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Sumador de 2_bits_diagrama_tabla_de_verdad

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Benjamín Joaquín Martínez
Benjamín Joaquín Martínez

Sumador hecho con compuertas lógicas para montar en protoboard, mapas de k, simplificación, tabla de verdad, diagrama.

Engineering
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https://www.linkedin.com/in/benjaminjoaquinmartinez/ Arquitectura de computadoras Sumador de 2 bits, diagrama, tabla de verdad y mapas de Kargnouth
EXPLICACIÓN CON MAPASDE KARNAUGH - Para obtenerel sumadorde 4 bits,se tomó encuentaun sumadorde 2 bits,el cuál sirvió como pautapara conseguirel diagramacompleto.Todoestoconayudadel AuxiliaryFlag. Tabla de verdadde sumadorde 2 bitscon acarrero: SUMANDO A SUMANDO B AUXILIARY FLAG (C) OVERFLOWFLAG (F1) SUMA (F2) 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 OVERFLOWFLAG (F1) (BC)+(AC)+(AB) (A.B)+(C(A B)) SUMA (F2) (AB’C’)+(A’BC’)+(A’B’C)+(ABC) (A B) C
Si conectamosde forma seriada4 sumadoresde 2 bits, siendoel puntode uniónel auxiliaryflag obtenemosel sumadorde 4bits. TABLASDE VERDADDE SUMADOR DE 4 BITS A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 2 0 0 1 1 0 0 0 0 0 0 0 1 1 3 0 1 0 0 0 0 0 0 0 0 1 0 0 4 0 1 0 1 0 0 0 0 0 0 1 0 1 5 0 1 1 0 0 0 0 0 0 0 1 1 0 6 0 1 1 1 0 0 0 0 0 0 1 1 1 7 1 0 0 0 0 0 0 0 0 1 0 0 0 8 1 0 0 1 0 0 0 0 0 1 0 0 1 9 1 0 1 0 0 0 0 0 0 1 0 1 0 10 1 0 1 1 0 0 0 0 0 1 0 1 1 11 1 1 0 0 0 0 0 0 0 1 1 0 0 12 1 1 0 1 0 0 0 0 0 1 1 0 1 13 1 1 1 0 0 0 0 0 0 1 1 1 0 14 1 1 1 1 0 0 0 0 0 1 1 1 1 15 A B C F1 F2
A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 0 2 0 0 1 0 0 0 0 1 0 0 0 1 1 3 0 0 1 1 0 0 0 1 0 0 1 0 0 4 0 1 0 0 0 0 0 1 0 0 1 0 1 5 0 1 0 1 0 0 0 1 0 0 1 1 0 6 0 1 1 0 0 0 0 1 0 0 1 1 1 7 0 1 1 1 0 0 0 1 0 1 0 0 0 8 1 0 0 0 0 0 0 1 0 1 0 0 1 9 1 0 0 1 0 0 0 1 0 1 0 1 0 10 1 0 1 0 0 0 0 1 0 1 0 1 1 11 1 0 1 1 0 0 0 1 0 1 1 0 0 12 1 1 0 0 0 0 0 1 0 1 1 0 1 13 1 1 0 1 0 0 0 1 0 1 1 1 0 14 1 1 1 0 0 0 0 1 0 1 1 1 1 15 1 1 1 1 0 0 0 1 1 1 1 1 1 16 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 0 1 0 0 0 0 1 0 2 0 0 0 1 0 0 1 0 0 0 0 1 1 3 0 0 1 0 0 0 1 0 0 0 1 0 0 4 0 0 1 1 0 0 1 0 0 0 1 0 1 5 0 1 0 0 0 0 1 0 0 0 1 1 0 6 0 1 0 1 0 0 1 0 0 0 1 1 1 7 0 1 1 0 0 0 1 0 0 1 0 0 0 8 0 1 1 1 0 0 1 0 0 1 0 0 1 9 1 0 0 0 0 0 1 0 0 1 0 1 0 10 1 0 0 1 0 0 1 0 0 1 0 1 1 11 1 0 1 0 0 0 1 0 0 1 1 0 0 12 1 0 1 1 0 0 1 0 0 1 1 0 1 13 1 1 0 0 0 0 1 0 0 1 1 1 0 14 1 1 0 1 0 0 1 0 0 1 1 1 1 15 1 1 1 0 0 0 1 0 1 0 0 0 0 16 1 1 1 1 0 0 1 0 1 0 0 0 1 17
