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G.VINOTHINI M.SC.,M.PHIL.,
DEPARTMENT OF INFORMATION TECHONOLOGY,
BON SECOURS COLLEGE FOR WOMEN,
THANJAVUR.
WELCOME TO ALL
LOGICGATES AND CIRCUITS
unit-2
GATESANDTRUTHTABLE
A Gate can thus be defined as a logic circuit with
one output and one or more inputs.
A truth table is a table that shows all the input-
output possibilities of a logic circuit. each possible
input combination of bits 0 and 1 can be examined
to determined the output.
• Logic gate voltages-high and low,
• A low voltage will mean a binary 0,and a high voltage will mean
a binary 1.
BASICLOGICGATES
AND
OR
NOTNAND
NOR
Andgate
 An AND gate is a digital
logic gate with two or more inputs
and one output that performs logical
conjunction.
orgate
 An OR gate is a digital logic gate with
two or more inputs and one output
that performs logical disjunction.
notgate
 NOT gate is also called an inverter.
 The NOT gate has only one input and
one output.
 The symbol for the inverter is
nand gate
 The NAND gate is the combination of
AND & NOT gates.
 To realize a NAND gate, an AND gate
is connected to an inverter.
 The inputs A ad B are AND to form
the Boolean expression AB.
 The AB is then inverted by the NOT
gate.
 Y=AB.
norgate
 The NOR gate is the combination of
OR and NOT gate.
 To realize a NOR gate, an inverter is
connected to the output of an OR
gate.
 The Boolean expression at the input
to the inverter is therefore A+B.
 Y=A+B.
exclusive-orgate
 The exclusive-OR term is often
shorted to read XOR.
 It has two inputs and one output.
 Y=AB+AB
 When A=0 and B=0
 Y=0.0+0.0=1.0+0+1=0+0 0
APPLICATIONSOFXORGATE
Parity checker
6-bit binary to
gray converter
Controlled
inverter
Parity checker
 One of applications of the XOR gates
lies in testing the parity of words.
 Even the parity means a word with an
even number of 1s.
 For example , the word 1001 has an
even parity because it contains two
1s.
6-bitbinarytogray converter
 A Binary to gray code converter : the
input binary word is ABCDEF and the
output gray code number is
Y1Y2Y3Y4Y5Y6.
 If the output word is 100110.
Controlledinverter
 Sometimes called a programmed
inverter
 When INVERTER Is low ,it transmits
the register word to the output.
 But when INVERTER is high it
transmits the 1s complement of the
register word.
 For example , if the register contains
A5A4A3A2A1A0=110011 , Then a low
INVERTER produces.
EXCLUSIVE-NORGATE
 An XNOR gate (sometimes referred to
by its extended name, Exclusive
NOR gate) is a digital logic gate with
two or more inputs and one output
that performs logical equality.
 The output of an XNOR gate is true
when all of its inputs are true or when
all of its inputs are false
Positiveandnegativelogicgates
Positive logic gate Negative logic gate
 In this state , 1 (also
called true or ON) is
considered to be the
more positive voltage
level . Ex- +5V
 The state , 0 (also
called false or OFF) is
assigned to the less
positive level of a
digital circuits. Ex- 0V
 In this state , 1 (also
called true or ON) is
considered to be the
less positive voltage
level . Ex- 0V
 The state , 0 (also
called false or OFF) is
corresponds to the
more positive voltage
level of a digital
circuits. Ex- +5V
LOGICCHARACTERISTICS
The two currently available logic
families (bipolar and MOS families)
posses different characteristics,
Speed
Fan- in
Fan- out
Noise immunity
Power dissipation
Logic characteristics
Bipolarlogicfamilies
Resister - transistor logic(RTL)
Diode - transistor logic(DTL)
Transistor - Transistor
logic(TTL)
Totem - pole output
Flowchat
Logicfamilies
integralcircuits
 When integrated circuits are used ,
one or more complete gates or other
circuits are packaged in single
integrated- circuit (IC) container.
