Tabla De Verdad De 6 Variables
CENTRO UNIVERSITARIO UAEM ATLACOMULCO
INGENIERÍA EN COMPUTACIÓN
LÓGICA SECUENCIAL Y COMBINATORIA
ING. JOSÉ ARTURO PÉREZ MARTÍNEZ
PRÁCTICA 6: DETECTOR DE MAGNITUD RELATIVA
PRESENTAN:
BARAJAS URRUTIA JORGE LUIS
MONDRAGON GUSTAVO
SEGUNDO FERNANDEZ ERICK DANIEL
ICO-13 OCTAVO SEMESTRE
OBJETIVO: Diseñar e implementar un circuito lógico quepermita realizar la comparación de 2 números de 3 bits cada uno, y que este a su vez indique cuál de los dos es mayor o si son iguales.
INTRODUCCION:
Mediante Algebra Booleana o mapas de Karnaugh diseñar e implementar un circuito lógico que permita visualizar un detector de magnitud relativa, el cual toma dos números binarios (X y Y) de 3 bits cada uno y determina si son iguales, y si no loson cuál de ellos es mayor. Este circuito estará compuesto por tres salidas M, N y O, mismas que estarán representadas por 3 leds, con las siguientes condiciones:
M = 1; si los dos números son iguales.
N = 1; si X > Y
O = 1; si X < Y
Nota: el numero 1 indica el estado de encendido del led.
DESARROLLO:
La siguiente tabla de verdad representa los 2 números (X, Y) de 3 bits cada uno, ylas 3 salidas (M, N y O) que indican cuál de ellos es igual, mayor y menor, respectivamente:
A | B | C | D | E | F | M | N | O |
0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 |
0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 |
0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 |
0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 |
0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 |
0 | 0 | 0| 1 | 1 | 1 | 0 | 0 | 1 |
0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 |
0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 |
0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 |
0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 |
0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 |
0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 |
0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 |
0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 |
0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 |
0| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 |
0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 |
0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 |
0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 |
0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 |
0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 |
0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 |
0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 |
0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 |
0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 |
0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |1 |
0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 |
0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 |
0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 |
A | B | C | D | E | F | M | N | O |
1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 |
1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 |
1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 |
1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 |
1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 |
1 | 0 | 0 | 1 | 1 | 0| 0 | 0 | 1 |
1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 |
1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 |
1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 |
1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 |
1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 |
1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 |
1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 |
1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 |
1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
1 | 1 | 0 | 0 |0 | 1 | 0 | 1 | 0 |
1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 |
1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 |
1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 |
1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 |
1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 |
1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 |
1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 |
1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 |
1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 |
1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 |
1 | 1 |1 | 1 | 0 | 0 | 0 | 1 | 0 |
1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 |
1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
AD A’B’C’F’ A’B’E A’B’C’F’ B’C’DF B’DE BC’DEF
B=0 B=1 B=0 B=1
A=0 A=0
A=1 A=1
| 00 | 01 | 11 | 10 | 00 | 01 | 11 | 10 |
00 | | 1 |...
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