Number system , Basic Computer Science

NUMBER SYSTEM:

 We are familiar with decimal number system which uses ten distinct symbols from 0...9, and has base 10. In the decimal number system a number n4n3n2nis interpreted as 1914_number system.png. Thus decimal number 5632 represents 5000+600+30+2. It is a weighted code system since numbers 5632, 2563, 3562, 6532 all represent different quantities despite the fact that all of them use the same symbols (2,3,5,6). The magnitude/ value of a number is determined both by the symbols used and the places at which they are present. Thus, symbol 3 at ten's place represent 30, but when written at thousands' place it represent 3000. Although we use only the decimal number system in everyday applications but there are many other number systems possible. In fact, we can have number system with any base r.

  A number system with base r will have r distinct symbols, from 0 to r-1. Binary number system (r = 2), octal number system (r = 8) and hexadecimal number system (r = 16) are some of the frequently used number systems in computer science. Binary number system has two distinct symbols 0 & 1; Octal has seven distinct symbols 0,1,2,3,4,5,6,7; and Hexadecimal number system has sixteen distinct  symbols namely 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. The numbers written in a particular number system can be transformed to an equivalent value in a different number system.

For example a number 3F in hexadecimal is equivalent to 63 (3×161 + F × 160) in decimal number system. And similarly a number 302 in octal is equivalent to 194 (3× 82 + 0 × 81+2 × 80) in decimal number system.  

 

Posted Date: 10/22/2012 3:36:23 AM | Location : United States







Related Discussions:- Number system , Assignment Help, Ask Question on Number system , Get Answer, Expert's Help, Number system Discussions

Write discussion on Number system
Your posts are moderated
Related Questions
Array: Array  :  In programming, when large amount of related data needs to be processed and each data element is stored with different a variable name, it becomes very diffic

#questionexplain strategic mis categories in detail with illustration..

Working of a Computer Computer may be divided into the following units     Input Unit     Main Memory or Primary Storage Unit     Arithmetic-Logic Unit

You can also allocate a single value to several variables at the same time. For instance: X=y=z =1 Now, an integer object is generated with the value 1, and all three variables are

Types of Search Engine:   Some of the basic categories of Search engines are :  a. Primary Search Engines: Such search engines use web crawlers or spiders to traverse the w

PROGRAMMABLE ROM (PROM): The user can program a PROM after purchase.  Each memory bit element in the PROM contains a nichrome or silicon link that acts as a fuse.  The user can

Dear sir please define what is the difference between FAT 32 and NTFS .

what is charactersics of mobile computing

Using only the digits 1-6 how many five digit numbers can be formed? How many of these have at least a 5? How many of them have either no 5 or no 6?