SlideShare a Scribd company logo
Minimización de funciones
Booleanas
• Métodos algebraicos
F1 (B,C)= 1+B’+C
F1 (B,C)= 1
1.-Identidades
2.- Factorización
AB’ + AB = A(B’+B)= A
3.- Propiedad Distributiva
X+YZ = (X+Y) (X+Z)
X (Y+Z) = XY +XZ
4.-Teorema del consenso
AB+A’C+BC = AB+A’C
5.-Teorema de Dmorgan
(AB)’=A’+ B’ (A+B)’=A’ B’
A+B =(A’ B’)’ AB =(A’+B’)’
AND OR
A A=A A + A=A
A 0 =0 A + 0 = A
A 1 =A A + 1 =1
A A’ =0 A+A’ =1
F2 (D,C)= DC’(0)
F2 (D,C)= 0
1.-Identidades
2.- Factorización
AB’ + AB = A(B’+B)= A
3.- Propiedad Distributiva
X+YZ = (X+Y) (X+Z)
X (Y+Z) = XY +XZ
4.-Teorema del consenso
AB+A’C+BC = AB+A’C
5.-Teorema de Dmorgan
(AB)’=A’+ B’ (A+B)’=A’ B’
A+B =(A’ B’)’ AB =(A’+B’)’
AND OR
A A=A A + A=A
A 0 =0 A + 0 = A
A 1 =A A + 1 =1
A A’ =0 A+A’ =1
F3 (A, B) = A’+B+A
F3 (A, B) = 1
1.-Identidades
2.- Factorización
AB’ + AB = A(B’+B)= A
3.- Propiedad Distributiva
X+YZ = (X+Y) (X+Z)
X (Y+Z) = XY +XZ
4.-Teorema del consenso
AB+A’C+BC = AB+A’C
5.-Teorema de Dmorgan
(AB)’=A’+ B’ (A+B)’=A’ B’
A+B =(A’ B’)’ AB =(A’+B’)’
AND OR
A A=A A + A=A
A 0 =0 A + 0 = A
A 1 =A A + 1 =1
A A’ =0 A+A’ =1
F4 (A,,B,C) = A+A’BC
F4 (A,,B,C)=(A+A’)(A+BC)
F4 (A,,B,C)=A+BC
1.-Identidades
2.- Factorización
AB’ + AB = A(B’+B)= A
3.- Propiedad Distributiva
X+YZ = (X+Y) (X+Z)
X (Y+Z) = XY +XZ
4.-Teorema del consenso
AB+A’C+BC = AB+A’C
5.-Teorema de Dmorgan
(AB)’=A’+ B’ (A+B)’=A’ B’
A+B =(A’ B’)’ AB =(A’+B’)’
AND OR
A A=A A + A=A
A 0 =0 A + 0 = A
A 1 =A A + 1 =1
A A’ =0 A+A’ =1
F4 (A,,B,C) = A+A’BC
F4 (A,,B,C)=(A+A’)(A+BC)
F4 (A,,B,C)=A+BC
1.-Identidades
2.- Factorización
AB’ + AB = A(B’+B)= A
3.- Propiedad Distributiva
X+YZ = (X+Y) (X+Z)
X (Y+Z) = XY +XZ
4.-Teorema del consenso
AB+A’C+BC = AB+A’C
5.-Teorema de Dmorgan
(AB)’=A’+ B’ (A+B)’=A’ B’
A+B =(A’ B’)’ AB =(A’+B’)’
AND OR
A A=A A + A=A
A 0 =0 A + 0 = A
A 1 =A A + 1 =1
A A’ =0 A+A’ =1
1.-Identidades
2.- Factorización
AB’ + AB = A(B’+B)= A
3.- Propiedad Distributiva
X+YZ = (X+Y) (X+Z)
X (Y+Z) = XY +XZ
4.-Teorema del consenso
AB+A’C+BC = AB+A’C
5.-Teorema de Dmorgan
(AB)’=A’+ B’ (A+B)’=A’ B’
A+B =(A’ B’)’ AB =(A’+B’)’
AND OR
A A=A A + A=A
A 0 =0 A + 0 = A
A 1 =A A + 1 =1
A A’ =0 A+A’ =1

