SlideShare a Scribd company logo
Department of Mechanical Engineering
NIT, ARUNACHAL PRADESH
Number System
(Representation and Conversion)
INTRODUCTION :
Number System ?
NUMBER SYSTEM IN DIGITAL ELECTRONICS
1. Decimal Number
2. Binary Number
3. Octal Number
4. Hexadecimal
Number
5. BCD Number
6. Excess 3 Code
Used by Humans
Used by Computer
Digital System
COMMON NUMBER SYSTEM
Number Base Allowable Digits / Characters Symbol
Decimal (D) 10 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 … 10
Binary (B) 2 0, 1 … 2
Octal (O) 8 0, 1, 2, 3, 4, 5, 6, 7 … 8
Hexadecimal (H) 16
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E,
F … 16
CONVERSION
1. B / O / H  D
2. D  B / O / H
3. O / H  B  H / O
Decimal Hexadecimal Octal Binary
0 0 0 0
1 1 1 1
2 2 2 10
3 3 3 11
4 4 4 100
5 5 5 101
6 6 6 110
7 7 7 111
8 8 10 1000
9 9 11 1001
10 A 12 1010
11 B 13 1011
12 C 14 1100
13 D 15 1101
14 E 16 1110
15 F 17 1111
1. B / O / H  D
(AnAn-1 - - - - A1A0)B (N)10
N = AnBn + An-1Bn-1 + ------ + A2B2 + A1B1 + A0B0
Example
(10101)2 ( )10
(1357)8 ( )10
(A2D)16 ( )10
21
751
2605
2. D  B / O /
H
(N)10 (AnAn-1 - - - - A1A0)B
B N
B N1 A0
- - A1
- - -
- - -
B Nn-1 -
An = Nn An-1
Example
(55)10 ( )2
(55)10 ( )8
(55)10 ( )16
110111
67
37
3. O / H  B  H / O
Example
(473)8 ( )2100111011
(An --- A1A0)8 (an3an2an1 --- a13a12a11 a03a02a01)2
(An --- A1A0)16 (an4an3an2an1 --- a14a13a12a11 a04a03a02a01)2
( )1613B
TRY YOURSELF
( )16
( )2
( )10
11111101
( )8
FB
253
375
( )10
( )8
( )2
140336
( )16
49374
1100000011011110
C0DE
PROGRAMMING LANGUAGE
MACHINE LANGUAGE VS ASSEMBLY LANGUAGE
Number system | Representation and conversion | low level programming

More Related Content

Similar to Number system | Representation and conversion | low level programming

Chapter 1 digital design.pptx
Chapter 1 digital design.pptxChapter 1 digital design.pptx
Chapter 1 digital design.pptx
AliaaTarek5
 
A109211002 switchingtheoryandlogicdesign1
A109211002 switchingtheoryandlogicdesign1A109211002 switchingtheoryandlogicdesign1
A109211002 switchingtheoryandlogicdesign1
jntuworld
 
Unit 1 PDF.pptx
Unit 1 PDF.pptxUnit 1 PDF.pptx
Unit 1 PDF.pptx
ChandraV13
 
Video lectures
Video lecturesVideo lectures
Video lectures
Edhole.com
 
Mba ebooks
Mba ebooksMba ebooks
Mba ebooks
Edhole.com
 
Logic Design 2009
Logic Design 2009Logic Design 2009
Logic Design 2009
lionking
 
Computer archi&mp
Computer archi&mpComputer archi&mp
Computer archi&mp
MSc CST
 
Digital-Logic40124sequential circuits logic gatepptx
Digital-Logic40124sequential circuits logic gatepptxDigital-Logic40124sequential circuits logic gatepptx
Digital-Logic40124sequential circuits logic gatepptx
ssuser6feece1
 
197e
197e197e
IMPLEMENTING A DIGITAL MULTIMETER
IMPLEMENTING A DIGITAL MULTIMETERIMPLEMENTING A DIGITAL MULTIMETER
IMPLEMENTING A DIGITAL MULTIMETER
Vijay Elavunkal
 
