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Chapter - 1: Number Systems

Number Systems:

There are four types of number systems one decimalnumber system two binary number system 3 octal number system 4 hexadecimal number system decimal number system decimal number system have 10 symbols from zero to 9 to represent the system the system is a weighted system are given by the (10n - 10-n). This number system is used by Humans.

Binary Number Systems:

The binary number system has base two means two symbols zero and one are used to represent this system this number system is also a weighted system the weights of binary number system are given by 2n – 2-n. The computer system uses binary number system

Octal Number System:

This system has a base 8 means eight symbols from zero to 7 are used to represent this system like decimal and binary, the octal number system is also rated system the weights of octal number system are given by 8n - 8-n. The advantage of this number system is that each octal digit represent 3 binary digit.

Hexa-Decimal Number System

This number system has a 16 base means 16 symbols are used to represent this system out of these six symbols turn our decimal digits from zero to 9 and six are alphabet from A to F (10 – 15). The main advantage of this system is that each hexadecimal digit represent four binary bits.

Table of Number System:

Decimal Binary Octal Hexa-Decimal Base - 5 Base - 7
0 0000 0 0 0 0
1 0001 1 1 1 1
2 0010 1 1 1 1
3 0011 3 3 3 3