**What is number system in computer?**

When we talk to each other then it is composed of words and letters because we can understand numbers, letters and words but computer does not understand this type of language, it understands only numbers.

**How to change the password of computer?**

Computer gives a numerical value to every symbol, number and character so when we send any type of instruction or data to computer then language translator converts it into binary language (0,1). Language translator is a system software which is already present in computer.

Number system is used to display information in computer when we type any letter or word then it converts it into number because computer can only understand number language. Thus computer understands only numeric language whether it is any character, number, symbol, audio, video, graphics.

**How many types of number systems are there?**

The number system is divided into two types which are divided into 4 sub-categories, the information of which we are giving below.

**What is Non Positional Number System?**

The number system in which there is no change in the value of the number when the position of the number is changed. This type of number system is called non-positional number system.

**Non Positional Number System :**

You can understand from the picture given above that there will be no change in the value of the number when the position of the number is changed. Non-positional number system was used in old times, now it is not used.

**What is Positional Number System?**

The number system in which there is no change in the value of the number when the position of the number is changed. This type of number system is called non-positional number system.

**Positional number system**

You can understand from the picture given above that when the position of a number is changed, its value also changes.

**Types of positional number system :**

Positional Number System is divided into four categories. We are giving detailed information about them below.

- Binary Number System
- Octal Number System
- Decimal Number System
- Hexa-Decimal Number System

**1. Binary Number System :**

The base of binary number system is 2. This number system has only 2 digits (0,1) which are called binary bits. 0 and 1 are used to make any binary digit.

Digital computer displays its data only in binary numbers. It has only two numbers (0,1) so it is called binary number system. In this 0 means no acceptance of flow of electricity and 1 means acceptance of flow of electricity. Binary number system is mostly used in machine language so machine language is also called binary language.

**2. Octal Number System :**

The base of octal number system is 8. It uses 8 digits which includes 8 digits (0,1,2,3,4,5,6,7).

Octal number system is used a lot in the field of computers.

**3. Decimal Number System :**

The base of decimal number system is 10. It includes 10 numbers (0,1,2,3,4,5,6,7,8,9).

You and I use decimal number system in our daily life. In this, 10 digits are used to represent any number which are as follows – 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 digits. Every digit written in decimal number system has a local value which is known as multiplier, hundred, thousand, ten and unit etc. Its minimum value is 0 and maximum value is 9.

Examples of numbers in this number system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. All the numbers made from these digits come under the category of decimal numbers. Below are some examples of this.

**4. Hexa-Decimal Number System :**

The base of Hexadecimal number system is 16 and it includes 16 numbers (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F).

It is called Hexa Decimal because Hexa means 6 and decimal means 10. Hexadecimal number system has 16 symbols which include 10 digits and 6 letters which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.

The alphabet letters used in hexadecimal number system are represented as follows.

- 10 is A

- 11 is B
- 12 is C
- 13 is D
- 14 is E
- 15 is F

Its base is 16 because it has 16 alphanumeric values. It can also be used as an alphanumeric system because it contains numbers and letters. We can use letters along with numeric digits.