→ Number system:-
The classification of number on the basis of their uses is known as number system.
Note:- The number system has radix or base to represent the types of number system.
∴ Base represents the following information:-
- Identify the type of number system
- Total number contained by number system
- Range of number contained by the number system
• Formula to find the range of any number system:-
Range= 0 – (base – 1)
eg. 0 – (10-1)
=0 – 9
→ Types of number system:-
⁘ Decimal Numbers:
The number system which consist digits from 0 to 9 and whose base is 10 is called decimal number system. In the decimal system, there are ten possible digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
⁘ Binary Numbers System:
The number system whose base is 2 and has only two possible digits: 0 and 1 is called as binary number system.
• Here, 1 represents high-voltage and 0 represents low- voltage.
• Each digit (i.e. 0 or 1) in a binary number is called a “bit” (short for binary digit).
• Note: Binary number is less complicated than the decimal system because the binary system has only two digits.
∴ Here’s an example of a binary number,
Binary Number: (10100)2, (11011)2, (11001)2, (000101)2, (011010)2.
⁘ Hexa-decimal Number System:
The number system whose base is 16 and the number contained is 0-9 and A-F is called hexa-decimal number system. eg:-0 1 2 3 4 5 6 7 8 9 A B C D E F
⁘ Octal Number System:
The number system which consist digits from 0 to 7 and whose base is 8 is called octal number system.
Here’s an example of an octal number:
Octal Number: 345
Number Base Conversion:
