SlideShare a Scribd company logo
EJERCICIOS
PROPUESTOS
ALGEBRA DE BOOLE
YOSEL EVIEZ
SAIA ´A´
1. Demostrar si los siguientes polinomios son equivalentes: P (w, x, y, z) = wx + (x’’ + z’) + (y +
z’) y Q (w, x, y, z) = x + z’ + y
Primero simplifico P(w,x,y,z) = wx + (x´´+z´´)+(y+z´)
➢ P(w,x,y,z) = wx + (x´´+z´´) + (y+z´)
➢ wx + (x´+z´) + (y+z´) INVOLUTIVA EN X´´=X
➢ (wx + x´) + (z´+y+z´) ASOCIATIVA
➢ x + (z´+y+z´) ABSORCIÓN EN WX+X
➢ x + (z´+z´) + y ASOCIATIVA
➢ x + z´+ y IDEMPOTENCIA
Por lo tanto tenemos que: P(w,x,y,z) = Q(w,x,y,z) = x + z´ + y
2. Encuentre el circuito lógico y la tabla de verdad asociado al siguiente polinomio (Valor 2%). P
(w, x, y, z) = wx + (x’’ + z’)´ + (yz’)´w
Aplicamos la fórmula para obtener el número de combinaciones según las variables 2 exp n sabiendo que n=var.
n=w,x,y,z / n=4
2 exp 4 = 16 combinaciones
ahora, hacemos la tabla de verdad correspondiente, con 16 combinaciones:
W X Y Z WX + (X´´+Z´)´ + (YZ´)´ W
0 0 0 0 0.0+(0´´+0´)´+(0.0´)´.0 1
0 0 0 1 0.0+(0´´+1´)+(0.1´)´.0 1
0 0 1 0 0.0+(0´´+0´)´+(1.0´)´.0 0
0 0 1 1 0.0+(0´´1´)´+(1.1´)´.0 1
0 1 0 0 0.1+(1´´+0´)´+(0.0´)´.0 0
0 1 0 1 0.1+(1´´+1´)´+(0.1´)´.0 0
0 1 1 0 0.1+(1´´+0´)´+(1.0´)´.0 0
0 1 1 1 0.1+(1´´+1´)´+(1.1´)´.0 0
1 0 0 0 1.0+(0´´+0´)´+(0.0´)´.1 1
1 0 0 1 1.0+(0´´+1´)´+(0.1´)´.1 1
1 0 1 0 1.0+(0´´+0´)´+(1.0´)´.1 0
1 0 1 1 1.0+(0´´+1´)´+(1.1´)´.1 1
1 1 0 0 1.1+(1´´+0´)´+(0.0´)´.1 1
1 1 0 1 1.1+(1´´+1´)´+(0.1´)´.1 1
1 1 1 0 1.1+(1´´+0´)+(1.0´)´.1 1
1 1 1 1 1.1+(1´´+1´)´+(1.1´).1 1
w x y z
A
N
D
O
R
A
N
D
A
N
D
O
R
WX
x´ x´´
z´
z´
y
x´´+z´
yz´ (yz´)´
(x´´+z´)´
O
R
wx+(x´´+z´)´
(yz´)´w
wx+(x´´+z´)´+(yz´)´w

More Related Content

What's hot

Lcs & fractional knapsack
Lcs & fractional knapsackLcs & fractional knapsack
Lcs & fractional knapsack
Sajid Hasan
 
1 mathematical challenge_problem
1 mathematical challenge_problem1 mathematical challenge_problem
1 mathematical challenge_problemRussell Childs
 
Derivative of an exponential function
Derivative of an exponential functionDerivative of an exponential function
Derivative of an exponential function
Nadeem Uddin
 
Binomial distribution
Binomial distributionBinomial distribution
Binomial distribution
Moloy De
 
Tugas matematika kelompok_b (2)
Tugas matematika kelompok_b (2)Tugas matematika kelompok_b (2)
Tugas matematika kelompok_b (2)tawitasari
 
Top School in india
Top School in indiaTop School in india
Top School in india
Edhole.com
 
Derivative graphs
Derivative graphsDerivative graphs
Derivative graphs
Shaun Wilson
 
Differntiation
 Differntiation Differntiation
Differntiation
DaminiBhuva
 
CRMS Calculus 2010 March 30, 2010
CRMS Calculus 2010 March 30, 2010CRMS Calculus 2010 March 30, 2010
CRMS Calculus 2010 March 30, 2010
Fountain Valley School of Colorado
 
x and y intercepts 2012-13 edmodo
x and y intercepts 2012-13 edmodox and y intercepts 2012-13 edmodo
x and y intercepts 2012-13 edmodoshumwayc
 
Lesson 3 finding x and y intercepts shared
Lesson 3   finding x and y intercepts sharedLesson 3   finding x and y intercepts shared
Lesson 3 finding x and y intercepts sharedMarek Dzianott
 
Hitting a home run factorising
Hitting a home run factorisingHitting a home run factorising
Hitting a home run factorising
Angela Phillips
 
Expresiones algebraicas
Expresiones algebraicasExpresiones algebraicas
Expresiones algebraicas
wiscarleisrodriguez
 

What's hot (20)

Lcs & fractional knapsack
Lcs & fractional knapsackLcs & fractional knapsack
Lcs & fractional knapsack
 
1 mathematical challenge_problem
1 mathematical challenge_problem1 mathematical challenge_problem
1 mathematical challenge_problem
 
ppt of Calculus
ppt of Calculusppt of Calculus
ppt of Calculus
 
Derivative of an exponential function
Derivative of an exponential functionDerivative of an exponential function
Derivative of an exponential function
 
Binomial distribution
Binomial distributionBinomial distribution
Binomial distribution
 
Math
MathMath
Math
 
Doris perdomo
Doris perdomoDoris perdomo
Doris perdomo
 
Tugas matematika kelompok_b (2)
Tugas matematika kelompok_b (2)Tugas matematika kelompok_b (2)
Tugas matematika kelompok_b (2)
 
Top School in india
Top School in indiaTop School in india
Top School in india
 
7 chap
7 chap7 chap
7 chap
 
Jeopardy Template
Jeopardy TemplateJeopardy Template
Jeopardy Template
 
Derivative graphs
Derivative graphsDerivative graphs
Derivative graphs
 
Ex
ExEx
Ex
 
Differntiation
 Differntiation Differntiation
Differntiation
 
CRMS Calculus 2010 March 30, 2010
CRMS Calculus 2010 March 30, 2010CRMS Calculus 2010 March 30, 2010
CRMS Calculus 2010 March 30, 2010
 
x and y intercepts 2012-13 edmodo
x and y intercepts 2012-13 edmodox and y intercepts 2012-13 edmodo
x and y intercepts 2012-13 edmodo
 
Lesson 3 finding x and y intercepts shared
Lesson 3   finding x and y intercepts sharedLesson 3   finding x and y intercepts shared
Lesson 3 finding x and y intercepts shared
 
Kwp2 091217
Kwp2 091217Kwp2 091217
Kwp2 091217
 
Hitting a home run factorising
Hitting a home run factorisingHitting a home run factorising
Hitting a home run factorising
 
Expresiones algebraicas
Expresiones algebraicasExpresiones algebraicas
Expresiones algebraicas
 

More from Yosel97

Cuadro de diferencias
Cuadro de diferenciasCuadro de diferencias
Cuadro de diferencias
Yosel97
 
Sistemas multimedia
Sistemas multimediaSistemas multimedia
Sistemas multimedia
Yosel97
 
Mentefacto
MentefactoMentefacto
Mentefacto
Yosel97
 
Calidad y estandarizacion
Calidad y estandarizacionCalidad y estandarizacion
Calidad y estandarizacion
Yosel97
 