4,encoder & decoder MUX and DEMUX EEng - Copy.pdf
4,encoder & decoder MUX and DEMUX EEng - Copy.pdf4,encoder & decoder MUX and DEMUX EEng - Copy.pdf
4,encoder & decoder MUX and DEMUX EEng - Copy.pdf
DamotTesfaye
 
unit-i-number-systems.pdf
unit-i-number-systems.pdfunit-i-number-systems.pdf
unit-i-number-systems.pdf
RameshK531901
 
TC7S08F PSpice Model (Free SPICE Model)
TC7S08F PSpice Model  (Free SPICE Model)TC7S08F PSpice Model  (Free SPICE Model)
TC7S08F PSpice Model (Free SPICE Model)
Tsuyoshi Horigome
 
6th Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Qu...
6th Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Qu...6th Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Qu...
6th Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Qu...
BGS Institute of Technology, Adichunchanagiri University (ACU)
 
om
omom
D25XB80 PSpice Model (Free SPICE Model)
D25XB80  PSpice Model (Free SPICE Model)D25XB80  PSpice Model (Free SPICE Model)
D25XB80 PSpice Model (Free SPICE Model)
Tsuyoshi Horigome
 
D25XB80 LTspice Model (Free SPICE Model)
D25XB80  LTspice Model (Free SPICE Model)D25XB80  LTspice Model (Free SPICE Model)
D25XB80 LTspice Model (Free SPICE Model)
Tsuyoshi Horigome
 
TLP172A PSpice Model (Free SPICE Model)
TLP172A PSpice Model  (Free SPICE Model)TLP172A PSpice Model  (Free SPICE Model)
TLP172A PSpice Model (Free SPICE Model)
Tsuyoshi Horigome
 
2SK4017 (Standard Model) PSpice Model (Free SPICE Model)
2SK4017 (Standard Model) PSpice Model  (Free SPICE Model)2SK4017 (Standard Model) PSpice Model  (Free SPICE Model)
2SK4017 (Standard Model) PSpice Model (Free SPICE Model)
Tsuyoshi Horigome
 
Understand data representation on CPU 1
Understand data representation on CPU 1Understand data representation on CPU 1
Understand data representation on CPU 1
Brenda Debra
 

Similar to Number system | Representation and conversion | low level programming (20)

Chapter 1 digital design.pptx
Chapter 1 digital design.pptxChapter 1 digital design.pptx
Chapter 1 digital design.pptx
 
A109211002 switchingtheoryandlogicdesign1
A109211002 switchingtheoryandlogicdesign1A109211002 switchingtheoryandlogicdesign1
A109211002 switchingtheoryandlogicdesign1
 
Unit 1 PDF.pptx
Unit 1 PDF.pptxUnit 1 PDF.pptx
Unit 1 PDF.pptx
 
Video lectures
Video lecturesVideo lectures
Video lectures
 
Mba ebooks
Mba ebooksMba ebooks
Mba ebooks
 
Logic Design 2009
Logic Design 2009Logic Design 2009
Logic Design 2009
 
Computer archi&mp
Computer archi&mpComputer archi&mp
Computer archi&mp
 
Digital-Logic40124sequential circuits logic gatepptx
Digital-Logic40124sequential circuits logic gatepptxDigital-Logic40124sequential circuits logic gatepptx
Digital-Logic40124sequential circuits logic gatepptx
 
197e
197e197e
197e
 
IMPLEMENTING A DIGITAL MULTIMETER
IMPLEMENTING A DIGITAL MULTIMETERIMPLEMENTING A DIGITAL MULTIMETER
IMPLEMENTING A DIGITAL MULTIMETER
 