More Related Content

What's hot

GTA Noveno Teorema de Pitágoras.
GTA Noveno  Teorema de Pitágoras. GTA Noveno  Teorema de Pitágoras.
GTA Noveno Teorema de Pitágoras.
MEP
 
Math project
Math projectMath project
Math project
jnguyen20
 
Função quadrática resumo teórico e exercícios - celso brasil
Função quadrática   resumo teórico e exercícios - celso brasilFunção quadrática   resumo teórico e exercícios - celso brasil
Função quadrática resumo teórico e exercícios - celso brasil
Celso do Rozário Brasil Gonçalves
 
FUNÇÃO EXPONENCIAL E LOGARÍTMICA
FUNÇÃO EXPONENCIAL E LOGARÍTMICAFUNÇÃO EXPONENCIAL E LOGARÍTMICA
FUNÇÃO EXPONENCIAL E LOGARÍTMICA
Celso do Rozário Brasil Gonçalves
 
Ejercicios radhames ultima unidad
Ejercicios radhames ultima unidadEjercicios radhames ultima unidad
Ejercicios radhames ultima unidad
yusmelycardoza
 
Writing quadratic equation
Writing quadratic equationWriting quadratic equation
Writing quadratic equation
MartinGeraldine
 
MATHS SYMBOLS - #1 - EXPONENTIALS and THEIR PROPERTIES
MATHS SYMBOLS - #1 - EXPONENTIALS and THEIR PROPERTIESMATHS SYMBOLS - #1 - EXPONENTIALS and THEIR PROPERTIES
MATHS SYMBOLS - #1 - EXPONENTIALS and THEIR PROPERTIES
Ist. Superiore Marini-Gioia - Enzo Exposyto
 
Math 3-H6
Math 3-H6Math 3-H6
Math 3-H6
jjlendaya
 
2.5 conic sections circles-t
2.5 conic sections circles-t2.5 conic sections circles-t
2.5 conic sections circles-t
math260
 
Expresiones algebraicas
Expresiones algebraicasExpresiones algebraicas
Expresiones algebraicas
MoisesVasquez20
 
2.6 ellipses t
2.6 ellipses t2.6 ellipses t
2.6 ellipses t
math260
 

What's hot (15)

Multiplicacion de polinomios 1ro
Multiplicacion de polinomios   1roMultiplicacion de polinomios   1ro
Multiplicacion de polinomios 1ro
 
GTA Noveno Teorema de Pitágoras.
GTA Noveno  Teorema de Pitágoras. GTA Noveno  Teorema de Pitágoras.
GTA Noveno Teorema de Pitágoras.
 
Math project
Math projectMath project
Math project
 
Função quadrática resumo teórico e exercícios - celso brasil
Função quadrática   resumo teórico e exercícios - celso brasilFunção quadrática   resumo teórico e exercícios - celso brasil
Função quadrática resumo teórico e exercícios - celso brasil
 
Quadratic functions
Quadratic functionsQuadratic functions
Quadratic functions
 
FUNÇÃO EXPONENCIAL E LOGARÍTMICA
FUNÇÃO EXPONENCIAL E LOGARÍTMICAFUNÇÃO EXPONENCIAL E LOGARÍTMICA
FUNÇÃO EXPONENCIAL E LOGARÍTMICA
 
Ejercicios radhames ultima unidad
Ejercicios radhames ultima unidadEjercicios radhames ultima unidad
Ejercicios radhames ultima unidad
 
Writing quadratic equation
Writing quadratic equationWriting quadratic equation
Writing quadratic equation
 
Alg2 lesson 8-2
Alg2 lesson 8-2Alg2 lesson 8-2
Alg2 lesson 8-2
 
MATHS SYMBOLS - #1 - EXPONENTIALS and THEIR PROPERTIES
MATHS SYMBOLS - #1 - EXPONENTIALS and THEIR PROPERTIESMATHS SYMBOLS - #1 - EXPONENTIALS and THEIR PROPERTIES
MATHS SYMBOLS - #1 - EXPONENTIALS and THEIR PROPERTIES
 
