Number System, Conversion and Boolean Logic


2.1  Number System and Conversion

A number system is a set of values used to represent different quantities and other special characters.

The base of a Number System

The base or radix of number system is defined as the number of different types digits used to represent the number system. For example in binary number system, we use (0,1) two digits so its base is 2.

Types of Number System:

1. Decimal Number System:
It is the most popular numbering system used in our daily life. It contains 10 digits (0,1,2,3,4,5,6,7,8,9). So the base of the decimal number system is 10.

2. Binary Number System:
It is the number system of the computer. i.e. the mother language of the computer. It consists of 2 digits (0 and 1). So, base of the binary number system is 2.

3. Octal number Number System:
The octal Number system can consist of 8 digits (0,1,2,3,4,5,6,7). So, the base of the Octal number system is 8.

4. Hexadecimal Number System:
It consists of 16 symbols i.e. 10 digits (0,1,2,......9) and 6 letters ( A, B, C, D, E, F) where the value of letters A to F is equivalent to 10, 11, 12, 13, 14 and 15 respectively.


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