

2. Apply the input and verify the truth table of the counter.

RESULT:

The truth table of the Asynchronous decade counter was hence verified.

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Expt. No. 6 IMPLEMENTATION OF SHIFT REGISTERS

AIM:

To implement and verify the truth table of a serial in serial out shift register.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Digital IC trainer kit 1

2. D Flip Flop IC 7474 2

3. Connecting wires As required

THEORY:

A register capable of shifting its binary information either to the left or to the right is called a

shift register. The logical configuration of a shift register consists of a chain of flip flops

connected in cascade with the output of one flip flop connected to the input of the next flip

flop. All the flip flops receive a common clock pulse which causes the shift from one stage

to the next.

The Q output of a D flip flop is connected to the D input of the flip flop to the left. Each

clock pulse shifts the contents of the register one bit position to the right. The serial input

determines, what goes into the right most flip flop during the shift. The serial output is taken

from the output of the left most flip flop prior to the application of a pulse. Although this

register shifts its contents to its left, if we turn the page upside down we find that the register

shifts its contents to the right. Thus a unidirectional shift register can function either as a

shift right or a shift left register.

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PIN DIAGRAM OF IC 7474:

CIRCUIT DIAGRAM:

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TRUTH TABLE:

For a serial data input of 1101,

S.NO CLOCK

PULSE

INPUTS OUTPUTS

D1 D2 D3 D4 Q1 Q2 Q3 Q4

1 1 1 X X X 1 X X X

2 2 1 1 X X 1 1 X X

3 3 0 1 1 X 0 1 1 X

4 4 1 0 1 1 1 0 1 1

5 5 X 1 0 1 X 1 0 1

6 6 X X 1 0 1 X 1 0

7 7 X X X 1 0 X X 1

8 8 X X X X X X X X

PROCEDURE:

1. Connections are given as per the circuit diagrams.

2. Apply the input and verify the truth table of the counter.

RESULT:

The truth table of a serial in serial out left shift register was hence verified.

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Expt. No.7 Op-amp Applications

a. INVERTING AMPLIFIER

AIM:

To design an Inverting Amplifier for the given specifications using Op-Amp IC 741.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Function Generator 3 MHz 1

2. CRO 30 MHz 1

3. Dual RPS 0 – 30 V 1

4. Op-Amp IC 741 1

5. Bread Board 1

6. Resistors As required

7. Connecting wires and probes As required

PROCEDURE:

1. Connections are given as per the circuit diagram.

2. + Vcc and - Vcc supply is given to the power supply terminal of the Op-Amp IC.

3. By adjusting the amplitude and frequency knobs of the function generator,

appropriate input voltage is applied to the inverting input terminal of the Op-Amp.

4. The output voltage is obtained in the CRO and the input and output voltage

waveforms are plotted in a graph sheet.

PIN DIAGRAM:

CIRCUIT DIAGRAM OF INVERTING AMPLIFIER:

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DESIGN:

We know for an inverting Amplifier ACL = RF / R1

Assume R1 ( approx. 10 KΩ ) and find Rf

Hence Vo = - ACL Vi

OBSERVATIONS:

S.No Input Output

Practical Theoretical

1. Amplitude

( No. of div x Volts per div )

2. Time period

( No. of div x Time per div )

MODEL GRAPH:

(V)

Vin

Vo

(V)

t(sec)

t(sec)

Inverting amp

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b. NON - INVERTING AMPLIFIER

AIM:

To design a Non-Inverting Amplifier for the given specifications using Op-Amp IC 741.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Function Generator 3 MHz 1

2. CRO 30 MHz 1

3. Dual RPS 0 – 30 V 1

4. Op-Amp IC 741 1

5. Bread Board 1

6. Resistors As required

7. Connecting wires and probes As required

PROCEDURE:

1. Connections are given as per the circuit diagram.

2. + Vcc and - Vcc supply is given to the power supply terminal of the Op-Amp IC.

3. By adjusting the amplitude and frequency knobs of the function generator,

appropriate input voltage is applied to the non - inverting input terminal of the Op-

Amp.

4. The output voltage is obtained in the CRO and the input and output voltage

waveforms are plotted in a graph sheet.

