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The number system plays an important role in computer calculations. The number system is an organised and systematic way of representing numbers. number systems are basically of two types: non- positional and positional number systems.

Number System

Non-positional number system

The non-positional number system is the one in which the symbol that is used to represent the number will have its own place value. In a non-positional number system, each number in each position does not have to be positional itself. Every system varies by country and it depends on symbols and values set by the people of that country. The most common non-positional number system is the Roman number system. It is a system of representing numbers devised by the ancient Romans. It is based on the 14 letters which are given values as numerals.

Positional number system

The opposition number system is the one in which each position is related to the next by a constant multiplier of that number system. For each position that the number is in, that system has a relative symbol or meaning, and in our way relates to the number directly next to it. The total value of a positive number is the total of the resultant values of all positions. The main position number system used in the computer are decimal binary octal and hexadecimal.

Binary number system

A digital computer represents all kinds of data and information in the binary number system. A binary number system consists of two digits 0 and 1. Its base is 2. Each digit Orbit in the binary number system can be 0 or 1. A combination of a binary number may be used to represent different quantities like 1001. The weight of each position is a power of 2. 

Decimal number system

The decimal number system is a positional number system having a base of 10. It utilises the symbol of the number from 0 to 9. It is also called the Denary number system. For example, if we consider the number 257, the digit 7 represents the number of units, 5 represents the number of tens, and to represent the number of hundreds.

Octal number system

The system is a position number system having base 8. It utilises the digits from 0 to 7. it is known as the ternary number system. Doctor system is used in computing at simple means of expressing binary quantities.

Hexadecimal number system

The decimal number system is a positional number system having base 16. The symbols used in the systems are the decimal digits 0 through 9 and six additional digits are generally represented as A, B, C, D, E, and F. It is also known as the hexadecimal number system. 



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