CODEWITHSUNDEEP
language-agnosticlogicboolean
user20844
user20844

Reputation: 6667

What is NOR logical operator?

Is nor:

!(a or b)
!a or !b
!(a and b)

something else?

Upvotes: 5

Views: 20586

Answers (5)

MartinodF
MartinodF

Reputation: 8254

!(a or b)

see http://en.wikipedia.org/wiki/Logical_NOR for more:

In boolean logic, logical nor or joint denial is a truth-functional operator which produces a result that is the negation of logical or. That is, a sentence of the form (p NOR q) is true precisely when neither p nor q is true—i.e. when both of p and q are false. In grammar, nor is a coordinating conjunction...

Upvotes: 18

SingleNegationElimination
SingleNegationElimination

Reputation: 156188

your first alternative: !(a or b)

which happens to be equivalent to !a and !b

Upvotes: 5

chaos
chaos

Reputation: 124307

((a NAND a) NAND (b NAND b)) NAND ((a NAND a) NAND (b NAND b)) if you want to be circuit fabrication friendly. :)

Upvotes: 6

Adam Rosenfield
Adam Rosenfield

Reputation: 400314

NOR(a, b) is defined to be NOT(OR(a, b)) which is !(a or b) in infix notation. By De Morgan's Laws, this is also equivalent to (!a) and (!b).

Upvotes: 10

Brian Campbell
Brian Campbell

Reputation: 332876

!(a or b)

Upvotes: 11

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