Revista Digital
Revista Digital Revista Digital
Revista Digital
Yosel97
 
Revista Digital
Revista Digital Revista Digital
Revista Digital
Yosel97
 
Computacion y sus aplicaciones
Computacion y sus aplicacionesComputacion y sus aplicaciones
Computacion y sus aplicaciones
Yosel97
 
SIstemas Operativos y su desarrollo en la actualidad
SIstemas Operativos y su desarrollo en la actualidadSIstemas Operativos y su desarrollo en la actualidad
SIstemas Operativos y su desarrollo en la actualidad
Yosel97
 
Conceptos básicos de la estadistica
Conceptos básicos de la estadisticaConceptos básicos de la estadistica
Conceptos básicos de la estadistica
Yosel97
 
REVISTA DIGITAL M.E.F
REVISTA DIGITAL M.E.FREVISTA DIGITAL M.E.F
REVISTA DIGITAL M.E.F
Yosel97
 
CPO Para Estructuras discretas 2
CPO Para Estructuras discretas 2CPO Para Estructuras discretas 2
CPO Para Estructuras discretas 2
Yosel97
 
GRAFOS
GRAFOSGRAFOS
GRAFOS
Yosel97
 
REVISTA GRAFOS ESTRUCTURA DE DATOS II
REVISTA GRAFOS ESTRUCTURA DE DATOS IIREVISTA GRAFOS ESTRUCTURA DE DATOS II
REVISTA GRAFOS ESTRUCTURA DE DATOS II
Yosel97
 
Yosel Eviez, Metodos de Solucion de Ecuaciones Lineales
Yosel Eviez, Metodos de Solucion de Ecuaciones LinealesYosel Eviez, Metodos de Solucion de Ecuaciones Lineales
Yosel Eviez, Metodos de Solucion de Ecuaciones Lineales
Yosel97
 
Colas
ColasColas
Colas
Yosel97
 
Yosel eviez
Yosel eviezYosel eviez
Yosel eviez
Yosel97
 
Universidad fermin toro decanato de ingeniería cabudare
Universidad fermin toro  decanato de ingeniería cabudareUniversidad fermin toro  decanato de ingeniería cabudare
Universidad fermin toro decanato de ingeniería cabudare
Yosel97
 
Universidad fermin toro decanato de ingeniería cabudare
Universidad fermin toro  decanato de ingeniería cabudareUniversidad fermin toro  decanato de ingeniería cabudare
Universidad fermin toro decanato de ingeniería cabudare
Yosel97
 
yosel eviez
yosel eviezyosel eviez
yosel eviez
Yosel97
 
yosel eviez
yosel eviezyosel eviez
yosel eviez
Yosel97
 

More from Yosel97 (20)

Cuadro de diferencias
Cuadro de diferenciasCuadro de diferencias
Cuadro de diferencias
 
Sistemas multimedia
Sistemas multimediaSistemas multimedia
Sistemas multimedia
 
Mentefacto
MentefactoMentefacto
Mentefacto
 
Calidad y estandarizacion
Calidad y estandarizacionCalidad y estandarizacion
Calidad y estandarizacion
 
Revista Digital
Revista Digital Revista Digital
Revista Digital
 
Revista Digital
Revista Digital Revista Digital
Revista Digital
 
Computacion y sus aplicaciones
Computacion y sus aplicacionesComputacion y sus aplicaciones
Computacion y sus aplicaciones
 
SIstemas Operativos y su desarrollo en la actualidad
SIstemas Operativos y su desarrollo en la actualidadSIstemas Operativos y su desarrollo en la actualidad
SIstemas Operativos y su desarrollo en la actualidad
 
Conceptos básicos de la estadistica
Conceptos básicos de la estadisticaConceptos básicos de la estadistica
Conceptos básicos de la estadistica
 
REVISTA DIGITAL M.E.F
REVISTA DIGITAL M.E.FREVISTA DIGITAL M.E.F
REVISTA DIGITAL M.E.F
 
CPO Para Estructuras discretas 2
CPO Para Estructuras discretas 2CPO Para Estructuras discretas 2
CPO Para Estructuras discretas 2
 