A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 0 1 1 0 0 0 1 1 3 0 0 0 1 0 0 1 1 0 0 1 0 0 4 0 0 1 0 0 0 1 1 0 0 1 0 1 5 0 0 1 1 0 0 1 1 0 0 1 1 0 6 0 1 0 0 0 0 1 1 0 0 1 1 1 7 0 1 0 1 0 0 1 1 0 1 0 0 0 8 0 1 1 0 0 0 1 1 0 1 0 0 1 9 0 1 1 1 0 0 1 1 0 1 0 1 0 10 1 0 0 0 0 0 1 1 0 1 0 1 1 11 1 0 0 1 0 0 1 1 0 1 1 0 0 12 1 0 1 0 0 0 1 1 0 1 1 0 1 13 1 0 1 1 0 0 1 1 0 1 1 1 0 14 1 1 0 0 0 0 1 1 0 1 1 1 1 15 1 1 0 1 0 0 1 1 1 0 0 0 0 16 1 1 1 0 0 0 1 1 1 0 0 0 0 17 1 1 1 1 0 0 1 1 1 0 0 1 0 18 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 1 0 0 0 0 1 0 0 4 0 0 0 1 0 1 0 0 0 0 1 0 1 5 0 0 1 0 0 1 0 0 0 0 1 1 0 6 0 0 1 1 0 1 0 0 0 0 1 1 1 7 0 1 0 0 0 1 0 0 0 1 0 0 0 8 0 1 0 1 0 1 0 0 0 1 0 0 1 9 0 1 1 0 0 1 0 0 0 1 0 1 0 10 0 1 1 1 0 1 0 0 0 1 0 1 1 11 1 0 0 0 0 1 0 0 0 1 1 0 0 12 1 0 0 1 0 1 0 0 0 1 1 0 1 13 1 0 1 0 0 1 0 0 0 1 1 1 0 14 1 0 1 1 0 1 0 0 0 1 1 1 1 15 1 1 0 0 0 1 0 0 1 0 0 0 0 16 1 1 0 1 0 1 0 0 1 0 0 0 1 17 1 1 1 0 0 1 0 0 1 0 0 1 0 18 1 1 1 1 0 1 0 0 1 0 0 1 1 19
A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 1 0 1 0 0 1 0 1 5 0 0 0 1 0 1 0 1 0 0 1 1 0 6 0 0 1 0 0 1 0 1 0 0 1 1 1 7 0 0 1 1 0 1 0 1 0 1 0 0 0 8 0 1 0 0 0 1 0 1 0 1 0 0 1 9 0 1 0 1 0 1 0 1 0 1 0 1 0 10 0 1 1 0 0 1 0 1 0 1 0 1 1 11 0 1 1 1 0 1 0 1 0 1 1 0 0 12 1 0 0 0 0 1 0 1 0 1 1 0 1 13 1 0 0 1 0 1 0 1 0 1 1 1 0 14 1 0 1 0 0 1 0 1 0 1 1 1 1 15 1 0 1 1 0 1 0 1 1 0 0 0 0 16 1 1 0 0 0 1 0 1 1 0 0 0 1 17 1 1 0 1 0 1 0 1 1 0 0 1 0 18 1 1 1 0 0 1 0 1 1 0 0 1 1 19 1 1 1 1 0 1 0 1 1 0 1 0 0 20 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 1 1 0 0 0 1 1 0 6 0 0 0 1 0 1 1 0 0 0 1 1 1 7 0 0 1 0 0 1 1 0 0 1 0 0 0 8 0 0 1 1 0 1 1 0 0 1 0 0 1 9 0 1 0 0 0 1 1 0 0 1 0 1 0 10 0 1 0 1 0 1 1 0 0 1 0 1 1 11 0 1 1 0 0 1 1 0 0 1 1 0 0 12 0 1 1 1 0 1 1 0 0 1 1 0 1 13 1 0 0 0 0 1 1 0 0 1 1 1 0 14 1 0 0 1 0 1 1 0 0 1 1 1 1 15 1 0 1 0 0 1 1 0 1 0 0 0 0 16 1 0 1 1 0 1 1 0 1 0 0 0 1 17 1 1 0 0 0 1 1 0 1 0 0 1 0 18 1 1 0 1 0 1 1 0 1 0 0 1 1 19 1 1 1 0 0 1 1 0 1 0 1 0 0 20 1 1 1 1 0 1 1 0 1 0 1 0 1 21
A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 1 1 1 0 0 1 1 1 7 0 0 0 1 0 1 1 1 0 1 0 0 0 8 0 0 1 0 0 1 1 1 0 1 0 0 1 9 0 0 1 1 0 1 1 1 0 1 0 1 0 10 0 1 0 0 0 1 1 1 0 1 0 1 1 11 0 1 0 1 0 1 1 1 0 1 1 0 0 12 0 1 1 0 0 1 1 1 0 1 1 0 1 13 0 1 1 1 0 1 1 1 0 1 1 1 0 14 1 0 0 0 0 1 1 1 0 1 1 1 1 15 1 0 0 1 0 1 1 1 1 0 0 0 0 16 1 0 1 0 0 1 1 1 1 0 0 0 1 17 1 0 1 1 0 1 1 1 1 0 0 1 0 18 1 1 0 0 0 1 1 1 1 0 0 1 1 19 1 1 0 1 0 