Math 3-H6
Math 3-H6Math 3-H6
Math 3-H6
 
2.5 conic sections circles-t
2.5 conic sections circles-t2.5 conic sections circles-t
2.5 conic sections circles-t
 
Expresiones algebraicas
Expresiones algebraicasExpresiones algebraicas
Expresiones algebraicas
 
2.6 ellipses t
2.6 ellipses t2.6 ellipses t
2.6 ellipses t
 
Alg2 lesson 6-1
Alg2 lesson 6-1Alg2 lesson 6-1
Alg2 lesson 6-1
 

Viewers also liked

LIBRO
LIBROLIBRO
Question 3
Question 3Question 3
Question 3
pickfordwill
 
The 13 Colonies
The 13 ColoniesThe 13 Colonies
The 13 Colonies
alexusdenice
 
The 13 Colonies
The 13 ColoniesThe 13 Colonies
The 13 Colonies
guest604ad6da
 
the 13 colonies
the 13 coloniesthe 13 colonies
the 13 colonies
zed92
 
The 13 Colonies
The 13 ColoniesThe 13 Colonies
The 13 Coloniesatillman
 
13 colonies
13 colonies13 colonies
13 colonies
pmsjbe123
 
Compare And Contrast Life In The Colonies To.Ppt Pd 2
Compare And Contrast Life In The Colonies To.Ppt Pd 2Compare And Contrast Life In The Colonies To.Ppt Pd 2
Compare And Contrast Life In The Colonies To.Ppt Pd 2
smulvey777
 
13 English Colonies
13 English Colonies13 English Colonies
13 English ColoniesRad4
 
Trees, deciduous and coniferous (teach)
Trees, deciduous and coniferous (teach) Trees, deciduous and coniferous (teach)
Trees, deciduous and coniferous (teach)
Moira Whitehouse
 
Life in the 13 colonies
Life in the 13 coloniesLife in the 13 colonies
Life in the 13 coloniestranphuong91
 
The Thirteen Colonies
The Thirteen ColoniesThe Thirteen Colonies
The Thirteen Colonies
Tricia Tabler
 
13colonies (UNIT 4)
13colonies (UNIT 4)13colonies (UNIT 4)
13colonies (UNIT 4)
Casey Patrick
 

Viewers also liked (16)

LIBRO
LIBROLIBRO
LIBRO
 
Question 3
Question 3Question 3
Question 3
 
The 13 Colonies
The 13 ColoniesThe 13 Colonies
The 13 Colonies
 
13 colonies mnemonic
13 colonies mnemonic13 colonies mnemonic
13 colonies mnemonic
 
The 13 Colonies
The 13 ColoniesThe 13 Colonies
The 13 Colonies
 
the 13 colonies
the 13 coloniesthe 13 colonies
the 13 colonies
 
The 13 Colonies
The 13 ColoniesThe 13 Colonies
The 13 Colonies
 
13 colonies
13 colonies13 colonies
13 colonies
 
Compare And Contrast Life In The Colonies To.Ppt Pd 2
Compare And Contrast Life In The Colonies To.Ppt Pd 2Compare And Contrast Life In The Colonies To.Ppt Pd 2
Compare And Contrast Life In The Colonies To.Ppt Pd 2
 
13 English Colonies
13 English Colonies13 English Colonies
13 English Colonies
 
13 colonies
13 colonies13 colonies
13 colonies
 
Trees, deciduous and coniferous (teach)
Trees, deciduous and coniferous (teach) Trees, deciduous and coniferous (teach)
Trees, deciduous and coniferous (teach)
 
Life in the 13 colonies
Life in the 13 coloniesLife in the 13 colonies
Life in the 13 colonies
 
