Number System | Types of Number System | Binary Number System | Octal Number ...Get & Spread Knowledge
Topic: Number System | Types of Number System | Binary Number System | Octal Number System | Decimal Number System | Hexadecimal Number System
Subject: Digital Logic & Design
Programs: Bachelor of Computer Science, Bachelor of Engineering, Bachelor of Technology, Bachelor of IT, Master of Computer Science.
Lecturer: Junaid Qamar
Email: Getandspreadknowledge@gmail.com
Chapter 2.1 introduction to number systemISMT College
Binary Number System, Decimal Number System, Octal Number System, Hexadecimal Number System, Conversion, Binary Arithmetic, Signed Binary Number Representation, 1's complement, 2's complement, 9's complement, 10's complement
Number System | Types of Number System | Binary Number System | Octal Number ...Get & Spread Knowledge
Topic: Number System | Types of Number System | Binary Number System | Octal Number System | Decimal Number System | Hexadecimal Number System
Subject: Digital Logic & Design
Programs: Bachelor of Computer Science, Bachelor of Engineering, Bachelor of Technology, Bachelor of IT, Master of Computer Science.
Lecturer: Junaid Qamar
Email: Getandspreadknowledge@gmail.com
Chapter 2.1 introduction to number systemISMT College
Binary Number System, Decimal Number System, Octal Number System, Hexadecimal Number System, Conversion, Binary Arithmetic, Signed Binary Number Representation, 1's complement, 2's complement, 9's complement, 10's complement
Numbering system, binary number system, octal number system, decimal number system, hexadecimal number system.
Code conversion, Conversion from one number system to another, floating point numbers
Contents:
1.What is number system?
2.Conversions of number from one radix to another
3.Complements (1's, 2's, 9's, 10's)
4.Binary Arithmetic ( Addition, subtraction, multiplication, division)
The 10th Digital Learning Maths for IT sessions - The theme this time being the OCTAL number system which is used widely in computing circles - IP addressing being one.
Some straight forward conversion tasks for you!
Audio Version available in YouTube Link : www.youtube.com/Aksharam
subscribe the channel
Computer Architecture and Organization
V semester
Anna University
By
Babu M, Assistant Professor
Department of ECE
RMK College of Engineering and Technology
Chennai
Numbering system, binary number system, octal number system, decimal number system, hexadecimal number system.
Code conversion, Conversion from one number system to another, floating point numbers
Contents:
1.What is number system?
2.Conversions of number from one radix to another
3.Complements (1's, 2's, 9's, 10's)
4.Binary Arithmetic ( Addition, subtraction, multiplication, division)
The 10th Digital Learning Maths for IT sessions - The theme this time being the OCTAL number system which is used widely in computing circles - IP addressing being one.
Some straight forward conversion tasks for you!
Audio Version available in YouTube Link : www.youtube.com/Aksharam
subscribe the channel
Computer Architecture and Organization
V semester
Anna University
By
Babu M, Assistant Professor
Department of ECE
RMK College of Engineering and Technology
Chennai
Input - Output Organization and I/O Interfacekasthurimukila
I/O interfaces are the mediums in which data are sent from internal logic to external sources and from which data are received from external sources. The interface signals can be unidirectional or bidirectional, single-ended or differential and could follow one of the different I/O standards.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Safalta Digital marketing institute in Noida, provide complete applications that encompass a huge range of virtual advertising and marketing additives, which includes search engine optimization, virtual communication advertising, pay-per-click on marketing, content material advertising, internet analytics, and greater. These university courses are designed for students who possess a comprehensive understanding of virtual marketing strategies and attributes.Safalta Digital Marketing Institute in Noida is a first choice for young individuals or students who are looking to start their careers in the field of digital advertising. The institute gives specialized courses designed and certification.
for beginners, providing thorough training in areas such as SEO, digital communication marketing, and PPC training in Noida. After finishing the program, students receive the certifications recognised by top different universitie, setting a strong foundation for a successful career in digital marketing.
3. LIST OF NUMBER
Type Base Numbers/Symbols
Decimal 10 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Binary 2 0, 1
Octal 8 0, 1, 2, 3, 4, 5, 6, 7
Hexadecimal 16 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
4. BINARY NUMBERS
Used to represent the voltage levels of a digital circuit.
Only two voltage levels present in a digital circuit, logic High and
logic Low.
The high voltage is +5V and the low voltage is +0V.
The binary numbers represent the logic low as a 0 and the logic high
as a 1.
5. DECIMAL BINARY CONVERSION
A decimal number can be converted to a binary number by
successively dividing the number by 2 as follows:
•Note that the first remainder becomes the most significant bit (MSB). The
last remainder becomes the least significant bit (LSB).