1 1 1 1 0 1 0 0 20 1 1 1 0 0 1 1 1 1 0 1 0 1 21 1 1 1 1 0 1 1 1 1 0 1 1 0 22 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 0 0 0 0 1 0 0 0 8 0 0 0 1 1 0 0 0 0 1 0 0 1 9 0 0 1 0 1 0 0 0 0 1 0 1 0 10 0 0 1 1 1 0 0 0 0 1 0 1 1 11 0 1 0 0 1 0 0 0 0 1 1 0 0 12 0 1 0 1 1 0 0 0 0 1 1 0 1 13 0 1 1 0 1 0 0 0 0 1 1 1 0 14 0 1 1 1 1 0 0 0 0 1 1 1 1 15 1 0 0 0 1 0 0 0 1 0 0 0 0 16 1 0 0 1 1 0 0 0 1 0 0 0 1 17 1 0 1 0 1 0 0 0 1 0 0 1 0 18 1 0 1 1 1 0 0 0 1 0 0 1 1 19 1 1 0 0 1 0 0 0 1 0 1 0 0 20 1 1 0 1 1 0 0 0 1 0 1 0 1 21 1 1 1 0 1 0 0 0 1 0 1 1 0 22 1 1 1 1 1 0 0 0 1 0 1 1 1 23
A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 0 0 1 0 1 0 0 1 9 0 0 0 1 1 0 0 1 0 1 0 1 0 10 0 0 1 0 1 0 0 1 0 1 0 1 1 11 0 0 1 1 1 0 0 1 0 1 1 0 0 12 0 1 0 0 1 0 0 1 0 1 1 0 1 13 0 1 0 1 1 0 0 1 0 1 1 1 0 14 0 1 1 0 1 0 0 1 0 1 1 1 1 15 0 1 1 1 1 0 0 1 1 0 0 0 0 16 1 0 0 0 1 0 0 1 1 0 0 0 1 17 1 0 0 1 1 0 0 1 1 0 0 1 0 18 1 0 1 0 1 0 0 1 1 0 0 1 1 19 1 0 1 1 1 0 0 1 1 0 1 0 0 20 1 1 0 0 1 0 0 1 1 0 1 0 1 21 1 1 0 1 1 0 0 1 1 0 1 1 0 22 1 1 1 0 1 0 0 1 1 0 1 1 1 23 1 1 1 1 1 0 0 1 1 1 0 0 0 24 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 0 1 0 0 1 0 1 0 10 0 0 0 1 1 0 1 0 0 1 0 1 1 11 0 0 1 0 1 0 1 0 0 1 1 0 0 12 0 0 1 1 1 0 1 0 0 1 1 0 1 13 0 1 0 0 1 0 1 0 0 1 1 1 0 14 0 1 0 1 1 0 1 0 0 1 1 1 1 15 0 1 1 0 1 0 1 0 1 0 0 0 0 16 0 1 1 1 1 0 1 0 1 0 0 0 1 17 1 0 0 0 1 0 1 0 1 0 0 1 0 18 1 0 0 1 1 0 1 0 1 0 0 1 1 19 1 0 1 0 1 0 1 0 1 0 1 0 0 20 1 0 1 1 1 0 1 0 1 0 1 0 1 21 1 1 0 0 1 0 1 0 1 0 1 1 0 22 1 1 0 1 1 0 1 0 1 0 1 1 1 23 1 1 1 0 1 0 1 0 1 1 0 0 0 24 1 1 1 1 1 0 1 0 1 1 0 0 1 25
A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 0 1 1 0 1 0 1 1 11 0 0 0 1 1 0 1 1 0 1 1 0 0 12 0 0 1 0 1 0 1 1 0 1 1 0 1 13 0 0 1 1 1 0 1 1 0 1 1 1 0 14 0 1 0 0 1 0 1 1 0 1 1 1 1 15 0 1 0 1 1 0 1 1 1 0 0 0 0 16 0 1 1 0 1 0 1 1 1 0 0 0 1 17 0 1 1 1 1 0 1 1 1 0 0 1 0 18 1 0 0 0 1 0 1 1 1 0 0 1 1 19 1 0 0 1 1 0 1 1 1 0 1 0 0 20 1 0 1 0 1 0 1 1 1 0 1 0 1 21 1 0 1 1 1 0 1 1 1 0 1 1 0 22 1 1 0 0 1 0 1 1 1 0 1 1 1 23 1 1 0 1 1 0 1 1 1 1 0 0 0 24 1 1 1 0 1 0 1 1 1 1 0 0 1 25 1 1 1 1 1 0 1 1 1 1 0 1 0 26 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 1 0 0 0 1 1 0 0 12 0 0 0 1 1 1 0 0 0 1 1 0 1 13 0 0 1 0 1 1 0 0 0 1 1 1 0 14 0 0 1 1 1 1 0 0 1 1 1 1 1 15 0 1 0 0 1 1 0 0 1 0 0 0 0 16 0 1 0 1 1 1 0 0 1 0 0 0 1 17 0 1 1 0 1 1 0 0 1 0 0 1 0 18 0 1 1 1 1 1 0 0 1 0 0 1 1 19 1 0 0 0 1 1 0 0 1 0 1 0 0 20 1 0 0 1 1 1 0 0 1 0 1 0 1 21 1 0 1 0 1 1 0 0 1 0 1 1 0 22 1 0 1 1 1 1 0 0 1 0 1 1 1 23 1 1 0 0 1 1 0 0 1 1 0 0 0 24 1 1 0 1 1 1 0 0 1 1 0 0 1 25 1 1 1 0 1 1 0 0 1 1 0 1 0 26 1 1 1 1 1 1 0 0 1 1 0 1 1 27