13 Colonies
13 Colonies13 Colonies
13 Colonies
 
The Thirteen Colonies
The Thirteen ColoniesThe Thirteen Colonies
The Thirteen Colonies
 
13colonies (UNIT 4)
13colonies (UNIT 4)13colonies (UNIT 4)
13colonies (UNIT 4)
 

Similar to 16. simplificar funciones

Adbequipo6
Adbequipo6Adbequipo6
Adbequipo6
Leoner Parra
 
Kuliah 3 Sistem Digital.pptx
Kuliah 3 Sistem Digital.pptxKuliah 3 Sistem Digital.pptx
Kuliah 3 Sistem Digital.pptx
TakaQiYazuru1
 
Answers homework2
Answers homework2Answers homework2
Answers homework2
Iyut Sbono
 
18. simpl met-algebraicos
18. simpl met-algebraicos18. simpl met-algebraicos
18. simpl met-algebraicos
estefaniagomezdelcueto
 
Métodos de simplificación
Métodos de simplificaciónMétodos de simplificación
Métodos de simplificación
lauracruzpal
 
18. simpl met-algebraicos
18. simpl met-algebraicos18. simpl met-algebraicos
18. simpl met-algebraicos
ClauFdzSrz
 
Simplificación funciones Booleanas
Simplificación funciones BooleanasSimplificación funciones Booleanas
Simplificación funciones Booleanas
candebobes
 
simplificacion metodos-algebraicos
 simplificacion metodos-algebraicos simplificacion metodos-algebraicos
simplificacion metodos-algebraicos
joeltecno9
 
18. simpl met-algebraicos
18. simpl met-algebraicos18. simpl met-algebraicos
18. simpl met-algebraicos
MiguelBG11
 
18. simpl met-algebraicos.ppt
18. simpl met-algebraicos.ppt18. simpl met-algebraicos.ppt
18. simpl met-algebraicos.ppt
Marcos Rdguez
 
11. simpl met-algebraicos
11. simpl met-algebraicos11. simpl met-algebraicos
11. simpl met-algebraicos
sonsolesbar
 
11. simpl met algebraicos
11. simpl met algebraicos11. simpl met algebraicos
11. simpl met algebraicos
boounzueta
 
simplificacion sistemas algebraicos
simplificacion sistemas algebraicossimplificacion sistemas algebraicos
simplificacion sistemas algebraicos
PEDROASTURES21
 
Digital Electronics
Digital ElectronicsDigital Electronics
Digital Electronics
Benesh Selvanesan
 
boolean algebra exercises
boolean algebra exercisesboolean algebra exercises
boolean algebra exercises
i i
 
Abdequipo1
Abdequipo1Abdequipo1
Abdequipo1
Rosa Munoz
 
Boolean Algebra SOP POS_Computer Architecture.pdf
Boolean Algebra SOP POS_Computer Architecture.pdfBoolean Algebra SOP POS_Computer Architecture.pdf
Boolean Algebra SOP POS_Computer Architecture.pdf
SangitaBose2
 
Adbequipo2
Adbequipo2Adbequipo2
Adbequipo2
mariennyysea
 
Boolean Algebra logic and De Morgan theorem
Boolean Algebra logic and De Morgan theoremBoolean Algebra logic and De Morgan theorem
Boolean Algebra logic and De Morgan theorem
balafet
 

Similar to 16. simplificar funciones (20)

Adbequipo6
Adbequipo6Adbequipo6
Adbequipo6
 
Kuliah 3 Sistem Digital.pptx
Kuliah 3 Sistem Digital.pptxKuliah 3 Sistem Digital.pptx
Kuliah 3 Sistem Digital.pptx
 
Answers homework2
Answers homework2Answers homework2
Answers homework2
 
18. simpl met-algebraicos
18. simpl met-algebraicos18. simpl met-algebraicos
18. simpl met-algebraicos
 
Métodos de simplificación
Métodos de simplificaciónMétodos de simplificación
Métodos de simplificación
 
18. simpl met-algebraicos
18. simpl met-algebraicos18. simpl met-algebraicos
18. simpl met-algebraicos
 