GRAFOS
GRAFOSGRAFOS
GRAFOS
 
REVISTA GRAFOS ESTRUCTURA DE DATOS II
REVISTA GRAFOS ESTRUCTURA DE DATOS IIREVISTA GRAFOS ESTRUCTURA DE DATOS II
REVISTA GRAFOS ESTRUCTURA DE DATOS II
 
Yosel Eviez, Metodos de Solucion de Ecuaciones Lineales
Yosel Eviez, Metodos de Solucion de Ecuaciones LinealesYosel Eviez, Metodos de Solucion de Ecuaciones Lineales
Yosel Eviez, Metodos de Solucion de Ecuaciones Lineales
 
Colas
ColasColas
Colas
 
Yosel eviez
Yosel eviezYosel eviez
Yosel eviez
 
Universidad fermin toro decanato de ingeniería cabudare
Universidad fermin toro  decanato de ingeniería cabudareUniversidad fermin toro  decanato de ingeniería cabudare
Universidad fermin toro decanato de ingeniería cabudare
 
Universidad fermin toro decanato de ingeniería cabudare
Universidad fermin toro  decanato de ingeniería cabudareUniversidad fermin toro  decanato de ingeniería cabudare
Universidad fermin toro decanato de ingeniería cabudare
 
yosel eviez
yosel eviezyosel eviez
yosel eviez
 
yosel eviez
yosel eviezyosel eviez
yosel eviez
 

Recently uploaded

The geography of Taylor Swift - some ideas
The geography of Taylor Swift - some ideasThe geography of Taylor Swift - some ideas
The geography of Taylor Swift - some ideas
GeoBlogs
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
Atul Kumar Singh
 
Cambridge International AS A Level Biology Coursebook - EBook (MaryFosbery J...
Cambridge International AS  A Level Biology Coursebook - EBook (MaryFosbery J...Cambridge International AS  A Level Biology Coursebook - EBook (MaryFosbery J...
Cambridge International AS A Level Biology Coursebook - EBook (MaryFosbery J...
AzmatAli747758
 
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCECLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
BhavyaRajput3
 
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxStudents, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
EduSkills OECD
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
Jisc
 
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdfUnit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Thiyagu K
 
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
EugeneSaldivar
 
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
MysoreMuleSoftMeetup
 
The French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free downloadThe French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free download
Vivekanand Anglo Vedic Academy
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
siemaillard
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
JosvitaDsouza2
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
EverAndrsGuerraGuerr
 
Palestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptxPalestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptx
RaedMohamed3
 
How to Split Bills in the Odoo 17 POS Module
How to Split Bills in the Odoo 17 POS ModuleHow to Split Bills in the Odoo 17 POS Module
How to Split Bills in the Odoo 17 POS Module
Celine George
 
Chapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptxChapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
Basic phrases for greeting and assisting costumers
Basic phrases for greeting and assisting costumersBasic phrases for greeting and assisting costumers
Basic phrases for greeting and assisting costumers
PedroFerreira53928
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
siemaillard
 
How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...
Jisc
 
PART A. Introduction to Costumer Service
PART A. Introduction to Costumer ServicePART A. Introduction to Costumer Service
PART A. Introduction to Costumer Service
PedroFerreira53928
 

Recently uploaded (20)

The geography of Taylor Swift - some ideas
The geography of Taylor Swift - some ideasThe geography of Taylor Swift - some ideas
The geography of Taylor Swift - some ideas
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
 
Cambridge International AS A Level Biology Coursebook - EBook (MaryFosbery J...
Cambridge International AS  A Level Biology Coursebook - EBook (MaryFosbery J...Cambridge International AS  A Level Biology Coursebook - EBook (MaryFosbery J...
Cambridge International AS A Level Biology Coursebook - EBook (MaryFosbery J...
 
