Logic gate: Difference between revisions

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| {{yes2|1}} || {{no2|0}}
| {{yes2|1}} || {{no2|0}}
|}
|}
|-
|
|
|
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|-
|-
|[[AND gate]]
|[[AND gate]]
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|<math>A \cdot B</math> or <math>A \land B</math>
|<math>A \cdot B</math> or <math>A \land B</math>
|
|
{{Table alignment}}
{| class="wikitable defaultcenter"
|- style="background:#def;"
| colspan="2" |'''Input''' || '''Output'''
|- style="background:#def;"
| A || B || Q
|-
| {{no2|0}} || {{no2|0}} || {{no2|0}}
|-
| {{no2|0}} || {{yes2|1}} || {{no2|0}}
|-
| {{yes2|1}} || {{no2|0}} || {{no2|0}}
|- "
| {{yes2|1}} || {{yes2|1}} || {{yes2|1}}
|}
|-
|-
|[[OR gate]]
|[[OR gate]]
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|<math>A + B</math> or <math>A \lor B</math>
|<math>A + B</math> or <math>A \lor B</math>
|
|
{{Table alignment}}
{| class="wikitable defaultcenter"
|- style="background:#def;"
| colspan="2" |'''Input'''|| '''Output'''
|- style="background:#def"
| A || B || Q
|-
| {{no2|0}} || {{no2|0}} || {{no2|0}}
|-
| {{no2|0}} || {{yes2|1}} || {{yes2|1}}
|-
|-
|
| {{yes2|1}} || {{no2|0}} || {{yes2|1}}
|
|-
|
| {{yes2|1}} || {{yes2|1}} || {{yes2|1}}
|
|}
|-
|-
|[[NAND gate]]
|[[NAND gate]]
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|<math>\overline { A \cdot B }</math> or <math>\neg(A \land B)</math>
|<math>\overline { A \cdot B }</math> or <math>\neg(A \land B)</math>
|
|
{{Table alignment}}
{| class="wikitable defaultcenter"
|- style="background:#def;"
| colspan="2" |'''Input'''|| '''Output'''
|- style="background:#def;"
| A || B || Q
|-
| {{no2|0}} || {{no2|0}} || {{yes2|1}}
|-
| {{no2|0}} || {{yes2|1}} || {{yes2|1}}
|-
| {{yes2|1}} || {{no2|0}} || {{yes2|1}}
|-
| {{yes2|1}} || {{yes2|1}} || {{no2|0}}
|}
|-
|-
|[[NOR gate]]
|[[NOR gate]]
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|<math>\overline { A + B }</math> or <math>\neg(A \lor B)</math>
|<math>\overline { A + B }</math> or <math>\neg(A \lor B)</math>
|
|
{{Table alignment}}
{| class="wikitable defaultcenter"
|- style="background:#def;"
| colspan="2" |'''Input''' || '''Output'''
|- style="background:#def;"
| A || B || Q
|-
| {{no2|0}} || {{no2|0}} || {{yes2|1}}
|-
| {{no2|0}} || {{yes2|1}} || {{no2|0}}
|-
| {{yes2|1}} || {{no2|0}} || {{no2|0}}
|-
|-
|
| {{yes2|1}} || {{yes2|1}} || {{no2|0}}
|
|}
|
|
|-
|-
|[[XOR gate]]
|[[XOR gate]]
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|<math>A \oplus B</math> or <math>A \underline \lor B</math>
|<math>A \oplus B</math> or <math>A \underline \lor B</math>
|
|
{{Table alignment}}
{| class="wikitable defaultcenter"
|- style="background:#def;"
| colspan="2" |'''Input'''|| '''Output'''
|- style="background:#def;"
| A || B || Q
|-
| {{no2|0}} || {{no2|0}} || {{no2|0}}
|-
| {{no2|0}} || {{yes2|1}} || {{yes2|1}}
|-
| {{yes2|1}} || {{no2|0}} || {{yes2|1}}
|-
| {{yes2|1}} || {{yes2|1}} || {{no2|0}}
|}
|-
|-
|[[XNOR gate]]
|[[XNOR gate]]
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|<math>\overline { A \oplus B }</math> or <math>A \odot B</math>
|<math>\overline { A \oplus B }</math> or <math>A \odot B</math>
|
|
{{Table alignment}}
{| class="wikitable defaultcenter"
|- style="background:#def;"
| colspan="2" |'''Input'''|| '''Output'''
|- style="background:#def;"
| A || B || Q
|-
| {{no2|0}} || {{no2|0}} || {{yes2|1}}
|-
| {{no2|0}} || {{yes2|1}} || {{no2|0}}
|-
| {{yes2|1}} || {{no2|0}} || {{no2|0}}
|-
| {{yes2|1}} || {{yes2|1}} || {{yes2|1}}
|}
|}
|}
{{Stub}}
{{Stub}}
= See also =
* [[Combinational logic]]
* [[List of 4000 series integrated circuits]]
* [[List of 7400 series integrated circuits]]
* [[Logic level]]
{{Digital systems}}
[[Category:Logic gates]]
[[Category:Logic gates]]

Revision as of 14:47, 9 November 2023

A logic gate is an idealized or physical device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output.

Symbols

Type ANSI symbol Boolean algebra Truth table
Single-input gates
Buffer Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A}
Input Output
A Q
0 0
1 1
Inverter Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline A} or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \neg A}
Input Output
A Q
0 1
1 0
AND gate Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \cdot B} or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \land B}
Input Output
A B Q
0 0 0
0 1 0
1 0 0
1 1 1
OR gate Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A + B} or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \lor B}
Input Output
A B Q
0 0 0
0 1 1
1 0 1
1 1 1
NAND gate Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline { A \cdot B }} or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \neg(A \land B)}
Input Output
A B Q
0 0 1
0 1 1
1 0 1
1 1 0
NOR gate Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline { A + B }} or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \neg(A \lor B)}
Input Output
A B Q
0 0 1
0 1 0
1 0 0
1 1 0
XOR gate Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \oplus B} or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \underline \lor B}
Input Output
A B Q
0 0 0
0 1 1
1 0 1
1 1 0
XNOR gate Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline { A \oplus B }} or Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \odot B}
Input Output
A B Q
0 0 1
0 1 0
1 0 0
1 1 1

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See also

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