DIGITAL TECHNIQUES
DR. VIKAS DONGRE
HOD ELECTRONICS &TELECOMMUNICATION
GOVERNMENT POLYTECHNIC WASHIM (MS)
EMAIL: DONGREVJ1@GMAIL.COM
M: 9370668979
UNIT2: Logic Gates and Boolean algebra
Subtopic: Logic Gates
AND gate
• The AND gate has the above symbol and truth table.
• Two or more input bits produce one output bit.
• All inputs must be true (1) for the output to be true.
• Otherwise the output is false (0).
A B
Input
0 / 1
0
1
OUTPUT
7408- Quad 2 input AND Gate
A B Y
0 0 0
0 1 0
1 0 0
1 1 1
Y=A.B
• The OR gate has the following symbol and truth table.
• Two or more input bits produce one output bit.
• Either inputs must be true (1) for the output to be true.
OR gate
A B Y
0 0 0
0 1 1
1 0 1
1 1 1
7432- Quad 2 input OR Gate
• The NOT gate (or inverter)
• The simplest possible gate is called an "inverter" or a NOT gate.
• One bit as input produces its opposite as output.
• The symbol for a NOT gate is shown below.
• The truth table for the NOT gate shows input and output.
7404- HEX Inverter
A Y
0 1
1 0
What happens when you add a NOT
to an AND gate?
A B Y X
0 0 0 1
0 1 0 1
1 0 0 1
1 1 1 0
Y
NAND gate
A B Y
0 0 1
0 1 1
1 0 1
1 1 0
7400- Quad 2 input NAND Gate
What happens when you add a NOT
to an OR gate?
A B X
0 0 1
0 1 0
1 0 0
1 1 0
• The NOR gate
A B Y
0 0 1
0 1 0
1 0 0
1 1 0
7402- Quad 2 input NOR Gate
Exclusive OR gate
• Exclusive OR gate are true if either input is true but not both.
• The Symbol and Truth Table is shown below.
• Output will be high for different inputs
• In general output is high when ODD number of inputs are
high
3 Input X-OR Gate
A B C Y
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 0
1 1 1 1
Y=AΘBΘC
A B Y
0 0 0
0 1 1
1 0 1
1 1 0
7486- Quad 2 input XOR Gate
Exclusive NOR gate
• The Symbol and Truth Table is shown below.
• Output will be high for same inputs
• In general output is high when EVEN number of
inputs are high
A B Y
0 0 1
0 1 0
1 0 0
1 1 1
74266- Quad 2 input X-NOR Gate
A B C Y
0 0 0 1
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 0
1 0 1 1
1 1 0 1
1 1 1 0
3 Input X-NOR Gate
Assignment:
State IC Number, draw symbol, pin diagram and truth table of
AND, OR, NOT, NAND, NOR,XOR, XNOR GATES
Thank you
DR. VIKAS DONGRE
HOD ELECTRONICS &TELECOMMUNICATION
GOVERNMENT POLYTECHNIC WASHIM (MS)
EMAIL: DONGREVJ1@GMAIL.COM
M: 9370668979
Introduction to digital logic gates
Introduction to digital logic gates

Introduction to digital logic gates

  • 1.
    DIGITAL TECHNIQUES DR. VIKASDONGRE HOD ELECTRONICS &TELECOMMUNICATION GOVERNMENT POLYTECHNIC WASHIM (MS) EMAIL: DONGREVJ1@GMAIL.COM M: 9370668979 UNIT2: Logic Gates and Boolean algebra Subtopic: Logic Gates
  • 2.
    AND gate • TheAND gate has the above symbol and truth table. • Two or more input bits produce one output bit. • All inputs must be true (1) for the output to be true. • Otherwise the output is false (0). A B Input 0 / 1 0 1 OUTPUT
  • 3.
    7408- Quad 2input AND Gate A B Y 0 0 0 0 1 0 1 0 0 1 1 1 Y=A.B
  • 4.
    • The ORgate has the following symbol and truth table. • Two or more input bits produce one output bit. • Either inputs must be true (1) for the output to be true. OR gate
  • 5.
    A B Y 00 0 0 1 1 1 0 1 1 1 1 7432- Quad 2 input OR Gate
  • 6.
    • The NOTgate (or inverter) • The simplest possible gate is called an "inverter" or a NOT gate. • One bit as input produces its opposite as output. • The symbol for a NOT gate is shown below. • The truth table for the NOT gate shows input and output.
  • 7.
  • 8.
    What happens whenyou add a NOT to an AND gate? A B Y X 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 Y
  • 9.
  • 10.
    A B Y 00 1 0 1 1 1 0 1 1 1 0 7400- Quad 2 input NAND Gate
  • 11.
    What happens whenyou add a NOT to an OR gate? A B X 0 0 1 0 1 0 1 0 0 1 1 0
  • 12.
  • 13.
    A B Y 00 1 0 1 0 1 0 0 1 1 0 7402- Quad 2 input NOR Gate
  • 14.
    Exclusive OR gate •Exclusive OR gate are true if either input is true but not both. • The Symbol and Truth Table is shown below. • Output will be high for different inputs • In general output is high when ODD number of inputs are high
  • 15.
    3 Input X-ORGate A B C Y 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 Y=AΘBΘC
  • 17.
    A B Y 00 0 0 1 1 1 0 1 1 1 0 7486- Quad 2 input XOR Gate
  • 18.
    Exclusive NOR gate •The Symbol and Truth Table is shown below. • Output will be high for same inputs • In general output is high when EVEN number of inputs are high
  • 20.
    A B Y 00 1 0 1 0 1 0 0 1 1 1 74266- Quad 2 input X-NOR Gate
  • 21.
    A B CY 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 3 Input X-NOR Gate
  • 22.
    Assignment: State IC Number,draw symbol, pin diagram and truth table of AND, OR, NOT, NAND, NOR,XOR, XNOR GATES
  • 23.
    Thank you DR. VIKASDONGRE HOD ELECTRONICS &TELECOMMUNICATION GOVERNMENT POLYTECHNIC WASHIM (MS) EMAIL: DONGREVJ1@GMAIL.COM M: 9370668979