4,encoder & decoder MUX and DEMUX EEng - Copy.pdf
4,encoder & decoder MUX and DEMUX EEng - Copy.pdf4,encoder & decoder MUX and DEMUX EEng - Copy.pdf
4,encoder & decoder MUX and DEMUX EEng - Copy.pdf
 
unit-i-number-systems.pdf
unit-i-number-systems.pdfunit-i-number-systems.pdf
unit-i-number-systems.pdf
 
TC7S08F PSpice Model (Free SPICE Model)
TC7S08F PSpice Model  (Free SPICE Model)TC7S08F PSpice Model  (Free SPICE Model)
TC7S08F PSpice Model (Free SPICE Model)
 
6th Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Qu...
6th Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Qu...6th Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Qu...
6th Semeste Electronics and Communication Engineering (Dec-2015; Jan-2016) Qu...
 
om
omom
om
 
D25XB80 PSpice Model (Free SPICE Model)
D25XB80  PSpice Model (Free SPICE Model)D25XB80  PSpice Model (Free SPICE Model)
D25XB80 PSpice Model (Free SPICE Model)
 
D25XB80 LTspice Model (Free SPICE Model)
D25XB80  LTspice Model (Free SPICE Model)D25XB80  LTspice Model (Free SPICE Model)
D25XB80 LTspice Model (Free SPICE Model)
 
TLP172A PSpice Model (Free SPICE Model)
TLP172A PSpice Model  (Free SPICE Model)TLP172A PSpice Model  (Free SPICE Model)
TLP172A PSpice Model (Free SPICE Model)
 
2SK4017 (Standard Model) PSpice Model (Free SPICE Model)
2SK4017 (Standard Model) PSpice Model  (Free SPICE Model)2SK4017 (Standard Model) PSpice Model  (Free SPICE Model)
2SK4017 (Standard Model) PSpice Model (Free SPICE Model)
 
Understand data representation on CPU 1
Understand data representation on CPU 1Understand data representation on CPU 1
Understand data representation on CPU 1
 

More from Gajendra Singh

3d Bioprinting
3d Bioprinting3d Bioprinting
3d Bioprinting
Gajendra Singh
 
Sensors (Potentiometer and Strain Gauge)
Sensors (Potentiometer and Strain Gauge)Sensors (Potentiometer and Strain Gauge)
Sensors (Potentiometer and Strain Gauge)
Gajendra Singh
 
Flue gas desulphurization report
Flue gas desulphurization reportFlue gas desulphurization report
Flue gas desulphurization report
Gajendra Singh
 
Flue gas desulphurization
Flue gas desulphurizationFlue gas desulphurization
Flue gas desulphurization
Gajendra Singh
 
Main report
Main reportMain report
Main report
Gajendra Singh
 
Green Engine Final Report
Green Engine Final ReportGreen Engine Final Report
Green Engine Final Report
Gajendra Singh
 
Green Engine PPT
Green Engine PPTGreen Engine PPT
Green Engine PPT
Gajendra Singh
 

More from Gajendra Singh (7)

3d Bioprinting
3d Bioprinting3d Bioprinting
3d Bioprinting
 
Sensors (Potentiometer and Strain Gauge)
Sensors (Potentiometer and Strain Gauge)Sensors (Potentiometer and Strain Gauge)
Sensors (Potentiometer and Strain Gauge)
 
Flue gas desulphurization report
Flue gas desulphurization reportFlue gas desulphurization report
Flue gas desulphurization report
 
Flue gas desulphurization
Flue gas desulphurizationFlue gas desulphurization
Flue gas desulphurization
 
Main report
Main reportMain report
Main report
 
Green Engine Final Report
Green Engine Final ReportGreen Engine Final Report
Green Engine Final Report
 
Green Engine PPT
Green Engine PPTGreen Engine PPT
Green Engine PPT
 

Recently uploaded

comptia-security-sy0-701-exam-objectives-(5-0).pdf
comptia-security-sy0-701-exam-objectives-(5-0).pdfcomptia-security-sy0-701-exam-objectives-(5-0).pdf
comptia-security-sy0-701-exam-objectives-(5-0).pdf
foxlyon
 
