1. NASHIKCAMBRIDGESCHOOL
(Affiliated to CBSE, Delhi Up to Senior Sec Level)
NASHIK
ACADEMIC YEAR: 2012-2013
A PROJECT REPORT ON
“DESIGNING AN APPROPRAITE LOGIC GATE
COMBINATION FOR GIVEN TRUTH TABLE”
BY:-
TEJASWINI AHIRE
Under the Guidance of
Ms.SAPNA PANDEY

2. DEPARTMENT OF PHYSICS
E- MAIL:nashikcambridge2004@rediffmail.comTELEPHONE NO. : 0253-23776382377639
NASHIK CAMBRIDGE SCHOOL
(Affiliated to CBSE, Delhi up to Sr. Secondary Level)
C e r t i f i c a t e
This is to certify that the project report entitled
“DESIGNING ANAPPROPRAITELOGICGATECOMBINATIONFORGIVEN TRUTH TABLE”
Has been successfully submitted by
TEJASWINI AHIRE
Projectguide Principal
Ms.Sapna Pandey Mr.C.Somu

3. ExternalExaminer
ACKNOWLEDGEMENT
We theclass XII students ofNasikCambridgeschoolwereabletopresent the
projectwork beforeyouwith the help of Head of department of Physics
Ms.Sapna&grateful &valuable contribution of our respected principal
Mr.C.Somu. Wealsoacknowledgethecontribution of theindividuals & staff
of our Physics Department

4. CONTENTS
INTRODUCTION
REQUIREMENTS
THEORY
PROCEDURE
RESULT
BIBLIOGRAPHY

5. INTRODUCTION:
Logic Gates:
 The digital circuitthat canbe analyzedwith
 the help of Boolean Algebra iscalledlogic
 Gateorlogiccircuit.
 A logic gate canhave two ormore inputs
 But onlyone output.
 There are 3fundamental logicgatesnamely
 OR gate,AND gate andNOTgate.

6. TruthTable:
 The operation ofa logicgateorcircuit can
 be representedin atable which containsall
 possibleinputsandtheir corresponding
 Outputsarecalleda truth table.
 If thereare ninputsin anylogic gate, then
 therewill be n2possibleinput
 Combinations.
 0 and1 inputsaretaken in the orderof
 ascendingbinarynumbersforeasy
 Understandingand analysis.
REQUIREMENTS:
 A batteryof 6V

7.  Two switches

8.  Torch bulb
 Connectingwires

9. THEORY:

12. (d) NOR gate:
The NOR gate is constructed by combining the OR gate and the NOT gate (OR + NOT =
NOR). Here the output of the OR gate is given as input to the NOT gate

13. w

14. PROCEDURE:
1. Write product termforeach input (minterm). Combination where
Booleanfunction hasinput 1. Whilewritingminterm, complement
thatvariablewhose valueis0 otherwisewriteit in direct form(without
complement).
2. Add alltheminterms to obtainthe Booleanfunction.
3. Draw thecircuit using BASIC LOGIC Gates.

16. Example:
(a).
X Y F MINTERM
0 0 1 x.y
0 1 0 -
1 0 0 -
1 1 1 x.y
The Booleanfunction F(X,Y) isobtainedas:

17. F(X, Y) =X.Y+X.Y
(b).
X Y Z F MINTERM
0 0 0 0 -
0 0 1 1 XYZ
0 1 0 1 XYZ
0 1 1 0 -
1 0 0 1 XYZ
1 0 1 0 -
1 1 0 1 XYZ
1 1 1 0 -

18. The Booleanfunction F(X,Y) isgiven as:
F(X, Y) =XYZ+XYZ+XYZ+XYZ
RESULT:
A logicgate isprepared from thegiven truthtable.

19. BIBLIOGRAPHY:
1.www.wikipedia.org3.
2.ComprehensivePracticalChemistryforClassXII