Simplificación funciones Booleanas
Simplificación funciones BooleanasSimplificación funciones Booleanas
Simplificación funciones Booleanas
 
simplificacion metodos-algebraicos
 simplificacion metodos-algebraicos simplificacion metodos-algebraicos
simplificacion metodos-algebraicos
 
18. simpl met-algebraicos
18. simpl met-algebraicos18. simpl met-algebraicos
18. simpl met-algebraicos
 
18. simpl met-algebraicos.ppt
18. simpl met-algebraicos.ppt18. simpl met-algebraicos.ppt
18. simpl met-algebraicos.ppt
 
11. simpl met-algebraicos
11. simpl met-algebraicos11. simpl met-algebraicos
11. simpl met-algebraicos
 
11. simpl met algebraicos
11. simpl met algebraicos11. simpl met algebraicos
11. simpl met algebraicos
 
simplificacion sistemas algebraicos
simplificacion sistemas algebraicossimplificacion sistemas algebraicos
simplificacion sistemas algebraicos
 
Boolean algebra
Boolean algebraBoolean algebra
Boolean algebra
 
Digital Electronics
Digital ElectronicsDigital Electronics
Digital Electronics
 
boolean algebra exercises
boolean algebra exercisesboolean algebra exercises
boolean algebra exercises
 
Abdequipo1
Abdequipo1Abdequipo1
Abdequipo1
 
Boolean Algebra SOP POS_Computer Architecture.pdf
Boolean Algebra SOP POS_Computer Architecture.pdfBoolean Algebra SOP POS_Computer Architecture.pdf
Boolean Algebra SOP POS_Computer Architecture.pdf
 
Adbequipo2
Adbequipo2Adbequipo2
Adbequipo2
 
Boolean Algebra logic and De Morgan theorem
Boolean Algebra logic and De Morgan theoremBoolean Algebra logic and De Morgan theorem
Boolean Algebra logic and De Morgan theorem
 

More from estefaniagomezdelcueto

9. sistemas de numeracion
9. sistemas de numeracion9. sistemas de numeracion
9. sistemas de numeracion
estefaniagomezdelcueto
 
10. present sist-nume
10. present sist-nume10. present sist-nume
10. present sist-nume
estefaniagomezdelcueto
 
12. cambiosdebase1
12. cambiosdebase112. cambiosdebase1
12. cambiosdebase1
estefaniagomezdelcueto
 
13. conversion sistemas numericos
13. conversion sistemas numericos13. conversion sistemas numericos
13. conversion sistemas numericos
estefaniagomezdelcueto
 
22. c combin-ovejas
22. c combin-ovejas22. c combin-ovejas
22. c combin-ovejas
estefaniagomezdelcueto
 
24. problema aviones
24. problema aviones24. problema aviones
24. problema aviones
estefaniagomezdelcueto
 
21. representacion de funciones semaforo
21. representacion de funciones semaforo21. representacion de funciones semaforo
21. representacion de funciones semaforo
estefaniagomezdelcueto
 
20. leyes morgan
20. leyes morgan20. leyes morgan
20. leyes morgan
estefaniagomezdelcueto
 
23. c comb-ascensor_monedas
23. c comb-ascensor_monedas23. c comb-ascensor_monedas
23. c comb-ascensor_monedas
estefaniagomezdelcueto
 
2. electronica digital
2. electronica digital2. electronica digital
2. electronica digital
estefaniagomezdelcueto
 
1. elec digital
1. elec digital1. elec digital
1. elec digital
estefaniagomezdelcueto
 
3. electronica digital3
3. electronica digital33. electronica digital3
3. electronica digital3
estefaniagomezdelcueto
 
7. sistemas digitales
7. sistemas digitales7. sistemas digitales
7. sistemas digitales
estefaniagomezdelcueto
 
4. electronica digital
4. electronica digital4. electronica digital
4. electronica digital
estefaniagomezdelcueto
 
11. cambios base
11. cambios base11. cambios base
11. cambios base
estefaniagomezdelcueto
 
