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ACKNOWLEDGEMENT
I wish to express my deep gratitude and
sincere thanks to the school Principal, Mr.
Shyam babu shukla for his encouragement and
provided facilities for this school project. I
sincerely appreciate his generosity by taking
me into his fold for which I shall remain
indebted to him. I extent my appreciation to Ms.
Archana ma’am, our physics teacher who
guided me to the successful competition of this
project. I take this opportunity to express my
deep sense of gratitude to her invaluable
guidance, ongoing encouragement, enormous
motivation, which has sustained my efforts at
all the stages of project development.
CONTENT
•INTRODUCTION
•THEORY
•BASICGATES
o ORgate
o ANDgate
o NOT gate
•NORgate
•NANDgate
•CONCLUSION
•BIBLIOGRAPHY
INTRODUCTION
GATE:-
A gate is defined as a digital circuit which
follows some logical relation ship between the
input and output voltages. It is a digital circuit
which either allows a signal to pass through or
stop the signal.
TRUTHTABLE:-
A logic gate may have one or more than one
inputs, But it has only one output.The
relationship between the possible values of
input and output voltages are expressed in the
formof a table called Truth table
BOOLEANALGEBRA:-
The algebra which is based on binary nature of
logic gates.
BOOLEANEXPRESSIONS:-
They are logical statement which are followed by
logical statement.
PRINCIPLEOF LOGICGATES
In this digital world of electronics, the
information is stored in the form of bits
(Binary). Certain arithmetical operations like
addition, subtraction, multiplication, and
division are to be performed on these
bits. The combination of ‘Arithmetic
Operation’ with certain ‘logic’ using binary
numbers was established by Leibniz. Further,
the electrical circuits of switching based on
vacuum tubes were designed. The invention
of relays replaced the ‘vacuum tubes’ in
switching circuits. Finally, all the inventions
lead to the destination of the logic gate.
As there was a step by step revolutions in
digital electronics, Konrad Zuse is the man
who was behind the development and the
design of ‘Electrochemical Logic Gate’. The
‘Boolean Algebra’ and the switching operation
from then on were carried out by the logic
gates.
Basic Gates
The OR Gate: -
It is a device that combines A and B to give Y as the
result. The OR gate has two or more inputs and one
output . In Boolean algebra, addition symbol (+), is
referred as the OR.
The Boolean expression: A+B=Y
This indicates that Y equals to A or B.
TRUTH TABLE
The ANDGate: -
It isa device that combinesAwith Btogive Y asthe
result. The ANDgate hastwoor more inputsand one
output . In Boolean algebra, multiplication sign isreferred
asthe AND.
The Boolean expression: A.B=Yor AXB=Y
Thisindicatesthat Y equalstoAand B.
TRUTHTABLE
The NOT Gate: -
It isa device that invertsthe inputs.The NOT hasone input
and hasone output . In Boolean algebra, bar symbol is
referred asthe NOT.
The Boolean expression: Z=A’
Thisindicatesthat Zisnot equal to A.
TRUTHTABLE
The NOR Gate
Aim:
TO DESIGN AND STIMULATE THE
NOR GATE CIRCUIT.
Component:
Two ideal p-n junction diode (D1 and D2).
An ideal n-p-n transistor
Theory and Construction:
If we connect the output Y’ of OR gate to the
input of a NOT gate, then the gate obtained is the
NOR gate. The output Y is voltage at C with
respect to earth.
In Boolean expression, the NOR gate is expressed
as:
The following inference can be easily drawn
fromthe working of electrical circuit:
(i) If the switch Aand Biskept open (A=0,
B=0) then bulb glows, hence Y=1.
(ii) If the switch Aiskept closed and Biskept
open (A=1, B=0) then the bulb glows,
Hence Y=0.
(iii) If the switch Aiskept open and Biskept
closed (A=0, B=1) then the bulb doesnot
glow, hence Y=0.
(iv) If the both switch Aand Bare kept closed
(A=1, B=1) then bulb doesnot glow, hence
Y=0.
The NAND Gate
Aim:
TO DESIGN AND STIMULATE THE NAND
GATE CIRCUIT.
