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The Info List - Negated AND Gate



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In digital electronics , a NAND GATE (NEGATIVE-AND) 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 the AND gate
AND gate
. A LOW (0) output results only if both the inputs to the gate are HIGH (1); if one or both inputs are LOW (0), a HIGH (1) output results. It is made using transistors and junction diodes. By De Morgan\'s theorem , AB=A+B, and thus a N AND gate
AND gate
is equivalent to inverters followed by an OR gate
OR gate
.

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

Digital systems employing certain logic circuits take advantage of NAND's functional completeness.

The function NAND(a1, a2, ..., an) is logically equivalent to NOT(a1 AND a2 AND ... AND an).

CONTENTS

* 1 Symbols * 2 Hardware description and pinout

* 3 Implementations

* 3.1 Alternatives

* 4 See also * 5 References * 6 External links

SYMBOLS

There are three symbols for NAND gates: the MIL/ ANSI
ANSI
symbol, the IEC symbol and the deprecated DIN
DIN
symbol sometimes found on old schematics. For more information see logic gate symbols . The ANSI symbol for the N AND gate
AND gate
is a standard AND gate
AND gate
with an inversion bubble connected.

MIL/ ANSI
ANSI
Symbol IEC Symbol DIN
DIN
Symbol

HARDWARE DESCRIPTION AND PINOUT

NAND gates are basic logic gates, and as such they are recognised in TTL and CMOS
CMOS
ICs . This schematic diagram shows the arrangement of NAND gates within a standard 4011 CMOS
CMOS
integrated circuit.

IMPLEMENTATIONS

The N AND gate
AND gate
has the property of functional completeness . That is, any other logic function (AND, OR, etc.) can be implemented using only NAND gates. An entire processor can be created using NAND gates alone. In TTL ICs using multiple-emitter transistors , it also requires fewer transistors than a NOR gate.

NMOS N AND gate
AND gate
PMOS N AND gate
AND gate
CMOS
CMOS
N AND gate
AND gate
TTL N AND gate
AND gate
The physical layout of a CMOS
CMOS
NAND Die of a 74AHC00D quad 2-input N AND gate
AND gate
manufactured by NXP Semiconductors

ALTERNATIVES

If no specific NAND gates are available, one can be made from NOR gates, because NAND and NOR gates are considered the "universal gates", meaning that they can be used to make all the other gates.

DESIRED GATE NOR CONSTRUCTION

SEE ALSO

* AND gate
AND gate
* OR gate
OR gate
* NOT gate * N OR gate
OR gate
* X OR gate
OR gate
* XN OR gate
OR gate
* Boolean algebra
Boolean algebra
* Logic gate * NAND logic * Digital electronics
Digital electronics

REFERENCES

* ^ A B M