6. BINARY DECIMAL CONVERSION
A binary number is converted to a decimal number by summing
together the weights of various positions in the binary number which
contain a 1. For example, 10101112 = 8710.
7. DECIMAL OCTAL CONVERSION
A decimal number can be converted to an octal number by
successively dividing the number by 8 as follows:
266 ÷ 8 = 33 remainder 2 LSD (right-most digit)
33 ÷ 8 = 4 remainder 1
4 ÷ 8 = 0 remainder 4 MSB (left-most digit).
Therefore 26610 = 4128
8. OCTAL DECIMAL CONVERSION
To convert an octal number to a decimal number, multiply each octal
value by the weight of the digit and sum the results. For example,
4128 = 26610.
9. OCTAL BINARY REPRESENTATION
Each octal digit can be represented by a 3-bit binary number as
shown below:
10. Conversion from octal to binary is very straightforward. Each octal digit
is replaced by 3-bit binary number. For example, 4728 = 100 111 0102.
A binary number is converted into an octal number by taking groups of
3 bits, starting from LSB, and replacing them with an octal digit. For
example, 11 010 1102 = 3268
.
OCTAL BINARY CONVERSION
11. HEXADECIMAL NUMBER
The hexadecimal number uses base 16. It uses the digits 0 through
9 plus the letters A, B, C, D, E and F.
The letter A stands for decimal 10, B for 11, C for 12, D for 13, E for
14 and F for 15.
13. 4.2 DECIMAL HEXADECIMAL
CONVERSION
A decimal number can be converted to hex number by successively
dividing the number by 16 as follows:
14. HEXADECIMAL DECIMAL
CONVERSION
To convert a hex number to a decimal number, multiply each hex
value by the weight of the digit and sum the results. For example,
1A716 = 42310.
15. HEXADECIMAL BINARY CONVERSI
Each hex digit can be represented by a 4-bit binary number as
shown above. Conversion from hex to binary is very straightforward.
Each hex digit is replaced by 4-bit binary number.
A binary number is converted into an octal number by taking groups
of 4 bits, starting from LSB, and replacing them with a hex digit. For
example, 110101102 = 3268
.
16. 5.1 BINARY-CODED-DECIMAL
(BCD)
The Binary-Coded-Decimal (BCD) code makes conversion much
easier. Each decimal digit, 0 through 9, is represented with a 4-Bit
BCD code as shown below. The BCD code 1010, 1011, 1100, 1101,
1110 and 1111 are not used.
17. 5.2 DECIMAL BCD
CONVERSION
Conversion between BCD and decimal is accomplished by replacing
a 4-bit BCD for each decimal digit. For example, 87410 = 1000 0111
0100BCD.
BCD is not another number system like binary, octal, decimal and
hexadecimal. It is in fact the decimal system with each digit encoded
in its binary equivalent. A BCD code is not the same as a straight
binary number. For example, the BCD code requires 12 bits, while
the straight binary number requires only 10 bits to represent 87310.
18. BASE CONVERSION FOR FLOATING POINTS WITH
THE REMAINDER METHOD
Decimal Binary
Eg. Convert 23.37510 to base 2.
Technique:
1. Start by converting the integer portion:
19. FLOATING POINTS CONVERSION USING
REMAINDER METHOD
Decimal Binary
2. Then, convert the fraction by multiply it with the based we want to convert:
IF ZERO, THEN STOP
20. BASE CONVERSION FOR FLOATING POINTS WITH
THE REMAINDER METHOD
Eg. 1010.012 = _________ 10
Technique:
– Multiply each binary number by 2-n, where -n is the weight of the bit for fraction starting from
left to right. .
– Then, sum the results.
1010.012
= 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20 . 0 x 2-1 + 1 x 2-2
= 10 + 0.25
= 10.25 10
Therefore, 1010.012 = 10.2510
Binary Decimal
21. BASE CONVERSION FOR FLOATING POINTS WITH
THE REMAINDER METHOD
Octal – Decimal
Technique:
– Multiply each octal number by 8-n, where -n is the weight of the bit for fraction
starting from left to right. .
– Then, sum the results.
Eg. 46.38 = _________ 10
46.38 = 4 x 81 + 6 x 80 + 3 x 8-1
= 38 + 0.375
= 38.375 10
Therefore, 46.38 = 38.37510
22. BASE CONVERSION FOR FLOATING POINTS WITH
THE REMAINDER METHOD
Hexadecimal -
Decimal
Technique:
– Multiply each hexadecimal number by 16-n, where -n is the weight of the bit for
fraction starting from left to right.
– Then, sum the results.
Eg. A7.0F16 = _________ 10
A7.0F16 = 10 x 161 + 7 x 160 + 0 x 16-1 + 15 x 16-2
= 167 + 0.059
= 167.059 10
Therefore, A7.0F16 = 167.05910