**Number System of Computer**

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**number system of the computer**. If you know already knowing about it it’s good if you don’t know about it watching this article till the end.**Objective:**

First of all, talking about the objective of this article. After watching this article the visitors will be able to follow topic:

Definition of Number System of Computer.

Category of Number system of the computer.

Definition of all types of Number systems.

Convert one number system to another number system.

These are the objective of this page.

**Definition Of Number System of Computer.**

The number system of computers defines as the collection of values used to represent quantity. This system is mostly used in the computer system. The binary number system is a very useful and understandable number system for computer systems. Basically, it is the set of values.

Different types of number systems are developed in different time periods. Today we will discuss the binary, decimal, octal, hexadecimal number system, etc.

**How to Learn Number System of Computer?**

A number framework is an approach to addressing numbers. Base ten or the decimal framework is one regular number framework. Other number frameworks are Binary (base 2), Hexadecimal (base 16), and Octal (base 8). Early rudimentary evaluations study numbers and tasks in base ten normally in entire numbers and a few.

**Category of the Number System.**

**Number Systems can be categorized into two-part:**- Nonpositional Number System.
- Positional Number System.

**Non-positional Number System**

In the non-positional Number System, each symbol represents a value regardless of its position and the numbers are simply added to find the value of a particular number. The Roman number system is the most common non-positional number. Like, I, II, IV, V, VI, IX, X, etc. Are use. It is more difficult to access mathematical calculations with such a number system than after a positional number system will be developed.

**Positional Number System**

The Positional Number System uses very few symbols known as digits and each digit represents different values depending on the position occupied by the digit and its base.

**The base of the number system is determined by the number of digits in use.**

*The followings are examples of the Positional Number System :*

- Binary Number System.

- Decimal Number System.

- Octal Number System.

- Hexadecimal Number system.

The number system which forms by using the digits from 0 to 9 is the Decimal Number System.

It is the base is 10 because it consists of ten digits. It is a common and popular number system.

**Binary Number System**

The number system which forms from 0 to 1 is a binary number system.

Its base is two because it consists of two digits 0 and 1.

It is also called the smallest unit of a computer. 0 represents the ‘OFF’, and 1 represents the ‘ON’. A computer works based on the terms of ON and OFF electric pulses.

**Octal Number System**

The number system which forms by eight different digits is known as the octal number system. Its different digits are [0, 1, 2, 3, 4, 5, 6, 7 ]. Its base is 8 which use as a positional weight.

**Hexadecimal Number System**

The number system is formed by sixteen different characters 0 to 9 [0, 1,2 3, 4, 5, 6, 7, 8, 9] and A to F [A, B, C, D, E, F] is called a hexadecimal number system. 10, B stands for 11, and so on. Its positional weight is 16 which is called the base.

**Convert Different Number System.**

As you probably are aware decimal, pair, octal, and hexadecimal number frameworks are positional worth number frameworks. To change over parallel, octal, and hexadecimal to a decimal number, we simply need to add the result of every digit with its positional worth. Here we will learn other changes among these number frameworks.

Now I will talk about the number system conversion. Which are detailed below you can see.

**How to Convert Decimal to Binary Number**

The followings are the process of converting the Decimal to a Binary number system:-

Decimal to binary conversion makes by dividing the given decimal number by the base of the binary number, which is 2.

In this division process, we get the remainder 0 or 1.

Note down the remainder to the right-hand side.

Continue the division process till the quotation is zero (0).

Arrange all the reminders from the bottom to the top that obtains the binary number of the given decimal number.

**How to Convert Binary to Decimal Number?**

The binary-to-decimal conversion makes by making the sum of each binary digit multiplied by 2 with raised to the power positional notation of digits.

The positional notation starts from right to left.

**How do Convert Decimals to Octal Numbers?**

The followings are the process of converting the Decimal to an Octal number system:-

Decimal to octal conversion makes by dividing the given decimal number by the base of the octal number. Which number is 8?

Note down the remainder on the right-hand side.

Keep continuing the division process till the quotation is zero (0).

Arrange all the remainder from the bottom to the top that obtains the octal number of the given decimal number.

**How to Convert Octal to Decimal Number?**

The octal to decimal conversion makes by multiplying each digit of the octal number by its base 8 with raised to the positional notation of octal digits.

The positional notation starts from right to left.

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**How do Convert Decimal to Hexadecimal Numbers?**

The followings are the conversion process from Decimal to Hexadecimal:-

Decimal to Hexadecimal conversion makes by dividing the given decimal number by the base of the Hexadecimal number. Which number is 16?

Note down the remainder on the right-hand side.

Keep continuing the division process till the quotation is zero (0).

Arrange all the remainder from the bottom to the top that obtains the Hexadecimal number of the given number.

**How to Convert Hexadecimal to Decimal Number?**

The Hexadecimal to decimal conversion make by multiplying each digit of the Hexadecimal number by its base, 16 with raised to the power of the positional notation of the digits.

The positional notation starts from right to left.

**How to Convert Binary to Octal Number?**

Group the binary digits in the sets of three bits from right to left and find the equivalent octal value from the conversion table. If the binary bits are less than three bits add 0 to the left-hand side to make a complete set.

**How to Convert Octal to Binary Number?**

The following steps are octal to binary:-

Convert each octal digit into 3 bits binary equivalent.

Combine the 3-bit sections by removing the spaces that obtain binary numbers.

**How to Convert Binary to Hexadecimal Number?**

Group the binary digit in the sets of four bits from right to left and find the equivalent Hexadecimal value from the conversion table. If the binary bits are less than four bits add 0 to the left-hand side to make a complete set.

**How to Convert Hexadecimal to Binary Number?**

Convert each Hexadecimal digit into 4 digits binary equivalent and group the obtained binary number.

*The Binary Addition Number*

*The Binary Addition Number*

Binary addition is similar to the decimal addition system but there are certain different rules of binary addition.

*Binary Subtraction*

*Binary Subtraction*

Like binary addition, binary Subtraction also follows four rules for operation. These rules are discussed below:

*Binary Multiplication*

*Binary Multiplication*

The rules for binary Multiplication give below:

*Binary Division*

*Binary Division*

The rules for binary division give below:

This is the detailed process of the

**Number System of the Computer**. I hope this article is very useful for you. Thank you, guys, for visiting this page. If you like please shear to other friends and comment in the comments section. This helps you all with the Number System of the computer. All the conversions of each**number system.**