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCECLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
 
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxStudents, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
 
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdfUnit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdf
 
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
 
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
 
The French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free downloadThe French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free download
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
 
Palestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptxPalestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptx
 
How to Split Bills in the Odoo 17 POS Module
How to Split Bills in the Odoo 17 POS ModuleHow to Split Bills in the Odoo 17 POS Module
How to Split Bills in the Odoo 17 POS Module
 
Chapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptxChapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptx
 
Basic phrases for greeting and assisting costumers
Basic phrases for greeting and assisting costumersBasic phrases for greeting and assisting costumers
Basic phrases for greeting and assisting costumers
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
 
How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...
 
PART A. Introduction to Costumer Service
PART A. Introduction to Costumer ServicePART A. Introduction to Costumer Service
PART A. Introduction to Costumer Service
 

EJERCICIOS PROPUESTOS DE BOOLE

  • 2. 1. Demostrar si los siguientes polinomios son equivalentes: P (w, x, y, z) = wx + (x’’ + z’) + (y + z’) y Q (w, x, y, z) = x + z’ + y Primero simplifico P(w,x,y,z) = wx + (x´´+z´´)+(y+z´) ➢ P(w,x,y,z) = wx + (x´´+z´´) + (y+z´) ➢ wx + (x´+z´) + (y+z´) INVOLUTIVA EN X´´=X ➢ (wx + x´) + (z´+y+z´) ASOCIATIVA ➢ x + (z´+y+z´) ABSORCIÓN EN WX+X ➢ x + (z´+z´) + y ASOCIATIVA ➢ x + z´+ y IDEMPOTENCIA Por lo tanto tenemos que: P(w,x,y,z) = Q(w,x,y,z) = x + z´ + y
  • 3. 2. Encuentre el circuito lógico y la tabla de verdad asociado al siguiente polinomio (Valor 2%). P (w, x, y, z) = wx + (x’’ + z’)´ + (yz’)´w Aplicamos la fórmula para obtener el número de combinaciones según las variables 2 exp n sabiendo que n=var. n=w,x,y,z / n=4 2 exp 4 = 16 combinaciones ahora, hacemos la tabla de verdad correspondiente, con 16 combinaciones:
  • 4. W X Y Z WX + (X´´+Z´)´ + (YZ´)´ W 0 0 0 0 0.0+(0´´+0´)´+(0.0´)´.0 1 0 0 0 1 0.0+(0´´+1´)+(0.1´)´.0 1 0 0 1 0 0.0+(0´´+0´)´+(1.0´)´.0 0 0 0 1 1 0.0+(0´´1´)´+(1.1´)´.0 1 0 1 0 0 0.1+(1´´+0´)´+(0.0´)´.0 0 0 1 0 1 0.1+(1´´+1´)´+(0.1´)´.0 0 0 1 1 0 0.1+(1´´+0´)´+(1.0´)´.0 0 0 1 1 1 0.1+(1´´+1´)´+(1.1´)´.0 0 1 0 0 0 1.0+(0´´+0´)´+(0.0´)´.1 1 1 0 0 1 1.0+(0´´+1´)´+(0.1´)´.1 1 1 0 1 0 1.0+(0´´+0´)´+(1.0´)´.1 0 1 0 1 1 1.0+(0´´+1´)´+(1.1´)´.1 1 1 1 0 0 1.1+(1´´+0´)´+(0.0´)´.1 1 1 1 0 1 1.1+(1´´+1´)´+(0.1´)´.1 1 1 1 1 0 1.1+(1´´+0´)+(1.0´)´.1 1 1 1 1 1 1.1+(1´´+1´)´+(1.1´).1 1 w x y z A N D O R A N D A N D O R WX x´ x´´ z´ z´ y x´´+z´ yz´ (yz´)´ (x´´+z´)´ O R wx+(x´´+z´)´ (yz´)´w wx+(x´´+z´)´+(yz´)´w