### Day 40: Number System

Hello Dear Students,

Hope you all are doing good..

Aaj hum computer number system ke baare mein study karenge,

So, let's get started....

- Computer system ki language Binary language hoti hai.
- Binary Language means 0s and 1s.
- User jo bhi input deta hai, computer usse binary form mein convert karke processing karta hai, because computer system can understand only 0s and 1s.
- So, hum discuss karenge binary numbers ko.

Decimal Number | Binary Number | Explanation |

0 | 0 | Since we take only 0 and 1, so first comes 0 |

1 | 1 | Now, the next of 0 is 1, so here value of decimal no 1 is 1 |

2 | 10 | After 1, there is 10 in which 0 and 1 comes, because from 2 to 9, there is no 0 and 1. |

3 | 11 | After 10, 11 has 0 or 1.which is 11. |

4 | 100 | After 11, there is only 100 which is 0 and 1s. |

5 | 101 | Next is 101,thus 5 is stored in computer as 101. |

6 | 110 | Next is 110,thus 6 is stored in computer as 110. |

7 | 111 | Next is 111, thus 7 stores in computer as 111. |

8 | 1000 | After 111, there comes 1000, where 0 and 1 comes. |

9 | 1001 | Next is 1001, thus 9 is stored in computer as 1001. |

**BINARY NUMBER SYSTEM**- Basically jis numbers mein only 0 and 1 hon, wohi binary numbers hote hain.
- The number of digits in binary numbers are two(0 and 1), which are known as Bits.
- The base is 2.

**DECIMAL NUMBER SYSTEM**- Decimal numbers are basic which we use in our daily life.
- The digits in decimal numbers are- 0,1,2,3,4,5,6,7,8,9.
- The base is 10.

**OCTAL NUMBER SYSTEM**- Octal numbers are the numbers with base 8.
- The number of digits are- 8 (0,1,2,3,4,5,6,7).
- Counting sequence is - 0,1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,20,21,...so on.

**HEXADECIMAL NUMBER SYSTEM**- Hexadecimal numbers are the numbers with base 16.
- The number of digits are - 16 (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F).
- A,B,C,D,E,F are equivalent to decimal numbers 10,11,12,13,14, and 15 respectively.

Next, we will discuss about the conversions.

Best of Luck Students,

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Regards,

**UGC NET EXPERTS**