PIN DIAGRAM:

CIRCUIT DIAGRAM OF NON INVERITNG AMPLIFIER:

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DESIGN:

We know for a Non-inverting Amplifier ACL = 1 + ( RF / R1)

Assume R1 ( approx. 10 KΩ ) and find Rf

Hence Vo = ACL Vi

OBSERVATIONS:

S.No Input Output

Practical Theoretical

1. Amplitude

( No. of div x Volts per div )

2. Time period

( No. of div x Time per div )

MODEL GRAPH:

(V)

Vin

Vo

(V)

t(sec)

t(sec)

Non-Inverting amp

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c. DIFFERENTIATOR

AIM:

To design a Differentiator circuit for the given specifications using Op-Amp IC 741.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Function Generator 3 MHz 1

2. CRO 30 MHz 1

3. Dual RPS 0 – 30 V 1

4. Op-Amp IC 741 1

5. Bread Board 1

6. Resistors

7. Capacitors

PIN DIAGRAM:

CIRCUIT DIAGRAM OF DIFFERENTIATOR:

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DESIGN :

[ To design a differentiator circuit to differentiate an input signal that varies in

frequency from 10 Hz to about 1 KHz. If a sine wave of 1 V peak at 1000Hz is applied to

the differentiator , draw its output waveform.]

Given fa = 1 KHz

We know the frequency at which the gain is 0 dB, fa = 1 / (2π Rf C1)

Let us assume C1 = 0.1 µF ; then

Rf = _________

Since fb = 20 fa , fb = 20 KHz

We know that the gain limiting frequency fb = 1 / (2π R1 C1)

Hence R1 = _________

Also since R1C1 = Rf Cf ; Cf = _________

Given Vp = 1 V and f = 1000 Hz, the input voltage is Vi = Vp sin ωt

We know ω = 2πf

Hence Vo = - Rf C1 ( dVi /dt )

= - 0.94 cos ωt

PROCEDURE:

1. Connections are given as per the circuit diagram.

2. + Vcc and - Vcc supply is given to the power supply terminal of the Op-Amp IC.

3. By adjusting the amplitude and frequency knobs of the function generator,

appropriate input voltage is applied to the inverting input terminal of the Op-Amp.

4. The output voltage is obtained in the CRO and the input and output voltage

waveforms are plotted in a graph sheet.

OBSERVATIONS:

S.No Input Output

1. Amplitude

( No. of div x Volts per div )

2. Time period

( No. of div x Time per div )

MODEL GRAPH:

IV

Vin

Vo

t

t

-IV

Model graph

2V

-2V

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d. INTEGRATOR

AIM:

To design an Integrator circuit for the given specifications using Op-Amp IC 741.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Function Generator 3 MHz 1

2. CRO 30 MHz 1

3. Dual RPS 0 – 30 V 1

4. Op-Amp IC 741 1

5. Bread Board 1

6. Resistors

7. Capacitors

8. Connecting wires and probes As required

PIN DIAGRAM:

CIRCUIT DIAGRAM OF INTEGRATOR:

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DESIGN:

[ To obtain the output of an Integrator circuit with component values R1Cf = 0.1ms , Rf = 10

R1 and Cf = 0.01 µF and also if 1 V peak square wave at 1000Hz is applied as input.]

We know the frequency at which the gain is 0 dB, fb = 1 / (2π R1 Cf)

Therefore fb = _____

Since fb = 10 fa , and also the gain limiting frequency fa = 1 / (2π Rf Cf)

We get , R1 = _______ and hence Rf = __________

PROCEDURE:

1. Connections are given as per the circuit diagram.

2. + Vcc and - Vcc supply is given to the power supply terminal of the Op-Amp IC.

3. By adjusting the amplitude and frequency knobs of the function generator,

appropriate input voltage is applied to the inverting input terminal of the Op-Amp.

4. The output voltage is obtained in the CRO and the input and output voltage

waveforms are plotted in a graph sheet.

