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2011-06-16 21.54.18

NAND gate

Truth table
A B A NAND B
0
0
1
0
1
1
1
0
1
1
1
0


NAND-gates (⊼) are like AND-gates, but without inverting the output.

AboutEdit

NAND stands for NOT AND, which basically means the output is inverted. Yet when comparing it to a regular AND-gate, with one torch less. A NAND outputs 1 always, except when both inputs are on. An ideal version of this gate would propagate in 1 tick.

FormulaEdit

Starting from the formula of the AND-gate;

(A'+B')'

When inverted;

(A'+B')

A'+B'

One layer of inverting indicates that it only requires 1 tick.

TriviaEdit

In real life, this is a fundamental gate. For optimisation, equations are formed into a combination of these.

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