A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 1 0 1 0 1 1 0 1 13 0 0 0 1 1 1 0 1 0 1 1 1 0 14 0 0 1 0 1 1 0 1 0 1 1 1 1 15 0 0 1 1 1 1 0 1 1 0 0 0 0 16 0 1 0 0 1 1 0 1 1 0 0 0 1 17 0 1 0 1 1 1 0 1 1 0 0 1 0 18 0 1 1 0 1 1 0 1 1 0 0 1 1 19 0 1 1 1 1 1 0 1 1 0 1 0 0 20 1 0 0 0 1 1 0 1 1 0 1 0 1 21 1 0 0 1 1 1 0 1 1 0 1 1 0 22 1 0 1 0 1 1 0 1 1 0 1 1 1 23 1 0 1 1 1 1 0 1 1 1 0 0 0 24 1 1 0 0 1 1 0 1 1 1 0 0 1 25 1 1 0 1 1 1 0 1 1 1 0 1 0 26 1 1 1 0 1 1 0 1 1 1 0 1 1 27 1 1 1 1 1 1 0 1 1 1 1 0 0 28 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 1 1 0 0 1 1 1 0 14 0 0 0 1 1 1 1 0 0 1 1 1 1 15 0 0 1 0 1 1 1 0 1 0 0 0 0 16 0 0 1 1 1 1 1 0 1 0 0 0 1 17 0 1 0 0 1 1 1 0 1 0 0 1 0 18 0 1 0 1 1 1 1 0 1 0 0 1 1 19 0 1 1 0 1 1 1 0 1 0 1 0 0 20 0 1 1 1 1 1 1 0 1 0 1 0 1 21 1 0 0 0 1 1 1 0 1 0 1 1 0 22 1 0 0 1 1 1 1 0 1 0 1 1 1 23 1 0 1 0 1 1 1 0 1 1 0 0 0 24 1 0 1 1 1 1 1 0 1 1 0 0 1 25 1 1 0 0 1 1 1 0 1 1 0 1 0 26 1 1 0 1 1 1 1 0 1 1 0 1 1 27 1 1 1 0 1 1 1 0 1 1 1 0 0 28 1 1 1 1 1 1 1 0 1 1 1 0 1 29
A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 1 1 1 0 1 1 1 1 15 0 0 0 1 1 1 1 1 1 0 0 0 0 16 0 0 1 0 1 1 1 1 1 0 0 0 1 17 0 0 1 1 1 1 1 1 1 0 0 1 0 18 0 1 0 0 1 1 1 1 1 0 0 1 1 19 0 1 0 1 1 1 1 1 1 0 1 0 0 20 0 1 1 0 1 1 1 1 1 0 1 0 1 21 0 1 1 1 1 1 1 1 1 0 1 1 0 22 1 0 0 0 1 1 1 1 1 0 1 1 1 23 1 0 0 1 1 1 1 1 1 1 0 0 0 24 1 0 1 0 1 1 1 1 1 1 0 0 1 25 1 0 1 1 1 1 1 1 1 1 0 1 0 26 1 1 0 0 1 1 1 1 1 1 0 1 1 27 1 1 0 1 1 1 1 1 1 1 1 0 0 28 1 1 1 0 1 1 1 1 1 1 1 0 1 29 1 1 1 1 1 1 1 1 1 1 1 1 0 30
MAPASDE KARNOUGHDEL SUMADOR DE 4 BITS (A’CDE’FH) +(A’BDE’GH) +(A’BCDE’H) +(ACDEFH) + (ABDEGH) + (ABCEG) + (ABCDEH) + (AE’F’G’H’) +(AD’E’F’G’) +(AC’E’F’H’) + (AC’E’F’G’) +(AC’D’E’F’) +(AB’E’G’H’) +(AB’E’F’) +(AB’D’E’G’) +(AB’C’E’H’) +(AB’C’E’G’) +(AB’C’D’E’) +(A’EF’G’H’) +(A’D’EF’G’) + (A’C’EF’H’) +(A’C’EF’G’) +(A’C’D’EF’) +(A’B’EG’H’) +(A’B’EF’) +(A’B’D’EG’) +(A’B’C’E) +(A’CE’FG) + (A’BE’F) + (A’BCE’G) + (ACEFG) + (ABEF) + (A’B’C’DFGH) +(B’C’DEFGH)
(B’DF’GH) + (B’CDF’H) + (BDFGH) + (BCDFH) + (BF’G’H’) + (BD’F’G’) + (BC’F’H’) +(BC’F’G’) + (BC’D’F’) + (B’FG’H’) + (B’D’FG’) +(B’C’FH’) + (B’C’FG’) + (B’C’D’F) +(B’CF’G) + (BCFG) + (A’B’C’DEGH)
(CDGH) + (CG’H’) + (CD’G’) + (C’GH’) + (C’DG’H) + (C’D’G) + (A’B’C’DEFH)
(DG’H’) + (DF’H’) + (DE’H’) + (BDH’) + (ADH’) + (D’H) + (A’B’C’DEFG)
