nor

"nor" is also a: user

created by clahey

(thing) by no comply (1 y) (print) ? I like it! Mon Oct 30 2000 at 4:53:59

A logical bitwise operator. NOR is a binary operator meaning it takes two inputs. The symbol for a NOR gate is the same as an OR gate with a dot a the front for negation.

The gate looks like this

   \-\
A---\ \
    | |0----Result
B---/ /
   /-/

The truth table is below.

A B Result
1 1 0
1 0 0
0 1 0
0 0 1

(thing) by jesler (3.9 y) (print) ? I like it! Tue Aug 21 2001 at 13:40:46

Just as all boolean expressions can be implemented with just the NAND function, the same is true for the NOR function. We simply use various combinations of NOR to obtain other basic boolean functions such as AND, OR, and NOT, from which we can build more complex functions. The following should help illustrate this concept. The NOR function is indicated (here at least) by the ↓ (downward arrow) character.

The NOR truth table

  A   B   A↓B
 -------------
  T   T    F
  T   F    F
  F   T    F
  F   F    T

Consider A↓A

  A   A↓A
 ---------
  T    F
  F    T

Thus, A↓A is equivalent to ¬A.

Now to find the ∨ (or) function

  A   B   A↓B   (A↓B)↓(A↓B)
 --------------------------
  T   T    F       T
  T   F    F       T
  F   T    F       T
  F   F    T       F

So we have (A↓B)↓(A↓B) equivalent to A ∨ B (A or B)

From this point, we can achieve the conjunction (and) function as A∧B is equivalent to ¬(¬A∨¬B).
Therefore, A∧B (A and B) can be represented in NOR terms as
(((A↓A)↓B)↓((A↓A)↓B))↓(((A↓A)↓B)↓((A↓A)↓B))

Simple!

(definition) by Webster 1913 (print) I like it! Wed Dec 22 1999 at 1:28:59

Nor (?), conj. [OE. nor, contr. from nother. See Neither.]

A negative connective or particle, introducing the second member or clause of a negative proposition, following neither, or not, in the first member or clause (as or in affirmative propositions follows either). Nor is also used sometimes in the first member for neither, and sometimes the neither is omitted and implied by the use of nor.

Provide neither gold nor silver, nor brass, in your purses, nor scrip for your journey. Matt. x. 9, 10.

Where neither moth nor rust doth corrupt. Matt. vi. 20.

I love him not, nor fear him. Shak.

Where neither party is nor true, nor kind. Shak.

Simois nor Xanthus shall be wanting there. Dryden.

printable version
chaos

NAND	XOR	Why I won't be at commencement	or
XNOR	Quine dagger	Digital circuit component	conjunction
Reducing boolean equations	Norgasm	if and only if	propositional calculus
Never attribute to malice that which can be attributed to stupidity	MOSFET	flash memory	dynamic logic
logical operation	A Grain of Sand	Acronym	American culture of fear
implied	implied odds	Ozma	Unicode European Alphabets

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