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NAND Gate is an Universal Building Block

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Maharashtra State Board: Class 11

NAND Gate is an Universal Building Block

The NAND gate is versatile and can be used to build OR, AND, and NOT gates. All other gates can be constructed using one or more NAND gates, simplifying circuits.  We'll explore constructing various gates using only NAND gates.  

Construction of various gate using NAND 

Follow the same sequence of constructions: 

a) NOT using NAND: Short NAND inputs into one to convert it into a NOT gate.

 

b) AND using NAND: You can easily construct an AND gate by just inverting NAND output.

`bar bar (A•B) = A•B`

c)NOR using NAND: De-Morgan's theorem states that a bubbled AND is NOR. 

 

d) OR using NAND : Now you can invert the output of NOR.

 

e) EX-OR using NAND: This can be simplified by connecting the circuit

`Y= bar (A) •B + A•bar (B)`

 

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