In this we will see about number conversion table. The number conversion table is nothing but a traditional number system. It is normally represented by string of digits. It includes fractional numbers, binary numbers, decimal numbers, octal, and so on. Let us see brief about number conversion table with example problems along with step by step process and some practice problems.

Number conversion table is given below:

Decimal |
Binary |
Octal |
Hex |

5 |
101 |
5 |
5 |

6 |
110 |
6 |
6 |

7 |
111 |
7 |
7 |

8 |
1000 |
10 |
8 |

9 |
1001 |
11 |
9 |

10 |
1010 |
12 |
A |

11 |
1011 |
13 |
B |

12 |
1100 |
14 |
C |

13 |
1101 |
15 |
D |

14 |
1110 |
16 |
E |

15 |
1111 |
17 |
F |

**Example problem 1:** By using the above table to covert the following binary number into hexadecimal number: 001000111001

**Solution:**

Given 001000111001

To convert the given into hexadecimal value, first we have to consider the first 4 binary numbers from right side.

0010 | 0011 | 1001

0010 represents 2

0011 represents 3

1001 represents 9

The hexadecimal value of the given 001000111001 is 239.

**Answer:** The hexadecimal value of the given 001000111001 is 239.

**Practice problem 1:** By using the above table to covert the following hexadecimal into binary number: 264

**Practice problem 2:** By using the above table to covert the following binary number into decimal number: 00110110

**Practice problem 3:** By using the above table to covert the following decimal number into octal number: 59

**Practice problem 4:** By using the above table to covert the following decimal number into hexadecimal number: 77

**Practice problem 5:** By using the above table to covert the following binary number into octal number: 11011011

**Solutions for number conversion table:**

**Solution 1:** The binary value of 264 is 001001100100.

**Solution 2:** The decimal value of 00110110 is 54.

**Solution 3:** The octal value of 59 is 73.

**Solution 4:** The hexadecimal value of 77 is 4D.

**Solution 5:** The octal value of 11011011 is 333.