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Revision as of 22:51, December 12, 2007
, 22:51, December 12, 2007no edit summary
===NAND and NOR===
===NAND and NOR===
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}}
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[[Category:Mathematics]]
[[Category:Mathematics]]
[[Category:Electronics]]</nowiki>
[[Category:Electronics]]</nowiki>