What Is nor Logical Operator?

What Is nor Logical Operator?

Is nor:

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

something else?

5 Answers

!(a or b)

see 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...

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).

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

your first alternative: !(a or b)

which happens to be equivalent to !a and !b

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Maya Lin-Takahashi
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Maya Lin-Takahashi

Maya is a hardware enthusiast who tests and reviews smart home devices, smartphones, wearables, and audio gear. She focuses on practical consumer value and build quality.