(DEFGH) + (CEFG) + (CDEFH) + (BEF) + (BDEGH) + (BCEG) + (BCDEH) + (AE) + (ADFGH) + (ACFG) + (ACDFH) + (ABGH) + (ABF) + (ABCG) + (ABCDH)
DIAGRAMA

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Sumador de 2_bits_diagrama_tabla_de_verdad

  • 1. https://www.linkedin.com/in/benjaminjoaquinmartinez/ Arquitectura de computadoras Sumador de 2 bits, diagrama, tabla de verdad y mapas de Kargnouth
  • 2. EXPLICACIÓN CON MAPASDE KARNAUGH - Para obtenerel sumadorde 4 bits,se tomó encuentaun sumadorde 2 bits,el cuál sirvió como pautapara conseguirel diagramacompleto.Todoestoconayudadel AuxiliaryFlag. Tabla de verdadde sumadorde 2 bitscon acarrero: SUMANDO A SUMANDO B AUXILIARY FLAG (C) OVERFLOWFLAG (F1) SUMA (F2) 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 OVERFLOWFLAG (F1) (BC)+(AC)+(AB) (A.B)+(C(A B)) SUMA (F2) (AB’C’)+(A’BC’)+(A’B’C)+(ABC) (A B) C
  • 3. Si conectamosde forma seriada4 sumadoresde 2 bits, siendoel puntode uniónel auxiliaryflag obtenemosel sumadorde 4bits. TABLASDE VERDADDE SUMADOR DE 4 BITS A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 2 0 0 1 1 0 0 0 0 0 0 0 1 1 3 0 1 0 0 0 0 0 0 0 0 1 0 0 4 0 1 0 1 0 0 0 0 0 0 1 0 1 5 0 1 1 0 0 0 0 0 0 0 1 1 0 6 0 1 1 1 0 0 0 0 0 0 1 1 1 7 1 0 0 0 0 0 0 0 0 1 0 0 0 8 1 0 0 1 0 0 0 0 0 1 0 0 1 9 1 0 1 0 0 0 0 0 0 1 0 1 0 10 1 0 1 1 0 0 0 0 0 1 0 1 1 11 1 1 0 0 0 0 0 0 0 1 1 0 0 12 1 1 0 1 0 0 0 0 0 1 1 0 1 13 1 1 1 0 0 0 0 0 0 1 1 1 0 14 1 1 1 1 0 0 0 0 0 1 1 1 1 15 A B C F1 F2
  • 4. A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 0 2 0 0 1 0 0 0 0 1 0 0 0 1 1 3 0 0 1 1 0 0 0 1 0 0 1 0 0 4 0 1 0 0 0 0 0 1 0 0 1 0 1 5 0 1 0 1 0 0 0 1 0 0 1 1 0 6 0 1 1 0 0 0 0 1 0 0 1 1 1 7 0 1 1 1 0 0 0 1 0 1 0 0 0 8 1 0 0 0 0 0 0 1 0 1 0 0 1 9 1 0 0 1 0 0 0 1 0 1 0 1 0 10 1 0 1 0 0 0 0 1 0 1 0 1 1 11 1 0 1 1 0 0 0 1 0 1 1 0 0 12 1 1 0 0 0 0 0 1 0 1 1 0 1 13 1 1 0 1 0 0 0 1 0 1 1 1 0 14 1 1 1 0 0 0 0 1 0 1 1 1 1 15 1 1 1 1 0 0 0 1 1 1 1 1 1 16 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 0 1 0 0 0 0 1 0 2 0 0 0 1 0 0 1 0 0 0 0 1 1 3 0 0 1 0 0 0 1 0 0 0 1 0 0 4 0 0 1 1 0 0 1 0 0 0 1 0 1 5 0 1 0 0 0 0 1 0 0 0 1 1 0 6 0 1 0 1 0 0 1 0 0 0 1 1 1 7 0 1 1 0 0 0 1 0 0 1 0 0 0 8 0 1 1 1 0 0 1 0 0 1 0 0 1 9 1 0 0 0 0 0 1 0 0 1 0 1 0 10 1 0 0 1 0 0 1 0 0 1 0 1 1 11 1 0 1 0 0 0 1 0 0 1 1 0 0 12 1 0 1 1 0 0 1 0 0 1 1 0 1 13 1 1 0 0 0 0 1 0 0 1 1 1 0 14 1 1 0 1 0 0 1 0 0 1 1 1 1 15 1 1 1 0 0 0 1 0 1 0 0 0 0 16 1 1 1 1 0 0 1 0 1 0 0 0 1 17
