Types of Number System
Introduction
Number system is an organized and systematic way of representing numbers. Number system are basically of two types:
• Non-Positional number System
In this number system symbols that are used to represent a number will have its own place value. In non-positional number system each number in each position does not have to be positional itself. The most common non positional number system is the roman number system.
• Positional Number System
In this number system each position is related to the next by a constant multiplier of that numeral system. For each position that the number is in, in that system has a relative symbols or meaning and in a way relates to the number directy next to it. The main positional number systems used in computer ae decimal, binary and octal and hexadecimal.
Decimal Number Ssystem
A decimal number system is believed to be founded a Hindu Philosopher. It is the most popular numbering system used in our daily life. It can contain 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9). So, it is also called the base-10 number system . It is subscripted by 10 or D. For example, 123(base 10).
Binary Number System
Binary number system is a positional number system having base 2. It uses the symbols 0 and 1.The binary number can be converfted to decimal form in the following ways:
Octal number system
Octal number system is a positional number system having base 8. It uses the digits from 0 to 7.The Octal number can be converfted to decimal form in the following ways:
Hexadecimal Number System
Hexadecimal number system is a positional number system having base 16. It uses the alphanumeric values from o to 9 and A to F.The Octal number can be converfted to decimal form in the following ways:
Binary Number | Octal Number | Decimal Number | Hexa Decimal |
---|---|---|---|
0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 |
10 | 2 | 2 | 2 |
11 | 3 | 3 | 3 |
100 | 4 | 4 | 4 |
101 | 5 | 5 | 5 |
110 | 6 | 6 | 6 |
111 | 7 | 7 | 7 |
1000 | 10 | 8 | 8 |
1001 | 11 | 9 | 9 |
1010 | 12 | 10 | A |
1011 | 13 | 11 | B |
1100 | 14 | 12 | C |
1101 | 15 | 13 | D |
1110 | 16 | 14 | E |
1111 | 17 | 15 | F |