Components:
Two ideal p-n junction diode (D1 and D2)
A resistance R
An ideal n-p-n transistor
Theory and Construction:
If we connect the output Y’ of the AND gate to
the input of a NOT gate then the gate obtained
is the NAND gate. The output Y is voltage at C
with respect to earth.
In Boolean expression, the NAND gate is expressed as:
The following inference can be easily drawn
fromthe working of circuit:
(i) If the switch Aand Bare kept closed (A=0,
B=0) then bulb glows, hence Y=1.
(ii) If the switch Aiskept open and Biskept
closed (A=0, B=1), then bulb glows, hence
Y=1
(iii) If switch Aiskept closed and Biskept
open (A=1, B=0), then bulb glows, hence
Y=1
(iv) If both switch Aand Bare kept closed
(A=1, B=1) then bulb doesnot glow, hence
Y=0.
CONCLUSION
INELECTRONICS, ALOGICGATEISANIDEALIZED
OVERPHYSICALDEVICEIMPLEMENTINGA
BOOLEANFUNCTION,THAT IS, IT PERFORMSA
LOGICALOPERATIONONONEORMORELOGICAL
INPUTSANDPRODUCESASINGLELOGICAL
OUTPUT,DEPENDINGONTHECONTEXT THETERM
MAY REFERTOANIDEALLOGICGATEORIT MAY
REFERTOANON-IDEALPHYSICALDEVICE.
WHENEVERTHEOCCURRENCEOFONEORMORE
THANONEEVENT ISNEEDEDTOBEDECTEDOR
SOMEACTIONSARETOBETAKENAFTERTHEIR
OCCURRENCE,INALLTHOSECASESORGATE
CANBEUSED.THEREAREMAINLY TWO
APPLICATIONSOFANDGATEASENABLEGATE
ANDINHIBIT GATE.NOT GATEINVERT THE
OUTPUT GIVENTOTHEMANDSHOWTHE
REVERSERESULT.
BIBLIOGRAPHY
WWW.GOOGLE.COM
HELPFORMMY TEACHERS
WWW.WIKIPEDIA.COM
I HAVETAKENHELPFORMSOMEBOOKS
THANK
YOU
BIBLIOGRAPHY
WWW.GOOGLE.COM
HELPFORMMY TEACHERS
WWW.WIKIPEDIA.COM
THANK
YOU

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LOGIC GATE ||CLASS 12 PHYSICS I

  • 1.
  • 2. ACKNOWLEDGEMENT I wish to express my deep gratitude and sincere thanks to the school Principal, Mr. Shyam babu shukla for his encouragement and provided facilities for this school project. I sincerely appreciate his generosity by taking me into his fold for which I shall remain indebted to him. I extent my appreciation to Ms. Archana ma’am, our physics teacher who guided me to the successful competition of this project. I take this opportunity to express my deep sense of gratitude to her invaluable guidance, ongoing encouragement, enormous motivation, which has sustained my efforts at all the stages of project development.
  • 3. CONTENT •INTRODUCTION •THEORY •BASICGATES o ORgate o ANDgate o NOT gate •NORgate •NANDgate •CONCLUSION •BIBLIOGRAPHY
  • 4. INTRODUCTION GATE:- A gate is defined as a digital circuit which follows some logical relation ship between the input and output voltages. It is a digital circuit which either allows a signal to pass through or stop the signal. TRUTHTABLE:- A logic gate may have one or more than one inputs, But it has only one output.The relationship between the possible values of input and output voltages are expressed in the formof a table called Truth table BOOLEANALGEBRA:- The algebra which is based on binary nature of logic gates. BOOLEANEXPRESSIONS:- They are logical statement which are followed by logical statement.
  • 5. PRINCIPLEOF LOGICGATES In this digital world of electronics, the information is stored in the form of bits (Binary). Certain arithmetical operations like addition, subtraction, multiplication, and division are to be performed on these bits. The combination of ‘Arithmetic Operation’ with certain ‘logic’ using binary numbers was established by Leibniz. Further, the electrical circuits of switching based on vacuum tubes were designed. The invention of relays replaced the ‘vacuum tubes’ in switching circuits. Finally, all the inventions lead to the destination of the logic gate. As there was a step by step revolutions in digital electronics, Konrad Zuse is the man who was behind the development and the design of ‘Electrochemical Logic Gate’. The ‘Boolean Algebra’ and the switching operation from then on were carried out by the logic gates.