  • 5. A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 0 1 1 0 0 0 1 1 3 0 0 0 1 0 0 1 1 0 0 1 0 0 4 0 0 1 0 0 0 1 1 0 0 1 0 1 5 0 0 1 1 0 0 1 1 0 0 1 1 0 6 0 1 0 0 0 0 1 1 0 0 1 1 1 7 0 1 0 1 0 0 1 1 0 1 0 0 0 8 0 1 1 0 0 0 1 1 0 1 0 0 1 9 0 1 1 1 0 0 1 1 0 1 0 1 0 10 1 0 0 0 0 0 1 1 0 1 0 1 1 11 1 0 0 1 0 0 1 1 0 1 1 0 0 12 1 0 1 0 0 0 1 1 0 1 1 0 1 13 1 0 1 1 0 0 1 1 0 1 1 1 0 14 1 1 0 0 0 0 1 1 0 1 1 1 1 15 1 1 0 1 0 0 1 1 1 0 0 0 0 16 1 1 1 0 0 0 1 1 1 0 0 0 0 17 1 1 1 1 0 0 1 1 1 0 0 1 0 18 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 1 0 0 0 0 1 0 0 4 0 0 0 1 0 1 0 0 0 0 1 0 1 5 0 0 1 0 0 1 0 0 0 0 1 1 0 6 0 0 1 1 0 1 0 0 0 0 1 1 1 7 0 1 0 0 0 1 0 0 0 1 0 0 0 8 0 1 0 1 0 1 0 0 0 1 0 0 1 9 0 1 1 0 0 1 0 0 0 1 0 1 0 10 0 1 1 1 0 1 0 0 0 1 0 1 1 11 1 0 0 0 0 1 0 0 0 1 1 0 0 12 1 0 0 1 0 1 0 0 0 1 1 0 1 13 1 0 1 0 0 1 0 0 0 1 1 1 0 14 1 0 1 1 0 1 0 0 0 1 1 1 1 15 1 1 0 0 0 1 0 0 1 0 0 0 0 16 1 1 0 1 0 1 0 0 1 0 0 0 1 17 1 1 1 0 0 1 0 0 1 0 0 1 0 18 1 1 1 1 0 1 0 0 1 0 0 1 1 19
  • 6. A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 1 0 1 0 0 1 0 1 5 0 0 0 1 0 1 0 1 0 0 1 1 0 6 0 0 1 0 0 1 0 1 0 0 1 1 1 7 0 0 1 1 0 1 0 1 0 1 0 0 0 8 0 1 0 0 0 1 0 1 0 1 0 0 1 9 0 1 0 1 0 1 0 1 0 1 0 1 0 10 0 1 1 0 0 1 0 1 0 1 0 1 1 11 0 1 1 1 0 1 0 1 0 1 1 0 0 12 1 0 0 0 0 1 0 1 0 1 1 0 1 13 1 0 0 1 0 1 0 1 0 1 1 1 0 14 1 0 1 0 0 1 0 1 0 1 1 1 1 15 1 0 1 1 0 1 0 1 1 0 0 0 0 16 1 1 0 0 0 1 0 1 1 0 0 0 1 17 1 1 0 1 0 1 0 1 1 0 0 1 0 18 1 1 1 0 0 1 0 1 1 0 0 1 1 19 1 1 1 1 0 1 0 1 1 0 1 0 0 20 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 1 1 0 0 0 1 1 0 6 0 0 0 1 0 1 1 0 0 0 1 1 1 7 0 0 1 0 0 1 1 0 0 1 0 0 0 8 0 0 1 1 0 1 1 0 0 1 0 0 1 9 0 1 0 0 0 1 1 0 0 1 0 1 0 10 0 1 0 1 0 1 1 0 0 1 0 1 1 11 0 1 1 0 0 1 1 0 0 1 1 0 0 12 0 1 1 1 0 1 1 0 0 1 1 0 1 13 1 0 0 0 0 1 1 0 0 1 1 1 0 14 1 0 0 1 0 1 1 0 0 1 1 1 1 15 1 0 1 0 0 1 1 0 1 0 0 0 0 16 1 0 1 1 0 1 1 0 1 0 0 0 1 17 1 1 0 0 0 1 1 0 1 0 0 1 0 18 1 1 0 1 0 1 1 0 1 0 0 1 1 19 1 1 1 0 0 1 1 0 1 0 1 0 0 20 1 1 1 1 0 1 1 0 1 0 1 0 1 21
  • 7. A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 0 1 1 1 0 0 1 1 1 7 0 0 0 1 0 1 1 1 0 1 0 0 0 8 0 0 1 0 0 1 1 1 0 1 0 0 1 9 0 0 1 1 0 1 1 1 0 1 0 1 0 10 0 1 0 0 0 1 1 1 0 1 0 1 1 11 0 1 0 1 0 1 1 1 0 1 1 0 0 12 0 1 1 0 0 1 1 1 0 1 1 0 1 13 0 1 1 1 0 1 1 1 0 1 1 1 0 14 1 0 0 0 0 1 1 1 0 1 1 1 1 15 1 0 0 1 0 1 1 1 1 0 0 0 0 16 1 0 1 0 0 1 1 1 1 0 0 0 1 17 1 0 1 1 0 1 1 1 1 0 0 1 0 18 1 1 0 0 0 1 1 1 1 0 0 1 1 19 1 1 0 1 0 1 1 1 1 0 1 0 0 20 1 1 1 0 0 1 1 1 1 0 1 0 1 21 1 1 1 1 0 1 1 1 1 0 1 1 0 22 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 0 0 0 0 1 0 0 0 8 0 0 0 