Hexadecimal addition
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The document discusses hexadecimal addition. It explains that hexadecimal is base 16, using 16 digits (0-9 plus A-F) rather than the 10 digits of decimal. To perform hexadecimal addition, one converts each hexadecimal digit to decimal, adds the columns, and converts any results of 16 or greater back to hexadecimal by subtracting 16 and carrying a 1 to the next column. An example problem demonstrates this process step-by-step. The document concludes by listing additional hexadecimal addition problems to practice.
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uyuyuy.pdf
This document discusses different number systems including decimal, binary, octal, and hexadecimal. It explains how to represent numbers in these different bases and how to convert between bases. Key points covered include binary arithmetic operations like addition, subtraction, multiplication, and division. Complement representations for negative numbers like 1's complement and 2's complement are also summarized.
Number system in Digital Electronics
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)
Chapter 6 base_number
The document discusses different number systems including binary, octal, decimal, and hexadecimal. It provides examples of converting between these number systems. Specifically, it explains how to convert a decimal number to its binary, octal, or hexadecimal equivalent by repeatedly dividing the number by the base or writing the remainder. Arithmetic operations like addition, subtraction, and multiplication are also covered for the binary system.
Number System.pptx
The document discusses different number system conversion techniques:
1. It explains how to convert a binary number to decimal using positional notation and the doubling method.
2. Examples are provided to convert decimal to binary using long division.
3. Hexadecimal to decimal conversion is demonstrated by multiplying each hexadecimal digit by its place value.
4. Methods to convert hexadecimal to octal include first converting to decimal then to octal, or grouping the binary equivalents of each hexadecimal digit into groups of three.
DATA REPRESENTATION.pptx
In digital computers, data is stored and represented using binary digits (bits) of 1s and 0s. There are different number systems that can represent numeric values, including binary, decimal, octal and hexadecimal. Each system has a base or radix, with binary having a base of 2, decimal 10, octal 8 and hexadecimal 16. Numbers can be converted between these systems using division and multiplication by the radix at each place value.
Digital Electronics Notes.pdf
The document provides information on digital and analog signals, different number systems used in computing including binary, octal, decimal and hexadecimal. It explains:
- Digital signals have discrete amplitude values of 0V and 5V, while analog signals can have any amplitude value.
- Number systems like binary, octal and hexadecimal are used in computing to represent values using discrete digits. Conversion between number systems involves place value weighting.
- Binary uses two digits 0 and 1. Octal uses eight digits 0-7. Hexadecimal uses sixteen digits and letters 0-9 and A-F. Conversion between number systems and decimal is done by successive multiplication or division.
Number System and Conversions.pptx
This document discusses different number systems including decimal, binary, and hexadecimal. It provides steps for converting between these number systems. Decimal to binary conversion is done using successive division by 2. Binary to decimal conversion multiplies each bit by its place value and sums the results. Binary to hexadecimal breaks the binary number into groups of 4 bits and maps each group to a hexadecimal digit. Hexadecimal to binary does the reverse. Decimal to hexadecimal converts each decimal digit to its hexadecimal equivalent. Hexadecimal to decimal multiplies each digit by its place value and sums the results.
CDS Fundamentals of digital communication system UNIT 1 AND 2.pdf
The document discusses various number systems including decimal, binary, hexadecimal and their conversions. It explains binary addition and subtraction using 2's complement. Binary coded decimal and gray codes are also covered. The last part discusses ASCII codes for alphanumeric representation. Key points discussed are:
- Decimal, binary and hexadecimal number systems and inter-conversions between them.
- Binary addition and subtraction using 2's complement.
- Binary coded decimal and gray codes for number representation.
- ASCII codes for alphanumeric representation in computers.
DCF QNA edited
The document provides information about different number systems used in computers, including binary, octal, hexadecimal, and decimal. It explains the characteristics of each system such as the base and digits used. Methods for converting between number systems like binary to decimal and vice versa are presented. Shortcut methods for direct conversions between binary, octal, and hexadecimal are also described. Binary arithmetic and binary-coded decimal number representation are discussed.
Number system
This video is about number system and there is some important definitions... hope so it will be help full for you!
Number system with conversions www.eakanchha.com
The document discusses different number systems including positional and non-positional systems. It describes the decimal, binary, octal, and hexadecimal number systems. Conversion between these number systems is also explained through long and short-cut methods. Steps are provided to convert between decimal, binary, octal, and hexadecimal numbers. Conversion of both integer and fractional numbers is covered.
Number system arithmetic
This document discusses different number systems including binary, octal, hexadecimal, and their arithmetic operations. It provides examples of adding and subtracting numbers in these systems. Binary addition follows four rules: 0 + 0 = 0, 0 + 1 = 1, 1 + 0 = 1, 1 + 1 = 10. Octal addition is like decimal addition except when the column sum is greater than 7, 8 is subtracted and 1 is carried. Hexadecimal uses numbers 0-9 and letters A-F to represent values 10-15. It provides a table of decimal and hexadecimal equivalents. Hexadecimal addition involves treating multi-digit numbers as in decimal. Subtraction uses two's complement or 15's and 16's complement methods.
Chapter 1 standard form
This document provides instructions on basic mathematical skills related to rounding numbers and significant figures. It discusses rounding whole numbers and decimals to specified places, as well as expressing numbers in standard form using scientific notation. Examples are provided to demonstrate rounding numbers to different decimal places and significant figures. Rules for determining the number of significant figures in measurements are also outlined.
Number Systems - AK.pptx
This document provides an overview of different number systems including decimal, binary, octal, and hexadecimal. It explains why these additional number systems are needed beyond the standard decimal system that humans use. Conversion processes between the different number systems are presented, including successive division to convert from decimal to another base and weighted multiplication to convert the other way. Examples are provided to demonstrate how to convert numbers between decimal, binary, octal, and hexadecimal.
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CDS Fundamentals of digital communication system UNIT 1 AND 2.pdf
CDS Fundamentals of digital communication system UNIT 1 AND 2.pdf
Hexadecimal addition
- 1. MICROPROCESSOR AND INTERFACING SUBJECT CODE: 2150707 Presented By: Prof. Kumar Anand Singh Deptt. Of ECE MEFGI Hexadecimal Addition
- 2. Decimal basic concepts: • Decimal is base 10. • There are 10 digits in counting (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) • When you reach 10, you carry a “1” over to the next column • The number after 9 is 10
- 3. Hexadecimal basic concepts: • Hexadecimal is base 16. • There are 16 digits in counting (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F) • When you reach 16, you carry a “1” over to the next column • The number after F (decimal 15) is 10 in hex (or 16 in decimal)
- 4. Use the following steps to perform hexadecimal addition: 1. Add one column at a time. 2. Convert to decimal and add the numbers. 3. If the result of step two is 16 or larger subtract the result from 16 and carry 1 to the next column. 4. If the result of step two is less than 16, convert the number to hexadecimal.
- 5. Example: (Use the color code in each step to see what’s happening) The problem: You are to add these numbers: A C 5 A 9 E D 6 9 4 Carry Over: 1. Add one column at a time 2. Convert to decimal & add (9 + 4 = 13) 3. Follow less than 16 rule Decimal 13 is hexadecimal D A C 5 A 9 E D 6 9 4 D
- 6. Carry Over: 1 1. Add next column 2. Convert to decimal & add (10 + 9 = 19) 3. Follow 16 or larger than 16 rule (19 – 16 = 3 carry a 1) A C 5 A 9 E D 6 9 4 3 D Carry Over: 1 1. Add next column 2. Convert to decimal & add (1 + 5 + 6 = 12) 3. Follow less than 16 rule, convert to hex Decimal 12 is hexadecimal C A C 5 A 9 E D 6 9 4 C 3 D
- 7. Carry Over: 1 1. Add next column 2. Convert to decimal & add (12 + 13 = 25) 3. Follow 16 or larger than 16 rule (25 – 16 = 9 carry a 1) A C 5 A 9 E D 6 9 4 9 C 3 D Carry Over: 1 1. Add next column 2. Convert and add (1 + 10 + 11 = 22) 3. Follow 16 or larger than 16 rule (22 – 16 = 6 carry a 1) A C 5 A 9 B D 6 9 4 6 9 C 3 D
- 8. Carry Over: 1 1. Add next column 2. Convert and add (1 + 0 + 0 = 1) 3. Follow less than 16 rule 0 A C 5 A 9 0 B D 6 9 4 1 6 9 C 3 D F C B D 9 B A 5 0 4 Practice 1 C 3 A F 3 B 6 D F 1 A 0 8 A D B C F 4 C C 9 A 9 F D 6 9 9
- 9. Thank You