Number Systems Operation and Codes(Digital Logic Notes)
Number System A number system is a set of symbols used to represent values derived from a common base or radix(r). As far as computer are concerned, number systems can be classified into four major categories. Decimal Number System Binary Number System Octal Number System Hexadecimal Number System A number expressed in base-r-system has coefficient multiplied by power of r. A n .r n + a n-1 .r n-1 +…. a 2 .r 2 + a 1 .r +a 0 + a -1 .r -1 +a -2 .r 2 + ….. +a -m .r -m EXAMPLE :- The first Sixteen Number in the decimal, binary, octal and hexadecimal systems are given in following Table : Decimal Binary Octal Hexadecimal Base 10 Base 2 Base 8 Base 16 00 0000 00 0 01 0001 01 1 02 0010 02 2 03 0011 03 3 04 0100 ...
