Mapas De Karnaugh

INSTITUTO TECNOLÓGICO DE LA LAGUNA

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Tarea #15
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EQUIPO #04 Y #06-------------------------------------------------
AGUERO BELLO JOSE ALEJANDRO 10130602
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SANTOS VILLANUEVA EMANUEL 10130603-------------------------------------------------

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EDUARDO SOTO PACHECO 10130613
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INGENIERÍA EN SISTEMAS COMPUTACIONALES-------------------------------------------------

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PRINCIPIOS ELÉCTRICOS Y APLICACIONES DIGITALES-------------------------------------------------

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TORREÓN, COAHUILA A MAYO 25 del 2012

Usando mapas de karnaugh minimizar las siguientes expresiones:

1. F (x,y,z) = S(2,3,6,7)
Tablade verdad
| x | y | z | F |
0 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 1 | 0 |
2 | 0 | 1 | 0 | 1 |
3 | 0 | 1 | 1 | 1 |
4 | 1 | 0 | 0 | 0 |
5 | 1 | 0 | 1 | 0 |
6 | 1 | 1 | 0 | 1 |
7 | 1 | 1 | 1 | 1 |Mapa de Karnaugh
X/YZ | 00 | 01 | 11 | 10 |
0 | 0 | 0 | 1 | 1 |
1 | 0 | 0 | 1 | 1 |

F=x’yz’ + x’yz + xyz’ + xyz
Y se reduce a
F = Y
Siendo Y la única variable sin negar, y tomando en cuenta quex + x’ = 1

2. F(a,b,c,d) = S(7,13,14,15)
Tabla de verdad
| a | b | c | d | F |
0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 0 | 1 | 0 |
2 | 0 | 0 | 1 | 0 | 0 |
3 | 0 | 0 | 1 | 1 | 0 |
4 | 0 | 1 | 0| 0 | 0 |
5 | 0 | 1 | 0 | 1 | 0 |
6 | 0 | 1 | 1 | 0 | 0 |
7 | 0 | 1 | 1 | 1 | 1 |
8 | 1 | 0 | 0 | 0 | 0 |
9 | 1 | 0 | 0 | 1 | 0 |
10 | 1 | 0 | 1 | 0 | 0 |
11 | 1 | 0 | 1 | 1 | 0 |
12 | 1 |...