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Editing boolean algebra/functional completeness

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{{ba title|functional completeness}}
 
 
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! colspan="6" | Logic function classification
 
! colspan="6" | Logic function classification
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| [[XOR]]  || '''✘'''      || '''✘'''  ||'''✔'''  || '''✔'''      || '''✘'''
 
| [[XOR]]  || '''✘'''      || '''✘'''  ||'''✔'''  || '''✔'''      || '''✘'''
 
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A set of logic operations are said to be '''functionally complete''' provided every [[propositional function]] can be expressed entirely in terms of operations in the set - i.e. by combining the various logic operations in a set one could create every [[truth table]]. Two notable sets are [[NAND logic|'''{''' NAND '''}''']] and [[NOR logic|'''{''' NOR '''}''']]. Such sets are also called '''complete''' sets.
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A set of logic operations is '''functionally complete''' in [[Boolean algebra]] provided every [[propositional function]] can be expressed entirely in terms of operations in the set - i.e. by combining the various logic operations in a set one could create every truth table. Two notable sets are [[NAND logic|'''{''' NAND '''}''']] and [[NOR logic|'''{''' NOR '''}''']]. Such sets are also called '''complete''' sets.
  
 
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