19. mapas karnaught
19. mapas karnaught19. mapas karnaught
19. mapas karnaught
estefaniagomezdelcueto
 
5. actividades elect-digital
5. actividades elect-digital5. actividades elect-digital
5. actividades elect-digital
estefaniagomezdelcueto
 
14. elect digital
14. elect digital14. elect digital
14. elect digital
estefaniagomezdelcueto
 
6. electro digital
6. electro digital6. electro digital
6. electro digital
estefaniagomezdelcueto
 
17. algebra boole
17. algebra boole17. algebra boole
17. algebra boole
estefaniagomezdelcueto
 

More from estefaniagomezdelcueto (20)

9. sistemas de numeracion
9. sistemas de numeracion9. sistemas de numeracion
9. sistemas de numeracion
 
10. present sist-nume
10. present sist-nume10. present sist-nume
10. present sist-nume
 
12. cambiosdebase1
12. cambiosdebase112. cambiosdebase1
12. cambiosdebase1
 
13. conversion sistemas numericos
13. conversion sistemas numericos13. conversion sistemas numericos
13. conversion sistemas numericos
 
22. c combin-ovejas
22. c combin-ovejas22. c combin-ovejas
22. c combin-ovejas
 
24. problema aviones
24. problema aviones24. problema aviones
24. problema aviones
 
21. representacion de funciones semaforo
21. representacion de funciones semaforo21. representacion de funciones semaforo
21. representacion de funciones semaforo
 
20. leyes morgan
20. leyes morgan20. leyes morgan
20. leyes morgan
 
23. c comb-ascensor_monedas
23. c comb-ascensor_monedas23. c comb-ascensor_monedas
23. c comb-ascensor_monedas
 
2. electronica digital
2. electronica digital2. electronica digital
2. electronica digital
 
1. elec digital
1. elec digital1. elec digital
1. elec digital
 
3. electronica digital3
3. electronica digital33. electronica digital3
3. electronica digital3
 
7. sistemas digitales
7. sistemas digitales7. sistemas digitales
7. sistemas digitales
 
4. electronica digital
4. electronica digital4. electronica digital
4. electronica digital
 
11. cambios base
11. cambios base11. cambios base
11. cambios base
 
19. mapas karnaught
19. mapas karnaught19. mapas karnaught
19. mapas karnaught
 
5. actividades elect-digital
5. actividades elect-digital5. actividades elect-digital
5. actividades elect-digital
 
14. elect digital
14. elect digital14. elect digital
14. elect digital
 
6. electro digital
6. electro digital6. electro digital
6. electro digital
 
17. algebra boole
17. algebra boole17. algebra boole
17. algebra boole
 

Recently uploaded

GenAISummit 2024 May 28 Sri Ambati Keynote: AGI Belongs to The Community in O...
GenAISummit 2024 May 28 Sri Ambati Keynote: AGI Belongs to The Community in O...GenAISummit 2024 May 28 Sri Ambati Keynote: AGI Belongs to The Community in O...
GenAISummit 2024 May 28 Sri Ambati Keynote: AGI Belongs to The Community in O...
Sri Ambati
 
FIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdf
FIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdfFIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdf
FIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdf
FIDO Alliance
 
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Jeffrey Haguewood
 
"Impact of front-end architecture on development cost", Viktor Turskyi
"Impact of front-end architecture on development cost", Viktor Turskyi"Impact of front-end architecture on development cost", Viktor Turskyi
"Impact of front-end architecture on development cost", Viktor Turskyi
Fwdays
 
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
Product School
 
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Thierry Lestable
 
PHP Frameworks: I want to break free (IPC Berlin 2024)
PHP Frameworks: I want to break free (IPC Berlin 2024)PHP Frameworks: I want to break free (IPC Berlin 2024)
PHP Frameworks: I want to break free (IPC Berlin 2024)
Ralf Eggert
 
Accelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish CachingAccelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish Caching
Thijs Feryn
 