OBSERVATIONS:

S.No Input Output

1. Amplitude

( No. of div x Volts per div )

2. Time period

( No. of div x Time per div )

MODEL GRAPH:

Vin

Vo

t

t

Model graph

t

t

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e. Summing Amplifier: [Inverting]

Design: R1=R2=R3=R & R = Rf = 4.7KΩ; RL = 10 KΩ; RCOMP = R1 || R2 || R3 || Rf

VO = - Rf / R [V1+V2+V3]

Circuit Diagram

V2

V1 +12V

+

-

IC 7413

26

74

RL

Vo = - Rf/R [V1+V2+V3]

R2

Rom

Rf

-12V

V3

R1

0

R3

RCOMP

Page 53: Lic Lab Manual 2013

f. Schmitt Trigger (comparator):

Design : VCC = 12 V; VSAT

VUT = + [VSAT R2] / [R1+R2] & V

Circuit Diagram

Model Graph

Vin

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Schmitt Trigger (comparator):

SAT = 0.9 VCC; R1= 47KΩ; R2 = 120Ω

] & VLT = - [VSAT R2] / [R1+R2] & HYSTERSIS [H] =

+12V

R1

-12V

R2

0

+

-

3

26

74

RL = 10K

] & HYSTERSIS [H] = VUT - VLT

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g. Voltage Follower (Slew rate verifications):

Design:

Vin = Vout [Unity Gain] & Rin = ∞ & Rf = 0

Circuit Diagram

-12V

Vo

+

-

U1

IC 7413

26

74

I1

1V/1KHz

0

+12V

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Procedure

1. Connect the circuit as shown in the circuit

2. Set the input voltage as 5V (p-p) at 1KHz. (Input should be always less than Vcc)

3. Note down the output voltage at CRO

4. To observe the phase difference between the input and the output, set the CRO in dual

Mode and switch the trigger source in CRO to CHI.

5. Plot the input and output waveforms on the graph.

Observation:

Peak to peak amplitude of the output = Volts.

Frequency = Hz.

Upper threshold voltage = Volts.

Lower threshold voltage = Volts.

Result

Thus Applications of op-amp were studied.

Expt. 8 TIMER IC APPLICATIONS

a. ASTABLE MULTIVIBRATOR

AIM:

To design an Astable multivibrator circuit for the given specifications using 555 Timer IC.

APPARATUS REQUIRED:

S.No Name of the Apparatus Range Quantity

1. Function Generator 3 MHz 1

2. CRO 30 MHz 1

3. Dual RPS 0 – 30 V 1

4. Timer IC IC 555 1

5. Bread Board 1

6. Resistors

7. Capacitors

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8. Connecting wires and probes As required

PIN DIAGRAM:

CIRCUIT DIAGRAM OF ASTABLE MULTIVIBRATOR

DESIGN:

[ To design an astable multivibrator with 65% duty cycle at 4 KHz frequency, assume C=

0.01 µF]

Given f= 4 KHz,

Therefore, Total time period, T = 1/f = ____________

We know, duty cycle = tc / T

Therefore, tc = ------------------------

and td = ____________

We also know for an astable multivibrator

td = 0.69 (R2) C

Therefore, R2 = _____________

tc = 0.69 (R1 + R2) C

Therefore, R1 = _____________

PROCEDURE:

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1. Connections are given as per the circuit diagram.

2. + 5V supply is given to the + Vcc terminal of the timer IC.

3. At pin 3 the output waveform is observed with the help of a CRO

4. At pin 6 the capacitor voltage is obtained in the CRO and the V0 and Vc voltage

waveforms are plotted in a graph sheet.

OBSERVATIONS:

S.No

Amplitude

( No. of div x

Volts per div )

Time period

( No. of div x

Time per div )

tc td

1.

Output Voltage , Vo

2.

Capacitor voltage , Vc

MODEL GRAPH:

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RESULT:

The design of the Astable multivibrator circuit was done and the output voltage and capacitor

voltage waveforms were obtained.

b. MONOSTABLE MULTIVIBRATOR

AIM:

To design a monostable multivibrator for the given specifications using 555 Timer IC.

