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UNIVERSAL GATES
Universal Gate
 A universal gate is a gate which can implement any
Boolean function without need to use any other gate
type.
 The NAND and NOR gates are universal gates.
 In practice, this is advantageous since NAND and NOR
gates are economical and easier to fabricate and are the
basic gates used in all IC digital logic families.
2
NOR Gate
X Y Z
0 0 1
0 1 0
1 0 0
1 1 0
X
Y
YXYXZ 
3
NOR Gate as an Inverter Gate
X Z
0 1
1 0
X XZ 
XXX  (Before Bubble)
Equivalent to Inverter
4
NOR Gate as an OR Gate
X Y Z
0 0 0
0 1 1
1 0 1
1 1 1
X
Y
YXYXZ 
YX 
NOR Gate “Inverter”
Equivalent to OR Gate
5
NOR Gate as an AND Gate
X Y Z
0 0 0
0 1 0
1 0 0
1 1 1
Equivalent to AND Gate
X
Y
YXYXYXZ 
X
NOR Gate“Inverters”
Y
6
AND GATE USING NAND GATES
Universal gates electronic
Universal gates electronic

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Universal gates electronic

  • 2. Universal Gate  A universal gate is a gate which can implement any Boolean function without need to use any other gate type.  The NAND and NOR gates are universal gates.  In practice, this is advantageous since NAND and NOR gates are economical and easier to fabricate and are the basic gates used in all IC digital logic families. 2
  • 3. NOR Gate X Y Z 0 0 1 0 1 0 1 0 0 1 1 0 X Y YXYXZ  3
  • 4. NOR Gate as an Inverter Gate X Z 0 1 1 0 X XZ  XXX  (Before Bubble) Equivalent to Inverter 4
  • 5. NOR Gate as an OR Gate X Y Z 0 0 0 0 1 1 1 0 1 1 1 1 X Y YXYXZ  YX  NOR Gate “Inverter” Equivalent to OR Gate 5
  • 6. NOR Gate as an AND Gate X Y Z 0 0 0 0 1 0 1 0 0 1 1 1 Equivalent to AND Gate X Y YXYXYXZ  X NOR Gate“Inverters” Y 6
  • 7.
  • 8.
  • 9. AND GATE USING NAND GATES

Editor's Notes

  1. Introductory Slide / Overview of Presentation
  2. Overview of basic NOR gate : Logic Symbol, Logic Expression (using DeMorgan’s) and Truth Table.
  3. When you tie the inputs on a NOR gate together, the output will be the complement of the input.
  4. This one is easy to see, a NOR gate is in NOR gate with the output inverted. So if you invert the output again you will get an OR gate. Note we’re using a NOR gate for the inverter.
  5. This one is a bit harder to see. If you invert both the inputs of a NOR gate you will get an AND gate. Note we’re using NOR gates as inverters.