SlideShare a Scribd company logo
DIGITAL COMPUTER
ELECTRONICS
Third Edition
By Malvino - Brown
PART 1: DIGITAL PRINCIPLES
CHAPTER 6: ARTHIMATIC LOGIC UNIT
Binary Addition
 Case 1
 Case 2
 Case 3
 Case 4
 Case 5
Rules to Remember
Example:
Binary Subtraction
 EXAMPLE
Half Adders
Full Adders
Binary Adders
Example of Binary Adders
Signed Binary Numbers
Just put the number in the binary format and set the most left bit as 1 so it will the
negative of the number which we put in binary format originally
2’s Complement
 Sign magnitude numbers are easy to understand, but they require too hardware for
subtraction and addition. This has led to the widespread use of complements for binary
arithmetic
 If you take 2’s twice time than you will get the original number
Original Number
1’s Complement
2’s Complement
Chapter#6
Chapter#6

More Related Content

More from Syed Muhammad ALi Shah

Chapter # 7
Chapter # 7Chapter # 7
Chapter # 9
Chapter # 9Chapter # 9
Chapter # 6
Chapter # 6Chapter # 6
Chapter # 5
Chapter # 5Chapter # 5
Chapter # 8
Chapter # 8Chapter # 8
Chapter # 4
Chapter # 4Chapter # 4
Chapter # 10
Chapter # 10Chapter # 10
Chapter # 3
Chapter # 3Chapter # 3
Chapter # 2
Chapter # 2Chapter # 2
Chapter # 1
Chapter # 1Chapter # 1
Chapter#18
Chapter#18Chapter#18
Chapter#17
Chapter#17Chapter#17
Chapter#16
Chapter#16Chapter#16
Chapter#15
Chapter#15Chapter#15
Chapter#14
Chapter#14Chapter#14
Chapter#13
Chapter#13Chapter#13
Chapter#9
Chapter#9Chapter#9
Chapter#14
Chapter#14Chapter#14
Chapter#13
Chapter#13Chapter#13
Chapter#12
Chapter#12Chapter#12

More from Syed Muhammad ALi Shah (20)

Chapter # 7
Chapter # 7Chapter # 7
Chapter # 7
 
Chapter # 9
Chapter # 9Chapter # 9
Chapter # 9
 
Chapter # 6
Chapter # 6Chapter # 6
Chapter # 6
 
Chapter # 5
Chapter # 5Chapter # 5
Chapter # 5
 
Chapter # 8
Chapter # 8Chapter # 8
Chapter # 8
 
Chapter # 4
Chapter # 4Chapter # 4
Chapter # 4
 
Chapter # 10
Chapter # 10Chapter # 10
Chapter # 10
 
Chapter # 3
Chapter # 3Chapter # 3
Chapter # 3
 
Chapter # 2
Chapter # 2Chapter # 2
Chapter # 2
 
Chapter # 1
Chapter # 1Chapter # 1
Chapter # 1
 
Chapter#18
Chapter#18Chapter#18
Chapter#18
 
Chapter#17
Chapter#17Chapter#17
Chapter#17
 
Chapter#16
Chapter#16Chapter#16
Chapter#16
 
Chapter#15
Chapter#15Chapter#15
Chapter#15
 
Chapter#14
Chapter#14Chapter#14
Chapter#14
 
Chapter#13
Chapter#13Chapter#13
Chapter#13
 
Chapter#9
Chapter#9Chapter#9
Chapter#9
 
Chapter#14
Chapter#14Chapter#14
Chapter#14
 
Chapter#13
Chapter#13Chapter#13
Chapter#13
 
Chapter#12
Chapter#12Chapter#12
Chapter#12
 

Recently uploaded

Properties Railway Sleepers and Test.pptx
Properties Railway Sleepers and Test.pptxProperties Railway Sleepers and Test.pptx
Properties Railway Sleepers and Test.pptx
MDSABBIROJJAMANPAYEL
 
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Sinan KOZAK
 
Seminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptxSeminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptx
Madan Karki
 
Generative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of contentGenerative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of content
Hitesh Mohapatra
 
Hematology Analyzer Machine - Complete Blood Count
Hematology Analyzer Machine - Complete Blood CountHematology Analyzer Machine - Complete Blood Count
Hematology Analyzer Machine - Complete Blood Count
shahdabdulbaset
 
Null Bangalore | Pentesters Approach to AWS IAM
Null Bangalore | Pentesters Approach to AWS IAMNull Bangalore | Pentesters Approach to AWS IAM
Null Bangalore | Pentesters Approach to AWS IAM
Divyanshu
 
