Positive logic nand gate is equivalent to negative logic nor, Computer Engineering

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Show that a positive logic NAND gate is equivalent to negative logic NOR gate.

Ans:

Positive logic denotes True or 1 with a high voltage and False or 0 with a low voltage.
Negative logic denotes True or 1 with a low voltage and False or 0 with a high voltage.

The difficulty is equivalent to proving the DeMorgan's rule of complementation that is

(x . y)' = x' + y'

Assume find now truth table for positive NAND and negative NOR.

1301_positive logic NAND gate is equivalent to negative logic NOR gate 1.png

Noticeably, positive NAND gate is equivalent to negative NOR gate.

1235_positive logic NAND gate is equivalent to negative logic NOR gate 2.png

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