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User:Jon Awbrey/TABLE
(view source)
Revision as of 16:40, 26 May 2007
37 bytes added
,
16:40, 26 May 2007
cleanup
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'''Generalized''' or '''n-ary''' XOR is true when the number of 1-bits is odd.
'''Generalized''' or '''n-ary''' XOR is true when the number of 1-bits is odd.
+
<pre>
A + B = (A ∧ !B) ∨ (!A ∧ B)
A + B = (A ∧ !B) ∨ (!A ∧ B)
= {(A ∧ !B) ∨ !A} ∧ {(A ∧ !B) ∨ B}
= {(A ∧ !B) ∨ !A} ∧ {(A ∧ !B) ∨ B}
Line 1,505:
Line 1,506:
= (!A ∨ !B) ∧ (A ∨ B)
= (!A ∨ !B) ∧ (A ∨ B)
= !(A ∧ B) ∧ (A ∨ B)
= !(A ∧ B) ∧ (A ∨ B)
+
</pre>
−
+
<pre>
p + q = (p ∧ !q) ∨ (!p ∧ B)
p + q = (p ∧ !q) ∨ (!p ∧ B)
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Line 1,518:
= !(p ∧ q) ∧ (p ∨ q)
= !(p ∧ q) ∧ (p ∨ q)
+
</pre>
−
+
<pre>
p + q = (p ∧ ~q) ∨ (~p ∧ q)
p + q = (p ∧ ~q) ∨ (~p ∧ q)
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Line 1,530:
= ~(p ∧ q) ∧ (p ∨ q)
= ~(p ∧ q) ∧ (p ∨ q)
+
</pre>
: <math>\begin{matrix}
: <math>\begin{matrix}
Jon Awbrey
12,080
edits