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NAND gate

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NAND gate truth table
Input Output
A B A NAND B
0 0 1
0 1 1
1 0 1
1 1 0

A NAND (NOT AND) gate is a logic gate which produces an output which is false only if all its inputs are true; thus its output is complement to that of an AND gate. A LOW (0) output results only if all the inputs to the gate are HIGH (1); if any input is LOW (0), a HIGH (1) output results. A two-input NAND gate's logic may be expressed as AB=AB, making a NAND gate equivalent to inverters followed by an OR gate.

The NAND gate is significant because any Boolean function can be implemented by using any combination of NAND gates. This property is called "functional completeness". It shares this property with the NOR gate.

Symbols

ANSI Symbol

ANSI Symbol
ANSI Symbol

IEC Symbol

IEC Symbol
IEC Symbol

Integrated Circuits

Some common implementations of the NAND gate as integrated circuits:

Name Description
CMOS
4011 Quad 2-Input NAND gate
4012 Dual 4-Input NAND gate
4023 Triple 3-Input NAND gate
4068 Mono 8-Input NAND gate
TTL
74x00 Quad 2-Input NAND gate
74x10 Triple 3-Input NAND gate
74x20 Dual 4-Input NAND gate
74x30 Mono 8-Input NAND gate

See also