Sunday 21 October 2012

Universal Gate

Universal gate



Universal gate is a gate that can implement to any other Boolean function without use any other gate, like AND, OR, NOT, NAND, NOR. In this section, we will focus on NAND gate and NOR gate.


Why NAND/ NOR gate also are called universal gate?

This is because they can be implemented to others gate/function, so they called universal gate. Example NAND gate can used as NOT gate.


NAND gate

The name NAND is the contraction of NOT-AND.  The graphical symbol of NAND gate consists of AND gate symbol and a burble



The name NAND is the contraction of NOT-AND.(**High output=1,low output=0)
The truth table and symbol of the NAND gate is shown as below.


A
B
X
0
0
1
1
0
1
0
1
1
1
1
0
                     
                 

Implementing NOT using only NAND gate


Implementing AND gate using NAND gate



Implementing OR gate using NAND gate



Implementing NOR gate using only NAND gate






NOR gate
The name NOR is the abbreviation of  NOT-OR.
The grahical symbol for NOR gate consist of OR gate symbol and a burble .
The truth table and graphical symbol of NOR gate is shown below


A
B
X
0
0
1
1
0
1
0
1
1
0
0
0


Below have some example implemented

Implementing NOT gate using only NOR gate




Implementing AND gate using only NOR gate





Implementing OR gate using only NOR gate



Implementing NAND gate using NOR gate





Equivalent way to draw NAND/NOR gate
 A) NAND gate

       B) NOR gate



       Additon:




Kee Hwaai Sziang B031210067



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