User:Huntscorpio/SandBox: Difference between revisions

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Test

Type

Distinctive shape

Boolean algebra between A & B

Truth table

AND

A\cdot B

INPUT		OUTPUT
A	B	A AND B
0	0	0
0	1	0
1	0	0
1	1	1

OR

A+B

INPUT		OUTPUT
A	B	A OR B
0	0	0
0	1	1
1	0	1
1	1	1

NOT

{\overline {A}}

INPUT	OUTPUT
A	NOT A
0	1
1	0

NAND

{\overline {A\cdot B}}

INPUT		OUTPUT
A	B	A NAND B
0	0	1
0	1	1
1	0	1
1	1	0

NOR

{\overline {A+B}}

INPUT		OUTPUT
A	B	A NOR B
0	0	1
0	1	0
1	0	0
1	1	0

XOR

A\oplus B

INPUT		OUTPUT
A	B	A XOR B
0	0	0
0	1	1
1	0	1
1	1	0

XNOR

{\overline {A\oplus B}}

INPUT		OUTPUT
A	B	A XNOR B
0	0	1
0	1	0
1	0	0
1	1	1

@@ Line 77: / Line 77: @@
 == Test ==
 {| class="wikitable"
-! Type !! Distinctive shape !! Rectangular shape !! Boolean algebra between A & B !! Truth table
+! Type !! Distinctive shape !! Boolean algebra between A & B !! Truth table
 |-
 | '''[[AND gate|AND]]'''
 | [[Image:AND ANSI.svg|128px|AND symbol]]
-| [[Image:AND IEC.svg|128px|AND symbol]]
 | <math>A \cdot B</math>
 |
@@ Line 101: / Line 100: @@
 | '''[[OR gate|OR]]'''
 | [[Image:OR ANSI.svg|128px|OR symbol]]
-| [[Image:OR IEC.svg|128px|OR symbol]]
 | <math>A+B</math>
 |
@@ Line 121: / Line 119: @@
 | '''[[NOT gate|NOT]]'''
 | [[Image:NOT ANSI.svg|128px|NOT symbol]]
-| [[Image:NOT IEC.svg|128px|NOT symbol]]
 | <math>\overline{A}</math>
 |
@@ Line 135: / Line 132: @@
 |}
 |-
-| colspan="5" |In electronics a NOT gate is more commonly called an inverter.  The circle on the symbol is called a ''bubble'', and is generally used in circuit diagrams to indicate an inverted (active-low) input or output.<ref>{{cite book | title = The Art of Electronics | author =  Winfield Hill and Paul Horowitz | publisher = Cambridge University Press | year = 1989 | isbn = 0521377099 | url = http://books.google.com/books?id=Ksa2pWfNnvkC&pg=PA322&dq=bubble+active-low&ei=9u75RqWsKoSepgKhzJi-CQ&sig=kXvQtTNPt3BRWu3DMtwLgOF-p6s }}</ref><ref>[http://www.williamson-labs.com/480_logic.htm another site that describes the logic gate ''bubble'']</ref>
 |-
 | '''[[Sheffer stroke#NAND gate|NAND]]'''
 | [[Image:NAND ANSI.svg|128px|NAND symbol]]
-| [[Image:NAND IEC.svg|128px|NAND symbol]]
 | <math>\overline{A \cdot B}</math>
 |
@@ Line 159: / Line 154: @@
 | '''[[NOR gate|NOR]]'''
 | [[Image:NOR ANSI.svg|128px|NOR symbol]]
-| [[Image:NOR IEC.svg|128px|NOR symbol]]
 | <math>\overline{A + B}</math>
 |
@@ Line 177: / Line 171: @@
 |}
 |-
-| colspan="5" |In practice, the cheapest gate to manufacture is usually the NAND gate.  Additionally, [[Charles Peirce]] showed that NAND gates alone (as well as NOR gates alone) can be used to reproduce the functions of all the other logic gates.
-[[Image:7400.jpg|thumb|180px|The 7400 chip, containing four NANDs. The two additional pins supply power (+5 V) and connect the ground.]]
-Two more gates are the exclusive-OR or XOR function and its inverse, exclusive-NOR or XNOR.  The two input Exclusive-OR is true only when the two input values are ''different'', false if they are equal, regardless of the value. If there are more than two inputs, the gate generates a true at its output if the number of trues at its input is ''odd'' ([http://www-inst.eecs.berkeley.edu/~cs61c/resources/dg-BOOL-handout.pdf]). In practice, these gates are built from combinations of simpler logic gates.
 |-
 | '''[[XOR gate|XOR]]'''
 | [[Image:XOR ANSI.svg|128px|XOR symbol]]
-| [[Image:XOR IEC.svg|128px|XOR symbol]]
 | <math>A \oplus B</math>
 |
@@ Line 205: / Line 193: @@
 | '''[[XNOR gate|XNOR]]'''
 | [[Image:XNOR ANSI.svg|128px|XNOR symbol]]
-| [[Image:XNOR IEC.svg|128px|XNOR symbol]]
 | <math>\overline{A \oplus B}</math>
 |