1 1 0 0 0 0 1 0 0 1 9 0 0 1 0 1 0 0 0 0 1 0 1 0 10 0 0 1 1 1 0 0 0 0 1 0 1 1 11 0 1 0 0 1 0 0 0 0 1 1 0 0 12 0 1 0 1 1 0 0 0 0 1 1 0 1 13 0 1 1 0 1 0 0 0 0 1 1 1 0 14 0 1 1 1 1 0 0 0 0 1 1 1 1 15 1 0 0 0 1 0 0 0 1 0 0 0 0 16 1 0 0 1 1 0 0 0 1 0 0 0 1 17 1 0 1 0 1 0 0 0 1 0 0 1 0 18 1 0 1 1 1 0 0 0 1 0 0 1 1 19 1 1 0 0 1 0 0 0 1 0 1 0 0 20 1 1 0 1 1 0 0 0 1 0 1 0 1 21 1 1 1 0 1 0 0 0 1 0 1 1 0 22 1 1 1 1 1 0 0 0 1 0 1 1 1 23
  • 8. A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 0 0 1 0 1 0 0 1 9 0 0 0 1 1 0 0 1 0 1 0 1 0 10 0 0 1 0 1 0 0 1 0 1 0 1 1 11 0 0 1 1 1 0 0 1 0 1 1 0 0 12 0 1 0 0 1 0 0 1 0 1 1 0 1 13 0 1 0 1 1 0 0 1 0 1 1 1 0 14 0 1 1 0 1 0 0 1 0 1 1 1 1 15 0 1 1 1 1 0 0 1 1 0 0 0 0 16 1 0 0 0 1 0 0 1 1 0 0 0 1 17 1 0 0 1 1 0 0 1 1 0 0 1 0 18 1 0 1 0 1 0 0 1 1 0 0 1 1 19 1 0 1 1 1 0 0 1 1 0 1 0 0 20 1 1 0 0 1 0 0 1 1 0 1 0 1 21 1 1 0 1 1 0 0 1 1 0 1 1 0 22 1 1 1 0 1 0 0 1 1 0 1 1 1 23 1 1 1 1 1 0 0 1 1 1 0 0 0 24 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 0 1 0 0 1 0 1 0 10 0 0 0 1 1 0 1 0 0 1 0 1 1 11 0 0 1 0 1 0 1 0 0 1 1 0 0 12 0 0 1 1 1 0 1 0 0 1 1 0 1 13 0 1 0 0 1 0 1 0 0 1 1 1 0 14 0 1 0 1 1 0 1 0 0 1 1 1 1 15 0 1 1 0 1 0 1 0 1 0 0 0 0 16 0 1 1 1 1 0 1 0 1 0 0 0 1 17 1 0 0 0 1 0 1 0 1 0 0 1 0 18 1 0 0 1 1 0 1 0 1 0 0 1 1 19 1 0 1 0 1 0 1 0 1 0 1 0 0 20 1 0 1 1 1 0 1 0 1 0 1 0 1 21 1 1 0 0 1 0 1 0 1 0 1 1 0 22 1 1 0 1 1 0 1 0 1 0 1 1 1 23 1 1 1 0 1 0 1 0 1 1 0 0 0 24 1 1 1 1 1 0 1 0 1 1 0 0 1 25
  • 9. A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 0 1 1 0 1 0 1 1 11 0 0 0 1 1 0 1 1 0 1 1 0 0 12 0 0 1 0 1 0 1 1 0 1 1 0 1 13 0 0 1 1 1 0 1 1 0 1 1 1 0 14 0 1 0 0 1 0 1 1 0 1 1 1 1 15 0 1 0 1 1 0 1 1 1 0 0 0 0 16 0 1 1 0 1 0 1 1 1 0 0 0 1 17 0 1 1 1 1 0 1 1 1 0 0 1 0 18 1 0 0 0 1 0 1 1 1 0 0 1 1 19 1 0 0 1 1 0 1 1 1 0 1 0 0 20 1 0 1 0 1 0 1 1 1 0 1 0 1 21 1 0 1 1 1 0 1 1 1 0 1 1 0 22 1 1 0 0 1 0 1 1 1 0 1 1 1 23 1 1 0 1 1 0 1 1 1 1 0 0 0 24 1 1 1 0 1 0 1 1 1 1 0 0 1 25 1 1 1 1 1 0 1 1 1 1 0 1 0 26 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 1 0 0 0 1 1 0 0 12 0 0 0 1 1 1 0 0 0 1 1 0 1 13 0 0 1 0 1 1 0 0 0 1 1 1 0 14 0 0 1 1 1 1 0 0 1 1 1 1 1 15 0 1 0 0 1 1 0 0 1 0 0 0 0 16 0 1 0 1 1 1 0 0 1 0 0 0 1 17 0 1 1 0 1 1 0 0 1 0 0 1 0 18 0 1 1 1 1 1 0 0 1 0 0 1 1 19 1 0 0 0 1 1 0 0 1 0 1 0 0 20 1 0 0 1 1 1 0 0 1 0 1 0 1 21 1 0 1 0 1 1 0 0 1 0 1 1 0 22 1 0 1 1 1 1 0 0 1 0 1 1 1 23 1 1 0 0 1 1 0 0 1 1 0 0 0 24 1 1 0 1 1 1 0 0 1 1 0 0 1 25 1 1 1 0 1 1 0 0 1 1 0 1 0 26 1 1 1 1 1 1 0 0 1 1 0 1 1 27
