Circuito Digital Explicado

Thought for 46 sec

Procedamos por partes según lo planteado:

Invertir la señal C:
Conecta la señal C a una compuerta NAND con sus dos entradas unidas para obtener
$\Large /C = \text{NAND}(C,\, C)$
Invertir la señal D:
De forma similar, conecta la señal D a una compuerta NAND con ambas entradas iguales:
$\Large /D = \text{NAND}(D,\, D)$
Combinar /C y /D con NAND:
Al alimentar /C y /D a una compuerta NAND de 2 entradas se obtiene:
$\Large W = \text{NAND}(/C,\, /D) = \overline{\,/C \cdot /D}$
Utilizando las leyes de De Morgan, se tiene que
$\overline{\,/C \cdot /D} = C + D$
Así, W equivale a la suma lógica de C y D.
Combinar W con la señal B mediante NOR:
Usa una compuerta NOR de 2 entradas para combinar B y W:
$\Large X = \text{NOR}(B,\, W) = \overline{\,B + W} = \overline{\,B + (C + D)} = \overline{B + C + D}$
Invertir X con una NAND (configurada como inversor):
Finalmente, conecta X a una nueva compuerta NAND, vinculando ambas entradas a X:
$\Large LED = \text{NAND}(X,\, X) = \overline{X} = \overline{\overline{B + C + D}} = B + C + D$

De esta manera, el resultado final es que el LED se activará cuando se cumpla la condición:

\Large LED = B + C + D

Esta secuencia de pasos permite obtener la función OR de las señales B, C y D utilizando únicamente compuertas NAND (en forma de inversores) y una compuerta NOR, sin emplear dispositivos de 3 entradas.

Por lo tanto, la implementación descrita produce la función deseada. ¿Confirmas que este es el comportamiento que necesitas?

Design the circuit using explained logic

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Resistance

220 Ω

Reviews

Generic Inductor
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Project Name

TP1 ED1 LED b

Description

Welcome to your new project. Imagine what you can build here.

Properties

Properties describe core aspects of the project.

Pricing & Availability

Distributor	Qty 1
Arrow	$0.01–$0.01
Digi-Key	$4.99–$10.06
LCSC	$13.60
Mouser	$6.22
Verical	$0.01

Controls

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manaticho / TP1 ED1 LED b

Schematic