Beginner Gates

Suppose only NAND gates are provided, what is the minimum number of NAND gates required to build an AND gate?


The answer is 2.

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1 solution

Chew-Seong Cheong
Nov 27, 2015

As AND = AND \overline{\overline{\text{AND}}} = \text{AND} or NOT(NAND) = AND \text{NOT(NAND)}=\text{AND} , we can build an AND \text{AND} gate with a NAND \text{NAND} gate in series with a NOT \text{NOT} gate. And we can build a NOT \text{NOT} gate by connecting the two inputs of a NAND \text{NAND} gate together. Therefore, we need only 2 \boxed{2} NAND \text{NAND} gates to build an AND \text{AND} gate as follows.

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