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls ChennaiCall Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
paraasingh12 #V08
 
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
upoux
 
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdfAsymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
felixwold
 
Flow Through Pipe: the analysis of fluid flow within pipes
Flow Through Pipe:  the analysis of fluid flow within pipesFlow Through Pipe:  the analysis of fluid flow within pipes
Flow Through Pipe: the analysis of fluid flow within pipes
Indrajeet sahu
 
Call For Paper -3rd International Conference on Artificial Intelligence Advan...
Call For Paper -3rd International Conference on Artificial Intelligence Advan...Call For Paper -3rd International Conference on Artificial Intelligence Advan...
Call For Paper -3rd International Conference on Artificial Intelligence Advan...
ijseajournal
 
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
OKORIE1
 
FULL STACK PROGRAMMING - Both Front End and Back End
FULL STACK PROGRAMMING - Both Front End and Back EndFULL STACK PROGRAMMING - Both Front End and Back End
FULL STACK PROGRAMMING - Both Front End and Back End
PreethaV16
 
SENTIMENT ANALYSIS ON PPT AND Project template_.pptx
SENTIMENT ANALYSIS ON PPT AND Project template_.pptxSENTIMENT ANALYSIS ON PPT AND Project template_.pptx
SENTIMENT ANALYSIS ON PPT AND Project template_.pptx
b0754201
 
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
IJCNCJournal
 
Accident detection system project report.pdf
Accident detection system project report.pdfAccident detection system project report.pdf
Accident detection system project report.pdf
Kamal Acharya
 
openshift technical overview - Flow of openshift containerisatoin
openshift technical overview - Flow of openshift containerisatoinopenshift technical overview - Flow of openshift containerisatoin
openshift technical overview - Flow of openshift containerisatoin
snaprevwdev
 
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Transcat
 
Impartiality as per ISO /IEC 17025:2017 Standard
Impartiality as per ISO /IEC 17025:2017 StandardImpartiality as per ISO /IEC 17025:2017 Standard
Impartiality as per ISO /IEC 17025:2017 Standard
MuhammadJazib15
 
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
GiselleginaGloria
 
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
Paris Salesforce Developer Group
 
OOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming languageOOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming language
PreethaV16
 
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
nonods
 
Introduction to Computer Networks & OSI MODEL.ppt
Introduction to Computer Networks & OSI MODEL.pptIntroduction to Computer Networks & OSI MODEL.ppt
Introduction to Computer Networks & OSI MODEL.ppt
Dwarkadas J Sanghvi College of Engineering
 
Literature review for prompt engineering of ChatGPT.pptx
Literature review for prompt engineering of ChatGPT.pptxLiterature review for prompt engineering of ChatGPT.pptx
Literature review for prompt engineering of ChatGPT.pptx
LokerXu2
 

Recently uploaded (20)

comptia-security-sy0-701-exam-objectives-(5-0).pdf
comptia-security-sy0-701-exam-objectives-(5-0).pdfcomptia-security-sy0-701-exam-objectives-(5-0).pdf
comptia-security-sy0-701-exam-objectives-(5-0).pdf
 
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls ChennaiCall Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
 
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
 
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdfAsymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
 
Flow Through Pipe: the analysis of fluid flow within pipes
Flow Through Pipe:  the analysis of fluid flow within pipesFlow Through Pipe:  the analysis of fluid flow within pipes
Flow Through Pipe: the analysis of fluid flow within pipes
 
Call For Paper -3rd International Conference on Artificial Intelligence Advan...
Call For Paper -3rd International Conference on Artificial Intelligence Advan...Call For Paper -3rd International Conference on Artificial Intelligence Advan...
Call For Paper -3rd International Conference on Artificial Intelligence Advan...
 
