Different types of logic gates | CHAPTER 9 | Computer and Information Technology

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Different types of logic gates

Digital systems are said to be constructed by using logic gates. These gates are the

  • AND,
  • OR,
  • NOT,
  • NAND,
  • NOR
  • EXOR and

The basic operations are described below with the aid of truth tables.

1. AND Gate

  • Two or more input signals and one output signal.
  • Output is high when both the inputs are high.
  • Logic equation Y = A. B called as Boolean equation.
  • Where A & B are the inputs and Y is the output for all standard symbols of gates shown below.

Y = AND B AND C……. N
Y = A.B.C……. N

Logic Diagram/Symbol

Different types of logic gates

Truth Table
INPUTOUTPUT
ABA.B
000
010
010
100
111

 

2. OR Gate

  • Two or more input signals and one output signal.
  • Output is low when both the inputs are low.
  • Logic equation Y = A + B.

Y = A OR BORC……. N
Y = A+B+C……. N

 

Logic diagram/Symbol

Truth Table
INPUTOUTPUT
ABA.B
000
011
101
111

 

3. NOT Gate

  • One input signal and one output signal, also called as inverter.
  • Output is always opposite state of the input.
  • Logic equation Y = A
  • Where is A is the complement of A.

y = NOTA
y = A‾

 

Logic Diagram/Symbol

 

Truth Table
INPUTOUTPUT
AA‾
01
10

 

4. NAND Gate

  • Two or more input signals and one out signal.
  • It has high output when at least one of the input is zero or low.
  • All input signals must be high to obtain low output.
  • Logic equation Y = A. B

Y = A NOT AND B NOT AND CN
Y = A NAND B NAND C……. N

Logic Diagram/Symbol

 

 

 

Truth Table
INPUTOUTPUT
ABA.B‾
001
011
101
110

 

5. NOR Gate

  • One or more input signals and one output signal.
  • If one of the input is high then output is low
  • Logic equation Y = A + B

Y = A NOT OR B NOT OR C…….N
Y = A NOR B NOR C…….N.

Logic Diagram/Symbol

 

Truth Table
INPUTOUTPUT
ABA.B
001
010
100
110

 

6. EXOR Gate

  • Two or more input signal and one output signal.
  • Output is low when both the inputs are same.
  • Logic equation Y = A XOR B

Y = XOR B XORC……. N

Y = ABC……N

 

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Logic Diagram/Symbol

 

Truth Table
INPUTOUTPUT
ABA+B
000
011
101
110

 

 

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