How to convert Binary to Hexadecimal

To convert Binary to hexadecimal:

1. Starting from the right, divide the number in the binary into groups of 4.
2. Write down the hexadecimal value from the following table:

For Example:

Convert  11111011101110110

Solution:

1.Starting from the right divide into 4 groups as 

2.You would notice that the last group has only 1 binary digit i.e 1. To make it a group of 4 we can add three 0’s in front of it to make it 0001.

3. Using the table above we can write it as

0110 as 6, 0111 as 7, 1111 as F and 0001 as 1 to get 1F776.

To convert Hexadecimal to Binary:

1. Write down the number in the Hexadecimal System.
2. Write down the Binary value of each from the following table:

                For Example,

                Convert the Hexadecimal number FACB23.

                Solution:

1. Starting from the left , we have F A             C             B             2              3
2. Using the table above, write F as 1111, A as 1010, C as 1100, B as 1011, 2 as 0010 and 3 as 0011
3. We get the Binary number as 111110101100101100100011.

Exercise 1.

Convert the following binary numbers into hexadecimal:

1. 111001111100
2. 111001111100
3. 100110101100
4. 110010101001
5. 101011000011

Exercise 2. Convert the following from hexadecimal number system to binary number system:

1. A193
2. BCF8
3. ABC4
4. BEF4
5. CDAB

Answers to the Exercise:

1. CE7
2. E7C
3. 9AC
4. CA9
5. AC3

Answers to Exercise2:

1. 1010000110010011
2. 1011110011111000
3. 1010101111000100
4. 1011111011110100
5. 1100110110101011