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
 
FULL STACK PROGRAMMING - Both Front End and Back End
FULL STACK PROGRAMMING - Both Front End and Back EndFULL STACK PROGRAMMING - Both Front End and Back End
FULL STACK PROGRAMMING - Both Front End and Back End
 
SENTIMENT ANALYSIS ON PPT AND Project template_.pptx
SENTIMENT ANALYSIS ON PPT AND Project template_.pptxSENTIMENT ANALYSIS ON PPT AND Project template_.pptx
SENTIMENT ANALYSIS ON PPT AND Project template_.pptx
 
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
 
Accident detection system project report.pdf
Accident detection system project report.pdfAccident detection system project report.pdf
Accident detection system project report.pdf
 
openshift technical overview - Flow of openshift containerisatoin
openshift technical overview - Flow of openshift containerisatoinopenshift technical overview - Flow of openshift containerisatoin
openshift technical overview - Flow of openshift containerisatoin
 
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
 
Impartiality as per ISO /IEC 17025:2017 Standard
Impartiality as per ISO /IEC 17025:2017 StandardImpartiality as per ISO /IEC 17025:2017 Standard
Impartiality as per ISO /IEC 17025:2017 Standard
 
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
 
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
 
OOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming languageOOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming language
 
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
 
Introduction to Computer Networks & OSI MODEL.ppt
Introduction to Computer Networks & OSI MODEL.pptIntroduction to Computer Networks & OSI MODEL.ppt
Introduction to Computer Networks & OSI MODEL.ppt
 
Literature review for prompt engineering of ChatGPT.pptx
Literature review for prompt engineering of ChatGPT.pptxLiterature review for prompt engineering of ChatGPT.pptx
Literature review for prompt engineering of ChatGPT.pptx
 

Number system | Representation and conversion | low level programming

  • 1. Department of Mechanical Engineering NIT, ARUNACHAL PRADESH Number System (Representation and Conversion)
  • 3. NUMBER SYSTEM IN DIGITAL ELECTRONICS 1. Decimal Number 2. Binary Number 3. Octal Number 4. Hexadecimal Number 5. BCD Number 6. Excess 3 Code Used by Humans Used by Computer Digital System
  • 4. COMMON NUMBER SYSTEM Number Base Allowable Digits / Characters Symbol Decimal (D) 10 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 … 10 Binary (B) 2 0, 1 … 2 Octal (O) 8 0, 1, 2, 3, 4, 5, 6, 7 … 8 Hexadecimal (H) 16 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F … 16
  • 5. CONVERSION 1. B / O / H  D 2. D  B / O / H 3. O / H  B  H / O Decimal Hexadecimal Octal Binary 0 0 0 0 1 1 1 1 2 2 2 10 3 3 3 11 4 4 4 100 5 5 5 101 6 6 6 110 7 7 7 111 8 8 10 1000 9 9 11 1001 10 A 12 1010 11 B 13 1011 12 C 14 1100 13 D 15 1101 14 E 16 1110 15 F 17 1111
  • 6. 1. B / O / H  D (AnAn-1 - - - - A1A0)B (N)10 N = AnBn + An-1Bn-1 + ------ + A2B2 + A1B1 + A0B0 Example (10101)2 ( )10 (1357)8 ( )10 (A2D)16 ( )10 21 751 2605
  • 7. 2. D  B / O / H (N)10 (AnAn-1 - - - - A1A0)B B N B N1 A0 - - A1 - - - - - - B Nn-1 - An = Nn An-1 Example (55)10 ( )2 (55)10 ( )8 (55)10 ( )16 110111 67 37
  • 8. 3. O / H  B  H / O Example (473)8 ( )2100111011 (An --- A1A0)8 (an3an2an1 --- a13a12a11 a03a02a01)2 (An --- A1A0)16 (an4an3an2an1 --- a14a13a12a11 a04a03a02a01)2 ( )1613B
  • 9. TRY YOURSELF ( )16 ( )2 ( )10 11111101 ( )8 FB 253 375 ( )10 ( )8 ( )2 140336 ( )16 49374 1100000011011110 C0DE
  • 11. MACHINE LANGUAGE VS ASSEMBLY LANGUAGE