Redes y comunicaciones de datos

Laboratorio de Electrónica Digital y Microprocesador

Laboratorio 03

“circuitos lógicos y simplificación de funciones”

informe

integrantes:

Mendoza Villa, Jimmy
Suarez Aguilar, Javier

Grupo: C16-03-A

Profesor:

De la cruz Berrospi, Javier

Fecha de realización: 25 de Marzo
Fecha de entrega: 01 de Abril

2010 – I
I. IMPLEMENTACIÓN DEUN CIRCUITO LÓGICO A PARTIR DE UNA ECUACIÓN.

a. Para las ecuaciones booleanas que se dan a continuación.

* F = c b + a b’ c d + c d’ + a c’ +a’ b c’ + b’ c’ d’

a) Elabore la tabla lógica

a | b | c | d | cb | ab'cd | cd' | ac' | a'b'c' | b'c'd' | F |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0| 0 | 1 |
0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 |
0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 |
0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 |
0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 |
1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 |
1 | 0 | 1 | 1 | 0 |1 | 0 | 0 | 0 | 0 | 1 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 |
1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |

b) Minimizar la ecuación

| C’D’ | C’D | CD | CD’ |
A’B’ | 1 | 0 | 0 | 1 |
A’B | 1 | 1 | 1 | 1 |
AB | 1 | 1 | 1 | 1 |
AB’ | 1 | 1 | 1 | 1 |La forma simplificada: (A’ B’ D)’ = A + B + D’

c) Elaborar el circuito lógico basado en cualquier puerta lógica.

a b c d

d) Elaborar el circuito lógico basando en solo NAND o solo NOR.

a b d

* G = Y Z + W X + Z + [ W Z (X Y + W Z)]

1) Elabore la tabla lógica

W | X | Y | Z | YZ | WX | XY | WZ | M | N | G |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |
0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 |
1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0| 1 |
1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 |
1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 |
1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 |
1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |

2) Minimizar la ecuación

| Y’ Z’ | Y’ Z | Y Z | Y Z’ |
W’ X’ | 0 | 1 | 1 | 0 |
W’ X | 0 | 1 | 1 | 0 |W X | 1 | 1 | 1 | 1 |
W X’ | 0 | 1 | 1 | 0 |


La forma simplificada: Z + W X

3) Elaborar el circuito lógico basando en solo NAND o solo NOR.

W X Z

* H = X Y Z + X’ Y Z + X’ Y’ Z’ + X’ Y’ Z + X Y’ Z + X Y’ Z’

1. Elabore la tabla lógica

X | Y | Z | XYZ | X'YZ | X'Y'Z' | X'Y'Z | XY'Z | XY'Z' | H |
0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |0 | 1 |
0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |

2. Minimizar la ecuación

| Y’ Z’ | Y’ Z | Y Z | Y Z’ |
X’ | 1 | 1 | 1 | 0 |
X | 1 |1 | 1 | 0 |

La forma simplificada: Y’ + Z

3. Elaborar el circuito lógico basando en solo NAND o solo NOR.

Y Z

II. DOCUMENTACION DE UN CIRCUITO COMBINACIONAL
2. Para los circuitos lógicos mostrados a continuación, elaborar:
* CIRCUITO 1

* La tabla lógica
A | B | C | AB’+A’B | F1 | AB | A+B | C(A+B) | F2 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |...