logging in or signing up DATA REPRESENTATION aashuzone aashu95 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 104 Category: Science & Tech.. License: All Rights Reserved Like it (4) Dislike it (0) Added: May 12, 2011 This Presentation is Public Favorites: 2 Presentation Description DATA REPRESENTATION OF COMPUTER SCIENCE IN THIS PRESENTATION YOU LEARN ABOUT HOW TO CONVERT NUMBER SYSTEMS LIKE FROM DECIMAL TO HEX BINARY TO DECIMAL BINARY TO OCTAL OCTAL TO BINARY ETC. FOR DOWNLOAD GO TO@ http://is.gd/contactme Enter your email address and send name of presentation which u wanted to download link will provide you within 24 hours Comments Posting comment... Premium member Presentation Transcript DATA REPRESENTATION : DATA REPRESENTATION CONVERSION NUMBER SYSTEM : NUMBER SYSTEM Decimal Number System Binary Number System Octal Number System Hexadecimal Number System © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal Number System : Decimal Number System The decimal system is composed of 1- numerals or symbols (Deca means 10, that is why this is called decimal system). These 10 symbols are 0,1,2,3,4,5,6,7,8,9 ; using these symbols as digit as number, we can express any quantity. The decimal system, also called the base-10 system © Made BY Arshpreet Singh http://aashuzone.co.nr Binary Number System : Binary Number System Binary System, there are only two symbols or possible digit values, 0 and 1. This base-2 system can be used to represent any quantity that can be represented in decimal or other number systems. The Binary system is also a positional-value system, wherein each binary digit has its own value expressed as a power of 2. © Made BY Arshpreet Singh http://aashuzone.co.nr Octal Number System : Octal Number System The Octal number system is very important in digital computer work. The octal number system has a base of eight, meaning that it has eight unique symbols : 0,1,2,3,4,5,6,7 . Thus each digit of an octal number can have any value from 0 to 7. The octal system is a positional value system, wherein each octal digit has its own value expressed as a power of 8. © Made BY Arshpreet Singh http://aashuzone.co.nr Hexadecimal Number System : Hexadecimal Number System The Hexadecimal System uses base 16. Thus, it has 16 possible digit symbols. It uses the digits 0 – 9 and the letter A, B, C, D, E & F as the 16 digit symbols. Hexadecimal is a positional value System has its own value expressed as a power of 16. © Made BY Arshpreet Singh http://aashuzone.co.nr NUMBER CONVERSIONS : NUMBER CONVERSIONS CONVERSIONS WITH BINARY Decimal To Binary Decimal Fraction To Binary Binary To Decimal Binary Fraction To Decimal © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal To Binary : Decimal To Binary To converting decimal to Binary we use Repeated division method. In this the no. is successively divide by 2 and its remainder recorded. For Example convert decimal to Binary 4310 2 43 2 21 1 2 10 1 2 5 0 2 2 1 2 1 0 1 1 CONVERSIONS WITH BINARY WRITE IN THIS ORDER From Down to Up Your Answer 4310 = 1010112 © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal Fraction To Binary : Decimal Fraction To Binary To Convert a decimal fraction into binary, multiply the decimal fraction by the base that’s 2. Do untill you will get zero at fractional part. For Example Convert 0.37510 to Binary Integer Part Multiply(fractional part)0.375 * 2 = 0.750 0 0.75 * 2 = 1.50 1 0.50 * 2 = 1.00 1 Your Answer is 0.37510 = 0.0112 Write From Up to Down © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH BINARY Binary To Decimal : Binary To Decimal To convert Binary to Decimal, Add positional weights or values with power of 2 start from right side. For Example Convert 11011 to Decimal. 1 * 24 + 1 * 23 + 0 * 22 + 1 * 21 + 1 * 20 = 16 + 8 + 0 + 2 + 1 = 2710 (decimal) © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH BINARY Binary Fraction To Decimal : Binary Fraction To Decimal To find binary fraction, take the sum of products of each digit value (0 – 1) and its positional value. Starts from left side. For Example convert 0.0101 to Decimal. 0 * 2-1 + 1 * 2-2 + 0 * 2-3 + 1 * 2-4 = 0 + 0.25 + 0 + 0.0625 0.01012 = 0.312510 (decimal) © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH BINARY NUMBER CONVERSIONS : NUMBER CONVERSIONS CONVERSIONS WITH OCTAL Decimal To Octal Decimal Fraction To Octal Octal To Decimal Octal To Binary Binary To Octal © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal To Octal : Decimal To Octal A decimal integer can be converted to octal by repeated-division method with division factor of 8. Example Convert 26610 to Octal remainder 8 266 2 8 33 1 8 4 4 0 26610 = 4128 © Made BY Arshpreet Singh http://aashuzone.co.nr WRITE IN THIS ORDER From Down to Up CONVERSIONS WITH OCTAL Decimal Fraction To Octal : Decimal Fraction To Octal To convert Decimal fraction into Octal, multiply fractional part with 8 till you get fractional part 0. Example : convert 0.37510 to Octal Integer Part 0.375 * 8 = 3.0 3 0.37510 = 0.38 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH OCTAL Write From Up to Down Octal To Decimal : Octal To Decimal It can easily converted into decimal by multiplying each octal digit by its positional weight. For Example 3728 to Decimal 82 81 80 3 * 82 + 7 * 81 + 2 * 80 = 3 * 64 + 7 * 8 + 2 * 1 = 25010 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH OCTAL Octal To Binary : Octal To Binary To convert Octal To Binary is easy. This converting is performed by converting each octal digit to its 3 bit binary. Possible digits converted as indicated in Table Example : 4728 to binary From table , 4 = 100 , 7 = 111 & 2 = 010 We get 4728 = 1001110102 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH OCTAL Binary To Octal : Binary To Octal Its simply the reverse of octal to binary. Make the three bits group starting from LSB. Then convert it with using Table For Example: 110101102 to Octal Make group of three 011 , 010 & 110 011 = 3 , 010 = 2 & 110 = 6 110101102 = 3268 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH OCTAL Add Zero To Make it group of 3 bit. NUMBER CONVERSIONS : NUMBER CONVERSIONS CONVERSIONS WITH HEX Decimal To HEX Decimal Fraction To HEX HEX To Decimal HEX To Binary Binary To HEX © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal To HEX : Decimal To HEX A decimal integer can be converted to hex by repeated-division method with division factor of 16. Example Convert 26610 to Hex remainder 16 423 7 16 26 A 16 1 1 0 42310 = 1A716 © Made BY Arshpreet Singh http://aashuzone.co.nr 1010 = A16 WRITE IN THIS ORDER From Down to Up CONVERSIONS WITH HEX Decimal Fraction To Hex : Decimal Fraction To Hex To convert Decimal fraction into Hex, multiply fractional part with 16 till you get fractional part 0. Example : convert 0.0312510 to Hex Integer Part 0. 03125 * 16 =0.5 0 0. 5 * 16 = 8.0 8 0.0312510 = 0.0816 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH HEX Write From Up to Down HEX To Decimal : HEX To Decimal It can easily converted into decimal by multiplying each Hex digit by its positional weight has power of 16. For Example 2AF16 to Decimal 162 161 160 2 * 162 + A * 161 + F * 160 = 2 * 256 + 10 * 8 + 15 * 1 = 68710 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH HEX HEX To Binary : HEX To Binary To convert Hex To Binary is easy. This converting is performed by converting each hex digit to its 4 bit binary. Possible digits converted as indicated in Table Example : 3A616 to binary From table, 3 = 0011 , A = 1010 & 6 = 0110 We get 3A616 = 0011101001102 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH HEX Binary To HEX : Binary To HEX Its simply the reverse of Hex to binary. Make the four bits group starting from LSB. Then convert it with using Table For Example: 10101110102 to Hex Make group of four 0010 , 1011 & 1010 0010 = 2 , 1011 = B & 1010 = A 10101110102 = 2BA16 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH HEX Add Zero to Make it group of 4 bit. Slide 24: THANK YOU Made By Arshpreet Singh E-mail: aashu.wadehra@gmail.com Website : http://aashuzone.co.nr http://aashuzone.co.nr © Made BY Arshpreet Singh http://aashuzone.co.nr You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
DATA REPRESENTATION aashuzone aashu95 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 104 Category: Science & Tech.. License: All Rights Reserved Like it (4) Dislike it (0) Added: May 12, 2011 This Presentation is Public Favorites: 2 Presentation Description DATA REPRESENTATION OF COMPUTER SCIENCE IN THIS PRESENTATION YOU LEARN ABOUT HOW TO CONVERT NUMBER SYSTEMS LIKE FROM DECIMAL TO HEX BINARY TO DECIMAL BINARY TO OCTAL OCTAL TO BINARY ETC. FOR DOWNLOAD GO TO@ http://is.gd/contactme Enter your email address and send name of presentation which u wanted to download link will provide you within 24 hours Comments Posting comment... Premium member Presentation Transcript DATA REPRESENTATION : DATA REPRESENTATION CONVERSION NUMBER SYSTEM : NUMBER SYSTEM Decimal Number System Binary Number System Octal Number System Hexadecimal Number System © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal Number System : Decimal Number System The decimal system is composed of 1- numerals or symbols (Deca means 10, that is why this is called decimal system). These 10 symbols are 0,1,2,3,4,5,6,7,8,9 ; using these symbols as digit as number, we can express any quantity. The decimal system, also called the base-10 system © Made BY Arshpreet Singh http://aashuzone.co.nr Binary Number System : Binary Number System Binary System, there are only two symbols or possible digit values, 0 and 1. This base-2 system can be used to represent any quantity that can be represented in decimal or other number systems. The Binary system is also a positional-value system, wherein each binary digit has its own value expressed as a power of 2. © Made BY Arshpreet Singh http://aashuzone.co.nr Octal Number System : Octal Number System The Octal number system is very important in digital computer work. The octal number system has a base of eight, meaning that it has eight unique symbols : 0,1,2,3,4,5,6,7 . Thus each digit of an octal number can have any value from 0 to 7. The octal system is a positional value system, wherein each octal digit has its own value expressed as a power of 8. © Made BY Arshpreet Singh http://aashuzone.co.nr Hexadecimal Number System : Hexadecimal Number System The Hexadecimal System uses base 16. Thus, it has 16 possible digit symbols. It uses the digits 0 – 9 and the letter A, B, C, D, E & F as the 16 digit symbols. Hexadecimal is a positional value System has its own value expressed as a power of 16. © Made BY Arshpreet Singh http://aashuzone.co.nr NUMBER CONVERSIONS : NUMBER CONVERSIONS CONVERSIONS WITH BINARY Decimal To Binary Decimal Fraction To Binary Binary To Decimal Binary Fraction To Decimal © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal To Binary : Decimal To Binary To converting decimal to Binary we use Repeated division method. In this the no. is successively divide by 2 and its remainder recorded. For Example convert decimal to Binary 4310 2 43 2 21 1 2 10 1 2 5 0 2 2 1 2 1 0 1 1 CONVERSIONS WITH BINARY WRITE IN THIS ORDER From Down to Up Your Answer 4310 = 1010112 © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal Fraction To Binary : Decimal Fraction To Binary To Convert a decimal fraction into binary, multiply the decimal fraction by the base that’s 2. Do untill you will get zero at fractional part. For Example Convert 0.37510 to Binary Integer Part Multiply(fractional part)0.375 * 2 = 0.750 0 0.75 * 2 = 1.50 1 0.50 * 2 = 1.00 1 Your Answer is 0.37510 = 0.0112 Write From Up to Down © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH BINARY Binary To Decimal : Binary To Decimal To convert Binary to Decimal, Add positional weights or values with power of 2 start from right side. For Example Convert 11011 to Decimal. 1 * 24 + 1 * 23 + 0 * 22 + 1 * 21 + 1 * 20 = 16 + 8 + 0 + 2 + 1 = 2710 (decimal) © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH BINARY Binary Fraction To Decimal : Binary Fraction To Decimal To find binary fraction, take the sum of products of each digit value (0 – 1) and its positional value. Starts from left side. For Example convert 0.0101 to Decimal. 0 * 2-1 + 1 * 2-2 + 0 * 2-3 + 1 * 2-4 = 0 + 0.25 + 0 + 0.0625 0.01012 = 0.312510 (decimal) © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH BINARY NUMBER CONVERSIONS : NUMBER CONVERSIONS CONVERSIONS WITH OCTAL Decimal To Octal Decimal Fraction To Octal Octal To Decimal Octal To Binary Binary To Octal © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal To Octal : Decimal To Octal A decimal integer can be converted to octal by repeated-division method with division factor of 8. Example Convert 26610 to Octal remainder 8 266 2 8 33 1 8 4 4 0 26610 = 4128 © Made BY Arshpreet Singh http://aashuzone.co.nr WRITE IN THIS ORDER From Down to Up CONVERSIONS WITH OCTAL Decimal Fraction To Octal : Decimal Fraction To Octal To convert Decimal fraction into Octal, multiply fractional part with 8 till you get fractional part 0. Example : convert 0.37510 to Octal Integer Part 0.375 * 8 = 3.0 3 0.37510 = 0.38 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH OCTAL Write From Up to Down Octal To Decimal : Octal To Decimal It can easily converted into decimal by multiplying each octal digit by its positional weight. For Example 3728 to Decimal 82 81 80 3 * 82 + 7 * 81 + 2 * 80 = 3 * 64 + 7 * 8 + 2 * 1 = 25010 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH OCTAL Octal To Binary : Octal To Binary To convert Octal To Binary is easy. This converting is performed by converting each octal digit to its 3 bit binary. Possible digits converted as indicated in Table Example : 4728 to binary From table , 4 = 100 , 7 = 111 & 2 = 010 We get 4728 = 1001110102 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH OCTAL Binary To Octal : Binary To Octal Its simply the reverse of octal to binary. Make the three bits group starting from LSB. Then convert it with using Table For Example: 110101102 to Octal Make group of three 011 , 010 & 110 011 = 3 , 010 = 2 & 110 = 6 110101102 = 3268 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH OCTAL Add Zero To Make it group of 3 bit. NUMBER CONVERSIONS : NUMBER CONVERSIONS CONVERSIONS WITH HEX Decimal To HEX Decimal Fraction To HEX HEX To Decimal HEX To Binary Binary To HEX © Made BY Arshpreet Singh http://aashuzone.co.nr Decimal To HEX : Decimal To HEX A decimal integer can be converted to hex by repeated-division method with division factor of 16. Example Convert 26610 to Hex remainder 16 423 7 16 26 A 16 1 1 0 42310 = 1A716 © Made BY Arshpreet Singh http://aashuzone.co.nr 1010 = A16 WRITE IN THIS ORDER From Down to Up CONVERSIONS WITH HEX Decimal Fraction To Hex : Decimal Fraction To Hex To convert Decimal fraction into Hex, multiply fractional part with 16 till you get fractional part 0. Example : convert 0.0312510 to Hex Integer Part 0. 03125 * 16 =0.5 0 0. 5 * 16 = 8.0 8 0.0312510 = 0.0816 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH HEX Write From Up to Down HEX To Decimal : HEX To Decimal It can easily converted into decimal by multiplying each Hex digit by its positional weight has power of 16. For Example 2AF16 to Decimal 162 161 160 2 * 162 + A * 161 + F * 160 = 2 * 256 + 10 * 8 + 15 * 1 = 68710 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH HEX HEX To Binary : HEX To Binary To convert Hex To Binary is easy. This converting is performed by converting each hex digit to its 4 bit binary. Possible digits converted as indicated in Table Example : 3A616 to binary From table, 3 = 0011 , A = 1010 & 6 = 0110 We get 3A616 = 0011101001102 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH HEX Binary To HEX : Binary To HEX Its simply the reverse of Hex to binary. Make the four bits group starting from LSB. Then convert it with using Table For Example: 10101110102 to Hex Make group of four 0010 , 1011 & 1010 0010 = 2 , 1011 = B & 1010 = A 10101110102 = 2BA16 © Made BY Arshpreet Singh http://aashuzone.co.nr CONVERSIONS WITH HEX Add Zero to Make it group of 4 bit. Slide 24: THANK YOU Made By Arshpreet Singh E-mail: aashu.wadehra@gmail.com Website : http://aashuzone.co.nr http://aashuzone.co.nr © Made BY Arshpreet Singh http://aashuzone.co.nr