F2AB hexadecimal to binary

Here we will show you how to convert the hexadecimal number F2AB to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert F2AB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F2AB by 16⁰, multiply the second to last digit in F2AB by 16¹, multiply the third to last digit in F2AB by 16², multiply the fourth to last digit in F2AB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
A × 16¹ = 160
2 × 16² = 512
F × 16³ = 61440

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

11 + 160 + 512 + 61440 = 62123

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

62123 ÷ 2 = 31061 with 1 remainder
31061 ÷ 2 = 15530 with 1 remainder
15530 ÷ 2 = 7765 with 0 remainder
7765 ÷ 2 = 3882 with 1 remainder
3882 ÷ 2 = 1941 with 0 remainder
1941 ÷ 2 = 970 with 1 remainder
970 ÷ 2 = 485 with 0 remainder
485 ÷ 2 = 242 with 1 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to F2AB hexadecimal to binary:

F2AB hexadecimal = 1111001010101011 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

F2AC hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.