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Prepared by
Gayithri Ashwathreddy
Assitant professor, SKC
AGENDA
Introduction to logic Gates
Types of Logic gates
Universal gates
Realization of basic Gates with Universal gates.
Implementation of logic gates with Boolean expressions
INTRODUCTION
A Digital Logic Gate is an electronic circuit which makes logical
decisions based on the combination of digital signals present on
its inputs.
Logic gates are the basic building blocks of any digital system.
 It is an electronic circuit having one or more than one input and
only one output.
The relationship between the input and the output is based on a
certain logic.
TYPES OF GATES
Basic gates
Derived Gates
AND GATE
 It has two or more input signal but only one output signal
 If all the input signal is high(1),then the output signal is 1(high)
otherwise it is zero(0)
OR GATE
 It has two or more input signal but only one output signal
 If any of the input signal is high(1),then the output signal is
1(high)
NOT GATE
 A NOT gate has only one input and one output.
 The output state is always the opposite of the input state.
 The output is sometimes called the complement (opposite) of the input.
 NOT gate is also called as INVERTER Gate, Because the output is not
same as the input
BUFFER GATE
 A Buffer gate has only one input and one output.
 The output state is remains as of the input state.
NAND GATE
 A NAND gate has two or more input signal but only one output signal.
 The NAND gate is a complemented of AND gate.
 The output of NAND gate will be 0 only when all inputs are 1 and output
will be 0 if any input represents a 0
 NAND is short form of NOT AND
NOR GATE
 NOR gate has two or more input signal but only one output signal.
 The NOR gate is a complemented of OR gate.
 The output of NOR gate will be 1 only when all inputs are 0and output will
be 0 if any input represents 1.
 NOR is short form of NOT-OR
EXCLUSIVE OR(XOR) GATE
 An exclusive-OR has two or more input signal but only one output signal.
 Exclusive-OR gate is different form of OR gate.
 XOR gate produces output 1 for only those input combinations that
have odd number of 1s.
 The output is 0 if there are even number of 1s in the input.
 The output is 1 if there are odd number of 1s in the input.
XNOR GATE
 The XNOR gate is complement of XOR gate.
 The output of XNOR is 1 only when the logic values of both X and Y is
same i.e. either both are equal to 1 or both are 0.
 Its output is 0 when its inputs are different.
UNIVERSAL GATES
Universal gates are gates which can be used to implement
all other gates.
This is useful as manufacturers only need to produce 1
type of universal gate to be able to use all other gates.
The universal gates are NOR and NAND.
REALIZATION OF ALL BASIC GATES USING NAND GATE
REALIZATION OF ALL BASIC GATES USING NOR GATE
IMPLEMENTATION WITH LOGIC GATES
Implementation with logic gatesx
F=x+yz
IMPLEMENTATION WITH LOGIC GATES
F=xyz+xyz+xy
IMPLEMENTATION WITH LOGIC GATES
F=xy+xz
TWO LEVEL IMPLEMENTATION
F1=y+xy+xyz 酷2=恰(霞+噛)(恰+霞+噛)
MULTILEVEL IMPLEMENTATION
Logic gates
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Logic gates

  • 2. AGENDA Introduction to logic Gates Types of Logic gates Universal gates Realization of basic Gates with Universal gates. Implementation of logic gates with Boolean expressions
  • 3. INTRODUCTION A Digital Logic Gate is an electronic circuit which makes logical decisions based on the combination of digital signals present on its inputs. Logic gates are the basic building blocks of any digital system. It is an electronic circuit having one or more than one input and only one output. The relationship between the input and the output is based on a certain logic.
  • 4. TYPES OF GATES Basic gates Derived Gates
  • 5. AND GATE It has two or more input signal but only one output signal If all the input signal is high(1),then the output signal is 1(high) otherwise it is zero(0)
  • 6. OR GATE It has two or more input signal but only one output signal If any of the input signal is high(1),then the output signal is 1(high)
  • 7. NOT GATE A NOT gate has only one input and one output. The output state is always the opposite of the input state. The output is sometimes called the complement (opposite) of the input. NOT gate is also called as INVERTER Gate, Because the output is not same as the input
  • 8. BUFFER GATE A Buffer gate has only one input and one output. The output state is remains as of the input state.
  • 9. NAND GATE A NAND gate has two or more input signal but only one output signal. The NAND gate is a complemented of AND gate. The output of NAND gate will be 0 only when all inputs are 1 and output will be 0 if any input represents a 0 NAND is short form of NOT AND
  • 10. NOR GATE NOR gate has two or more input signal but only one output signal. The NOR gate is a complemented of OR gate. The output of NOR gate will be 1 only when all inputs are 0and output will be 0 if any input represents 1. NOR is short form of NOT-OR
  • 11. EXCLUSIVE OR(XOR) GATE An exclusive-OR has two or more input signal but only one output signal. Exclusive-OR gate is different form of OR gate. XOR gate produces output 1 for only those input combinations that have odd number of 1s. The output is 0 if there are even number of 1s in the input. The output is 1 if there are odd number of 1s in the input.
  • 12. XNOR GATE The XNOR gate is complement of XOR gate. The output of XNOR is 1 only when the logic values of both X and Y is same i.e. either both are equal to 1 or both are 0. Its output is 0 when its inputs are different.
  • 13. UNIVERSAL GATES Universal gates are gates which can be used to implement all other gates. This is useful as manufacturers only need to produce 1 type of universal gate to be able to use all other gates. The universal gates are NOR and NAND.
  • 14. REALIZATION OF ALL BASIC GATES USING NAND GATE
  • 15. REALIZATION OF ALL BASIC GATES USING NOR GATE
  • 16. IMPLEMENTATION WITH LOGIC GATES Implementation with logic gatesx F=x+yz
  • 17. IMPLEMENTATION WITH LOGIC GATES F=xyz+xyz+xy
  • 18. IMPLEMENTATION WITH LOGIC GATES F=xy+xz
  • 19. TWO LEVEL IMPLEMENTATION F1=y+xy+xyz 酷2=恰(霞+噛)(恰+霞+噛)