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Tobias Schneck
 
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
Product School
 
GraphRAG is All You need? LLM & Knowledge Graph
GraphRAG is All You need? LLM & Knowledge GraphGraphRAG is All You need? LLM & Knowledge Graph
GraphRAG is All You need? LLM & Knowledge Graph
Guy Korland
 
When stars align: studies in data quality, knowledge graphs, and machine lear...
When stars align: studies in data quality, knowledge graphs, and machine lear...When stars align: studies in data quality, knowledge graphs, and machine lear...
When stars align: studies in data quality, knowledge graphs, and machine lear...
Elena Simperl
 
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
Product School
 
JMeter webinar - integration with InfluxDB and Grafana
JMeter webinar - integration with InfluxDB and GrafanaJMeter webinar - integration with InfluxDB and Grafana
JMeter webinar - integration with InfluxDB and Grafana
RTTS
 
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdfFIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance
 
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
UiPathCommunity
 
UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4
DianaGray10
 
Essentials of Automations: Optimizing FME Workflows with Parameters
Essentials of Automations: Optimizing FME Workflows with ParametersEssentials of Automations: Optimizing FME Workflows with Parameters
Essentials of Automations: Optimizing FME Workflows with Parameters
Safe Software
 
How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...
Product School
 
DevOps and Testing slides at DASA Connect
DevOps and Testing slides at DASA ConnectDevOps and Testing slides at DASA Connect
DevOps and Testing slides at DASA Connect
Kari Kakkonen
 

Recently uploaded (20)

GenAISummit 2024 May 28 Sri Ambati Keynote: AGI Belongs to The Community in O...
GenAISummit 2024 May 28 Sri Ambati Keynote: AGI Belongs to The Community in O...GenAISummit 2024 May 28 Sri Ambati Keynote: AGI Belongs to The Community in O...
GenAISummit 2024 May 28 Sri Ambati Keynote: AGI Belongs to The Community in O...
 
FIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdf
FIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdfFIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdf
FIDO Alliance Osaka Seminar: Passkeys and the Road Ahead.pdf
 
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
 
"Impact of front-end architecture on development cost", Viktor Turskyi
"Impact of front-end architecture on development cost", Viktor Turskyi"Impact of front-end architecture on development cost", Viktor Turskyi
"Impact of front-end architecture on development cost", Viktor Turskyi
 
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
 
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
 
PHP Frameworks: I want to break free (IPC Berlin 2024)
PHP Frameworks: I want to break free (IPC Berlin 2024)PHP Frameworks: I want to break free (IPC Berlin 2024)
PHP Frameworks: I want to break free (IPC Berlin 2024)
 
Accelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish CachingAccelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish Caching
 
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
 
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
 
GraphRAG is All You need? LLM & Knowledge Graph
GraphRAG is All You need? LLM & Knowledge GraphGraphRAG is All You need? LLM & Knowledge Graph
GraphRAG is All You need? LLM & Knowledge Graph
 
When stars align: studies in data quality, knowledge graphs, and machine lear...
When stars align: studies in data quality, knowledge graphs, and machine lear...When stars align: studies in data quality, knowledge graphs, and machine lear...
When stars align: studies in data quality, knowledge graphs, and machine lear...
 
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
 
JMeter webinar - integration with InfluxDB and Grafana
JMeter webinar - integration with InfluxDB and GrafanaJMeter webinar - integration with InfluxDB and Grafana
JMeter webinar - integration with InfluxDB and Grafana
 
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdfFIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
 
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
 
UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4
 
Essentials of Automations: Optimizing FME Workflows with Parameters
Essentials of Automations: Optimizing FME Workflows with ParametersEssentials of Automations: Optimizing FME Workflows with Parameters
Essentials of Automations: Optimizing FME Workflows with Parameters
 
How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...
 