  • 6. Basic Gates The OR Gate: - It is a device that combines A and B to give Y as the result. The OR gate has two or more inputs and one output . In Boolean algebra, addition symbol (+), is referred as the OR. The Boolean expression: A+B=Y This indicates that Y equals to A or B. TRUTH TABLE
  • 7. The ANDGate: - It isa device that combinesAwith Btogive Y asthe result. The ANDgate hastwoor more inputsand one output . In Boolean algebra, multiplication sign isreferred asthe AND. The Boolean expression: A.B=Yor AXB=Y Thisindicatesthat Y equalstoAand B. TRUTHTABLE
  • 8. The NOT Gate: - It isa device that invertsthe inputs.The NOT hasone input and hasone output . In Boolean algebra, bar symbol is referred asthe NOT. The Boolean expression: Z=A’ Thisindicatesthat Zisnot equal to A. TRUTHTABLE
  • 9. The NOR Gate Aim: TO DESIGN AND STIMULATE THE NOR GATE CIRCUIT. Component: Two ideal p-n junction diode (D1 and D2). An ideal n-p-n transistor Theory and Construction: If we connect the output Y’ of OR gate to the input of a NOT gate, then the gate obtained is the NOR gate. The output Y is voltage at C with respect to earth. In Boolean expression, the NOR gate is expressed as:
  • 10. The following inference can be easily drawn fromthe working of electrical circuit: (i) If the switch Aand Biskept open (A=0, B=0) then bulb glows, hence Y=1. (ii) If the switch Aiskept closed and Biskept open (A=1, B=0) then the bulb glows, Hence Y=0. (iii) If the switch Aiskept open and Biskept closed (A=0, B=1) then the bulb doesnot glow, hence Y=0. (iv) If the both switch Aand Bare kept closed (A=1, B=1) then bulb doesnot glow, hence Y=0.
  • 11. The NAND Gate Aim: TO DESIGN AND STIMULATE THE NAND GATE CIRCUIT. Components: Two ideal p-n junction diode (D1 and D2) A resistance R An ideal n-p-n transistor Theory and Construction: If we connect the output Y’ of the AND gate to the input of a NOT gate then the gate obtained is the NAND gate. The output Y is voltage at C with respect to earth. In Boolean expression, the NAND gate is expressed as:
  • 12. The following inference can be easily drawn fromthe working of circuit: (i) If the switch Aand Bare kept closed (A=0, B=0) then bulb glows, hence Y=1. (ii) If the switch Aiskept open and Biskept closed (A=0, B=1), then bulb glows, hence Y=1 (iii) If switch Aiskept closed and Biskept open (A=1, B=0), then bulb glows, hence Y=1 (iv) If both switch Aand Bare kept closed (A=1, B=1) then bulb doesnot glow, hence Y=0.
  • 13. CONCLUSION INELECTRONICS, ALOGICGATEISANIDEALIZED OVERPHYSICALDEVICEIMPLEMENTINGA BOOLEANFUNCTION,THAT IS, IT PERFORMSA LOGICALOPERATIONONONEORMORELOGICAL INPUTSANDPRODUCESASINGLELOGICAL OUTPUT,DEPENDINGONTHECONTEXT THETERM MAY REFERTOANIDEALLOGICGATEORIT MAY REFERTOANON-IDEALPHYSICALDEVICE. WHENEVERTHEOCCURRENCEOFONEORMORE THANONEEVENT ISNEEDEDTOBEDECTEDOR SOMEACTIONSARETOBETAKENAFTERTHEIR OCCURRENCE,INALLTHOSECASESORGATE CANBEUSED.THEREAREMAINLY TWO APPLICATIONSOFANDGATEASENABLEGATE ANDINHIBIT GATE.NOT GATEINVERT THE OUTPUT GIVENTOTHEMANDSHOWTHE REVERSERESULT.