  • 10. A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 1 0 1 0 1 1 0 1 13 0 0 0 1 1 1 0 1 0 1 1 1 0 14 0 0 1 0 1 1 0 1 0 1 1 1 1 15 0 0 1 1 1 1 0 1 1 0 0 0 0 16 0 1 0 0 1 1 0 1 1 0 0 0 1 17 0 1 0 1 1 1 0 1 1 0 0 1 0 18 0 1 1 0 1 1 0 1 1 0 0 1 1 19 0 1 1 1 1 1 0 1 1 0 1 0 0 20 1 0 0 0 1 1 0 1 1 0 1 0 1 21 1 0 0 1 1 1 0 1 1 0 1 1 0 22 1 0 1 0 1 1 0 1 1 0 1 1 1 23 1 0 1 1 1 1 0 1 1 1 0 0 0 24 1 1 0 0 1 1 0 1 1 1 0 0 1 25 1 1 0 1 1 1 0 1 1 1 0 1 0 26 1 1 1 0 1 1 0 1 1 1 0 1 1 27 1 1 1 1 1 1 0 1 1 1 1 0 0 28 A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 1 1 0 0 1 1 1 0 14 0 0 0 1 1 1 1 0 0 1 1 1 1 15 0 0 1 0 1 1 1 0 1 0 0 0 0 16 0 0 1 1 1 1 1 0 1 0 0 0 1 17 0 1 0 0 1 1 1 0 1 0 0 1 0 18 0 1 0 1 1 1 1 0 1 0 0 1 1 19 0 1 1 0 1 1 1 0 1 0 1 0 0 20 0 1 1 1 1 1 1 0 1 0 1 0 1 21 1 0 0 0 1 1 1 0 1 0 1 1 0 22 1 0 0 1 1 1 1 0 1 0 1 1 1 23 1 0 1 0 1 1 1 0 1 1 0 0 0 24 1 0 1 1 1 1 1 0 1 1 0 0 1 25 1 1 0 0 1 1 1 0 1 1 0 1 0 26 1 1 0 1 1 1 1 0 1 1 0 1 1 27 1 1 1 0 1 1 1 0 1 1 1 0 0 28 1 1 1 1 1 1 1 0 1 1 1 0 1 29
  • 11. A1 A2 A3 A4 B1 B2 B3 B4 Overflow L1 L2 L3 L4 R decimal 0 0 0 0 1 1 1 1 0 1 1 1 1 15 0 0 0 1 1 1 1 1 1 0 0 0 0 16 0 0 1 0 1 1 1 1 1 0 0 0 1 17 0 0 1 1 1 1 1 1 1 0 0 1 0 18 0 1 0 0 1 1 1 1 1 0 0 1 1 19 0 1 0 1 1 1 1 1 1 0 1 0 0 20 0 1 1 0 1 1 1 1 1 0 1 0 1 21 0 1 1 1 1 1 1 1 1 0 1 1 0 22 1 0 0 0 1 1 1 1 1 0 1 1 1 23 1 0 0 1 1 1 1 1 1 1 0 0 0 24 1 0 1 0 1 1 1 1 1 1 0 0 1 25 1 0 1 1 1 1 1 1 1 1 0 1 0 26 1 1 0 0 1 1 1 1 1 1 0 1 1 27 1 1 0 1 1 1 1 1 1 1 1 0 0 28 1 1 1 0 1 1 1 1 1 1 1 0 1 29 1 1 1 1 1 1 1 1 1 1 1 1 0 30
  • 12. MAPASDE KARNOUGHDEL SUMADOR DE 4 BITS (A’CDE’FH) +(A’BDE’GH) +(A’BCDE’H) +(ACDEFH) + (ABDEGH) + (ABCEG) + (ABCDEH) + (AE’F’G’H’) +(AD’E’F’G’) +(AC’E’F’H’) + (AC’E’F’G’) +(AC’D’E’F’) +(AB’E’G’H’) +(AB’E’F’) +(AB’D’E’G’) +(AB’C’E’H’) +(AB’C’E’G’) +(AB’C’D’E’) +(A’EF’G’H’) +(A’D’EF’G’) + (A’C’EF’H’) +(A’C’EF’G’) +(A’C’D’EF’) +(A’B’EG’H’) +(A’B’EF’) +(A’B’D’EG’) +(A’B’C’E) +(A’CE’FG) + (A’BE’F) + (A’BCE’G) + (ACEFG) + (ABEF) + (A’B’C’DFGH) +(B’C’DEFGH)
  • 13. (B’DF’GH) + (B’CDF’H) + (BDFGH) + (BCDFH) + (BF’G’H’) + (BD’F’G’) + (BC’F’H’) +(BC’F’G’) + (BC’D’F’) + (B’FG’H’) + (B’D’FG’) +(B’C’FH’) + (B’C’FG’) + (B’C’D’F) +(B’CF’G) + (BCFG) + (A’B’C’DEGH)
  • 14. (CDGH) + (CG’H’) + (CD’G’) + (C’GH’) + (C’DG’H) + (C’D’G) + (A’B’C’DEFH)
  • 15. (DG’H’) + (DF’H’) + (DE’H’) + (BDH’) + (ADH’) + (D’H) + (A’B’C’DEFG)
  • 16. (DEFGH) + (CEFG) + (CDEFH) + (BEF) + (BDEGH) + (BCEG) + (BCDEH) + (AE) + (ADFGH) + (ACFG) + (ACDFH) + (ABGH) + (ABF) + (ABCG) + (ABCDH)