Logic Gates and Circuits Explained

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Logic Gates and Circuits Explained

  • 1. G.VINOTHINI M.SC.,M.PHIL., DEPARTMENT OF INFORMATION TECHONOLOGY, BON SECOURS COLLEGE FOR WOMEN, THANJAVUR. WELCOME TO ALL
  • 3. GATESANDTRUTHTABLE A Gate can thus be defined as a logic circuit with one output and one or more inputs. A truth table is a table that shows all the input- output possibilities of a logic circuit. each possible input combination of bits 0 and 1 can be examined to determined the output. • Logic gate voltages-high and low, • A low voltage will mean a binary 0,and a high voltage will mean a binary 1.
  • 5. Andgate  An AND gate is a digital logic gate with two or more inputs and one output that performs logical conjunction.
  • 6. orgate  An OR gate is a digital logic gate with two or more inputs and one output that performs logical disjunction.
  • 7. notgate  NOT gate is also called an inverter.  The NOT gate has only one input and one output.  The symbol for the inverter is
  • 8. nand gate  The NAND gate is the combination of AND & NOT gates.  To realize a NAND gate, an AND gate is connected to an inverter.  The inputs A ad B are AND to form the Boolean expression AB.  The AB is then inverted by the NOT gate.  Y=AB.
  • 9.
  • 10. norgate  The NOR gate is the combination of OR and NOT gate.  To realize a NOR gate, an inverter is connected to the output of an OR gate.  The Boolean expression at the input to the inverter is therefore A+B.  Y=A+B.
  • 11.
  • 12. exclusive-orgate  The exclusive-OR term is often shorted to read XOR.  It has two inputs and one output.  Y=AB+AB  When A=0 and B=0  Y=0.0+0.0=1.0+0+1=0+0 0
  • 13.
  • 14. APPLICATIONSOFXORGATE Parity checker 6-bit binary to gray converter Controlled inverter
  • 15. Parity checker  One of applications of the XOR gates lies in testing the parity of words.  Even the parity means a word with an even number of 1s.  For example , the word 1001 has an even parity because it contains two 1s.
  • 16.
  • 17. 6-bitbinarytogray converter  A Binary to gray code converter : the input binary word is ABCDEF and the output gray code number is Y1Y2Y3Y4Y5Y6.  If the output word is 100110.
  • 18. Controlledinverter  Sometimes called a programmed inverter  When INVERTER Is low ,it transmits the register word to the output.  But when INVERTER is high it transmits the 1s complement of the register word.  For example , if the register contains A5A4A3A2A1A0=110011 , Then a low INVERTER produces.
  • 19. EXCLUSIVE-NORGATE  An XNOR gate (sometimes referred to by its extended name, Exclusive NOR gate) is a digital logic gate with two or more inputs and one output that performs logical equality.  The output of an XNOR gate is true when all of its inputs are true or when all of its inputs are false
  • 20.
  • 21. Positiveandnegativelogicgates Positive logic gate Negative logic gate  In this state , 1 (also called true or ON) is considered to be the more positive voltage level . Ex- +5V  The state , 0 (also called false or OFF) is assigned to the less positive level of a digital circuits. Ex- 0V  In this state , 1 (also called true or ON) is considered to be the less positive voltage level . Ex- 0V  The state , 0 (also called false or OFF) is corresponds to the more positive voltage level of a digital circuits. Ex- +5V
  • 22. LOGICCHARACTERISTICS The two currently available logic families (bipolar and MOS families) posses different characteristics, Speed Fan- in Fan- out Noise immunity Power dissipation
  • 24. Bipolarlogicfamilies Resister - transistor logic(RTL) Diode - transistor logic(DTL) Transistor - Transistor logic(TTL) Totem - pole output
  • 27. integralcircuits  When integrated circuits are used , one or more complete gates or other circuits are packaged in single integrated- circuit (IC) container.