NAND gate

A NAND gate is a logic gate used to build digital logic circuits.
It is a combination of an AND and NOT gate.
The name refers to this.
The NAND gate is a “universal gate”, that means all other types of logic gates can be obtained by wiring exclusively one or more NAND gates in a particular manner.

 Behavior 
Given two inputs, A and B, A NAND B will be true if at most one of A and B is true.
In other words, A NAND B is false if both A and B are true, and true otherwise. 

INPUT  OUTPUT A  B  A ⊼ B 0  0  1 0  1  1 1  0  1 1  1  0

 Symbols 
There are three symbols for drawing NAND gates in electrical circuit schematics:
the "distinctive shape" symbol, the “military” symbol, and the “rectangular” symbol.
For more information see logic gate symbols.

 Application 
Since a NAND gate is a universal gate, microprocessors can be built using this type of gate only.
For example:
 the negation can be represented by ¬A ≡ A ⊼ A
 and the disjunction can be obtained by A ∨ B ≡ (A ⊼ A) ⊼ (B ⊼ B)

Category:Logic gates