DevOps and Testing slides at DASA Connect
DevOps and Testing slides at DASA ConnectDevOps and Testing slides at DASA Connect
DevOps and Testing slides at DASA Connect
 

16. simplificar funciones

  • 2. F1 (B,C)= 1+B’+C F1 (B,C)= 1 1.-Identidades 2.- Factorización AB’ + AB = A(B’+B)= A 3.- Propiedad Distributiva X+YZ = (X+Y) (X+Z) X (Y+Z) = XY +XZ 4.-Teorema del consenso AB+A’C+BC = AB+A’C 5.-Teorema de Dmorgan (AB)’=A’+ B’ (A+B)’=A’ B’ A+B =(A’ B’)’ AB =(A’+B’)’ AND OR A A=A A + A=A A 0 =0 A + 0 = A A 1 =A A + 1 =1 A A’ =0 A+A’ =1
  • 3. F2 (D,C)= DC’(0) F2 (D,C)= 0 1.-Identidades 2.- Factorización AB’ + AB = A(B’+B)= A 3.- Propiedad Distributiva X+YZ = (X+Y) (X+Z) X (Y+Z) = XY +XZ 4.-Teorema del consenso AB+A’C+BC = AB+A’C 5.-Teorema de Dmorgan (AB)’=A’+ B’ (A+B)’=A’ B’ A+B =(A’ B’)’ AB =(A’+B’)’ AND OR A A=A A + A=A A 0 =0 A + 0 = A A 1 =A A + 1 =1 A A’ =0 A+A’ =1
  • 4. F3 (A, B) = A’+B+A F3 (A, B) = 1 1.-Identidades 2.- Factorización AB’ + AB = A(B’+B)= A 3.- Propiedad Distributiva X+YZ = (X+Y) (X+Z) X (Y+Z) = XY +XZ 4.-Teorema del consenso AB+A’C+BC = AB+A’C 5.-Teorema de Dmorgan (AB)’=A’+ B’ (A+B)’=A’ B’ A+B =(A’ B’)’ AB =(A’+B’)’ AND OR A A=A A + A=A A 0 =0 A + 0 = A A 1 =A A + 1 =1 A A’ =0 A+A’ =1
  • 5. F4 (A,,B,C) = A+A’BC F4 (A,,B,C)=(A+A’)(A+BC) F4 (A,,B,C)=A+BC 1.-Identidades 2.- Factorización AB’ + AB = A(B’+B)= A 3.- Propiedad Distributiva X+YZ = (X+Y) (X+Z) X (Y+Z) = XY +XZ 4.-Teorema del consenso AB+A’C+BC = AB+A’C 5.-Teorema de Dmorgan (AB)’=A’+ B’ (A+B)’=A’ B’ A+B =(A’ B’)’ AB =(A’+B’)’ AND OR A A=A A + A=A A 0 =0 A + 0 = A A 1 =A A + 1 =1 A A’ =0 A+A’ =1
  • 6. F4 (A,,B,C) = A+A’BC F4 (A,,B,C)=(A+A’)(A+BC) F4 (A,,B,C)=A+BC 1.-Identidades 2.- Factorización AB’ + AB = A(B’+B)= A 3.- Propiedad Distributiva X+YZ = (X+Y) (X+Z) X (Y+Z) = XY +XZ 4.-Teorema del consenso AB+A’C+BC = AB+A’C 5.-Teorema de Dmorgan (AB)’=A’+ B’ (A+B)’=A’ B’ A+B =(A’ B’)’ AB =(A’+B’)’ AND OR A A=A A + A=A A 0 =0 A + 0 = A A 1 =A A + 1 =1 A A’ =0 A+A’ =1
  • 7. 1.-Identidades 2.- Factorización AB’ + AB = A(B’+B)= A 3.- Propiedad Distributiva X+YZ = (X+Y) (X+Z) X (Y+Z) = XY +XZ 4.-Teorema del consenso AB+A’C+BC = AB+A’C 5.-Teorema de Dmorgan (AB)’=A’+ B’ (A+B)’=A’ B’ A+B =(A’ B’)’ AB =(A’+B’)’ AND OR A A=A A + A=A A 0 =0 A + 0 = A A 1 =A A + 1 =1 A A’ =0 A+A’ =1