APPARATUS REQUIRED:

Voltage in volts

Voltage across the capacitor

t(mse)

vo

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S.No Name of the Apparatus Range Quantity

1. Function Generator 3 MHz, Analog 1

2. CRO 30 MHz 1

3. Dual RPS 0 – 30 V 1

4. Timer IC IC 555 1

5. Bread Board 1

6. Resistors

7. Capacitors

8. Connecting wires and probes As required

PIN DIAGRAM:

CIRCUIT DIAGRAM OF MONOSTABLE MULTIVIBRATOR:

DESIGN:

[ To design a monostable multivibrator with tp = 0.616 ms , assume C = 0.01 µF ]

Given tp = 0.616 ms = 1.1 R1 C

Therefore, R1 = _____________

PROCEDURE:

1. Connections are given as per the circuit diagram.

2. + 5V supply is given to the + Vcc terminal of the timer IC.

3. A negative trigger pulse of 5V, 2 KHz is applied to pin 2 of the 555 IC

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4. At pin 3 the output waveform is observed with the help of a CRO

5. At pin 6 the capacitor voltage is obtained in the CRO and the V0 and Vc voltage

waveforms are plotted in a graph sheet.

OBSERVATIONS:

S.No

Amplitude

( No. of div x

Volts per div )

Time period

( No. of div x

Time per div )

ton toff

1.

Trigger input

2.

Output Voltage , Vo

3.

Capacitor voltage , Vc

MODEL GRAPH:

RESULT:

The design of the Monostable multivibrator circuit was done and the input and output

waveforms were obtained.

EX.No. 9 DAC and ADC Converters

a. DAC CONVERTERS

Vin

VC

VO

Vsat

Vββββsat

VD

t

t

t

T–V sat

TP

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Aim:-

To design R-2R ladder type DAC using op-amp.

Components Required:-

S.No Components Range Quantity

1. Op-amp IC 741 1

2. Resistors 10KΩ,20KΩ 1

3. DPDT(switch) 1

4. Dual Tracking Supply (0-30)V 1

5. Voltage Source (0-30)V 1

Circuit Diagram: 4-Bit R/2R Ladder DAC:

Design:-

Output voltage,

+++−=

42

432

322

212

1bbbb

R

fR

RVoV

Binary value=1000(given)

Output voltage=6v (given)

Reference resistor =10KΩ (given)

Reference Voltage, VR=10V (given)

∴ Rf =12kΩ

Resolution,

f

RR

RV

nV ××=

2

1

Ω×Ω

×= kk

VV 12

10

10

42

1

2R

R

+

-LM741C3

26

7 14 5

2R

R

2R

VR

2R

R

Rf =12k

R

Vo

2R

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75.0=V

Procedure:-

1. Connections are given as per the circuit diagram.

2. The power supply is switched on.

3. Reference voltage is set as 10V.

4. Binary values are applied according to the binary input values.

5. The output voltage is noted down.

6. The output voltage obtained is compared with the given output voltage.

Result:-

Thus the R-2R ladder type DAC was designed using Op-amp.

b. ADC CONVERTORS

Page 63: Lic Lab Manual 2013

Aim:-

To design Flash type ADC and Successive approximation type ADC using op

Components Required:-

S.No Components

1. Op-amp

2. Resistors

3. DPDT(switch)

4. Dual Tracking Supply

5. Voltage Source

Circuit diagram: Flash ADC

Circuit diagram:

Successive approximation ADC

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To design Flash type ADC and Successive approximation type ADC using op

Range Quantity

IC 741

10KΩ,20KΩ

Supply (0-30)V

(0-30)V

Flash ADC

approximation ADC

To design Flash type ADC and Successive approximation type ADC using op-amp.

Quantity

1

1

1

1

1

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Procedure:-

1. Connections are given as per the circuit diagram.

2. The power supply is switched on.

3. Reference voltage is set as 10V.

4. Binary values are applied according to the binary input values.

5. The output voltage is noted down.

6. The output voltage obtained is compared with the given output voltage.

Result:-

Thus the ADC circuits were designed using Op-amp.

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EX.No. 10 Study of PLL and VCO characteristics

a. Voltage to frequency characteristics of VCO

Aim:

To study the voltage to frequency characteristics of VCO

Circuit diagram

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b. Frequency multiplication Of PLL IC

Aim: To study the Frequency multiplication of PLL IC.

Circuit diagram

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Result:

Thus the PLL and VCO characteristics were studied.

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