CircuitosLogicos-Sumador-Restador
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Transcript of CircuitosLogicos-Sumador-Restador
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1
Circuitos Lógicos
Gilberto Hernández Herrera
Circuitos Digitales
AND OR NOT NAND NOR
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2
Circuitos digitales
EXOR Circuitos Integrados
Válvula Neumáticas
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3
Diagrama de Escalera
NOT
OR
AND
Normalmente Abierto
Normalmente cerrado
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4
Escalera Vs Digital
Eléctrico
Electrónico
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Sumador
C = c3 c2
c1
A = a2
a1
a0
B = b2
b1
b0
S = S1
S1
S0
S = S1
S0
S = A + B A = a2 a1 a0
B = b 2 b1 b0
a2 b2
s2
c3
Sumador
C = c3 c2
c1
A = a2
a1
a0
B = b2
b1
b0
S = S1
S1
S0
S = S1
S0
S = A + B A = a2 a1 a0
B = b 2 b1 b0
a2 b2
s2
c3
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6
Sumador-Restador
MATERIAL REQUERIDO:
• 1 Protoboard• Circuitos integrados:
• 2 AND 74 LS 08• 1 OR 74 LS 32• 1 NOT 74 LS 04• 2 EXOR 74 LS 86• 1 Decoder 74 LS 48• 1 regulador de 5 volts – 7805
• 1 Display de cátodo común• 1 Display de ánodo común• 1 dipswitch con 8 switches • 2 LEDs • 8 Resistencias de 330 ohms• 1 Pila de 9 volts• 2 cables tipo caimán–caimán de dos colores• 50 cm de alambre calibre 22 tipo UTP, varios colores
Diseño del ½ sumador
A0 B0 C1 S0 función C1 función S0
0 0 0 0
0 1 0 1 A B
1 0 0 1 A B
1 1 1 0 A B
C1 = A BS0 = A B + A B
Función equivalente: A exor B
S0 = A + B
C1A0
B0
S0A0
B0
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Diseño del sumador
A1 B1 C1 C2 S1 función C2 función S1
0 0 0 0 00 0 1 0 1 A B C
0 1 0 0 1 A B C
0 1 1 1 0 A B C
1 0 0 0 1 A B C
1 0 1 1 0 A B C
1 1 0 1 0 A B C
1 1 1 1 1 A B C A B C
S1 = A B C + A B C + A B C + A B C
Función equivalente: A exor B
S0 = A + B + C
Función equivalente:C2 = A B + C ( A + B )
A1
B1
C1
S0
A1 B1 C1
C2
SumadorS = S
1S0 S = A + B
C = c2
c1
c0
A = a1
a0
B = b1
b0
S = c2
S1
S0
a1 b1
s1
c2
a0 b0
s0
c3 C0 = Z
A0 B0
C1 C0
S0
A1 B1
C2
S1
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DIP-SWITCH
tierra
voltaje
A1
A0
B1
B0
Z
PROTOBOARD
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voltaje
Z
AND OR EXOR EXOR BCD
74LS48
74ls08 74ls32 74ls86
A1
B1
C1
S0
A1 B1 C1
C2
Cicuito de la SUMACicuito del CARRY
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74ls08 74ls32 74ls86
Si
ai bi ci
Ci+1
voltaje
a1a0b1b0
Z
74ls08 74ls32 74ls86
Si
ai bi ci
Ci+1
z a0 b0 c1 a0b0 z s0
c1 a1b1 c2 a1b1c1s1
voltaje
a1a0b1b0
Z
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11
SumadorS = S
1S0 S = A + B
C = c2
c1
c0
A = a1
a0
B = b1
b0
S = c2
S1
S0
a1 b1
s1
c2
a0 b0
s0
c3 C0 = Z
A0 B0
C1 C0
S0
A1 B1
C2
S1
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Conexión del DISPLAY
y el BCD–7 Segmentos
S1
C2
S0
Las entradas LT, BI/RB0 Y RBI van conectadas a voltajeLa entrada D va conectada a tierra
74 LS 48
Conexión del regulador de voltaje
VCC = “1”
= 5 volts
GND = “0”
= Tierra
Pila de 9 volts
Reguladorde Voltaje
7805
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Sumador/RestadorS = S
1S0
S = A + B S = A – B
A = a1 a0
B = b 1 b0
a1
s1
c2 c1+a0
s0
c1
Z
+
b0b1
{
Z = 0 Suma
Z = 1 Resta
Sumador –Restador
S = S1
S0
S = A + BS = A - B
C = c2
c1
c0
A = a1
a0
B = b1
b0
S = c2
S1
S0
a1 b1
s1
c2
a0 b0
s0
c3 C0 = Z
A0 B0
C1 C0
S0
A1 B1
C2
S1
Z