CEC 352 - SATELLITE COMMUNICATION UNIT 1
CEC 352 - SATELLITE COMMUNICATION UNIT 1CEC 352 - SATELLITE COMMUNICATION UNIT 1
CEC 352 - SATELLITE COMMUNICATION UNIT 1
PKavitha10
 
Certificates - Mahmoud Mohamed Moursi Ahmed
Certificates - Mahmoud Mohamed Moursi AhmedCertificates - Mahmoud Mohamed Moursi Ahmed
Certificates - Mahmoud Mohamed Moursi Ahmed
Mahmoud Morsy
 
22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt
KrishnaveniKrishnara1
 
International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...
gerogepatton
 
Manufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptxManufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptx
Madan Karki
 
cnn.pptx Convolutional neural network used for image classication
cnn.pptx Convolutional neural network used for image classicationcnn.pptx Convolutional neural network used for image classication
cnn.pptx Convolutional neural network used for image classication
SakkaravarthiShanmug
 
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
171ticu
 
Introduction to AI Safety (public presentation).pptx
Introduction to AI Safety (public presentation).pptxIntroduction to AI Safety (public presentation).pptx
Introduction to AI Safety (public presentation).pptx
MiscAnnoy1
 
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student MemberIEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
VICTOR MAESTRE RAMIREZ
 
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
Gino153088
 
john krisinger-the science and history of the alcoholic beverage.pptx
john krisinger-the science and history of the alcoholic beverage.pptxjohn krisinger-the science and history of the alcoholic beverage.pptx
john krisinger-the science and history of the alcoholic beverage.pptx
Madan Karki
 
Curve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods RegressionCurve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods Regression
Nada Hikmah
 
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have oneISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
Las Vegas Warehouse
 
Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...
IJECEIAES
 

Recently uploaded (20)

Properties Railway Sleepers and Test.pptx
Properties Railway Sleepers and Test.pptxProperties Railway Sleepers and Test.pptx
Properties Railway Sleepers and Test.pptx
 
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
 
Seminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptxSeminar on Distillation study-mafia.pptx
Seminar on Distillation study-mafia.pptx
 
Generative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of contentGenerative AI leverages algorithms to create various forms of content
Generative AI leverages algorithms to create various forms of content
 
Hematology Analyzer Machine - Complete Blood Count
Hematology Analyzer Machine - Complete Blood CountHematology Analyzer Machine - Complete Blood Count
Hematology Analyzer Machine - Complete Blood Count
 
Null Bangalore | Pentesters Approach to AWS IAM
Null Bangalore | Pentesters Approach to AWS IAMNull Bangalore | Pentesters Approach to AWS IAM
Null Bangalore | Pentesters Approach to AWS IAM
 
CEC 352 - SATELLITE COMMUNICATION UNIT 1
CEC 352 - SATELLITE COMMUNICATION UNIT 1CEC 352 - SATELLITE COMMUNICATION UNIT 1
CEC 352 - SATELLITE COMMUNICATION UNIT 1
 
Certificates - Mahmoud Mohamed Moursi Ahmed
Certificates - Mahmoud Mohamed Moursi AhmedCertificates - Mahmoud Mohamed Moursi Ahmed
Certificates - Mahmoud Mohamed Moursi Ahmed
 
22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt22CYT12-Unit-V-E Waste and its Management.ppt
22CYT12-Unit-V-E Waste and its Management.ppt
 
International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...
 
Manufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptxManufacturing Process of molasses based distillery ppt.pptx
Manufacturing Process of molasses based distillery ppt.pptx
 
cnn.pptx Convolutional neural network used for image classication
cnn.pptx Convolutional neural network used for image classicationcnn.pptx Convolutional neural network used for image classication
cnn.pptx Convolutional neural network used for image classication
 
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
 
Introduction to AI Safety (public presentation).pptx
Introduction to AI Safety (public presentation).pptxIntroduction to AI Safety (public presentation).pptx
Introduction to AI Safety (public presentation).pptx
 
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student MemberIEEE Aerospace and Electronic Systems Society as a Graduate Student Member
IEEE Aerospace and Electronic Systems Society as a Graduate Student Member
 
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
4. Mosca vol I -Fisica-Tipler-5ta-Edicion-Vol-1.pdf
 
john krisinger-the science and history of the alcoholic beverage.pptx
john krisinger-the science and history of the alcoholic beverage.pptxjohn krisinger-the science and history of the alcoholic beverage.pptx
john krisinger-the science and history of the alcoholic beverage.pptx
 
Curve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods RegressionCurve Fitting in Numerical Methods Regression
Curve Fitting in Numerical Methods Regression
 
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have oneISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
 
Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...
 

Chapter#6