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Revision as of 22:51, December 12, 2007
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22:51, December 12, 2007
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Line 51:
Line 51:
===NAND and NOR===
===NAND and NOR===
−
Performing
a NOT operation
+
NAND and NOR are formed by simply performing
a NOT
on the output of an AND or OR
operation
, respectively.
+
+
A'B' + A'B + AB'
+
A'(B'+B) + AB'
+
A'(1) + AB'
+
A' + AB'
+
+
00 = 1 + 0*1 = 1
+
01 = 1 + 1*0 = 1
+
10 = 0 + 1*1 = 1
+
11 = 0 + 1*0 = 1
===XOR===
===XOR===
+
XOR (or "exclusive OR") gives a 1 ("true") if either of its inputs are 1, but not both. Mathematically this can be broken down as follows:
+
+
:<math>AB + AB
+
+
{{clear}}
<nowiki>
<nowiki>
[[Category:Mathematics]]
[[Category:Mathematics]]
[[Category:Electronics]]</nowiki>
[[Category:Electronics]]</nowiki>
HelpJazz
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