F8B3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F8B3 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 F8B3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F8B3 by 16⁰, multiply the second to last digit in F8B3 by 16¹, multiply the third to last digit in F8B3 by 16², multiply the fourth to last digit in F8B3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
B × 16¹ = 176
8 × 16² = 2048
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:

3 + 176 + 2048 + 61440 = 63667

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.

63667 ÷ 2 = 31833 with 1 remainder
31833 ÷ 2 = 15916 with 1 remainder
15916 ÷ 2 = 7958 with 0 remainder
7958 ÷ 2 = 3979 with 0 remainder
3979 ÷ 2 = 1989 with 1 remainder
1989 ÷ 2 = 994 with 1 remainder
994 ÷ 2 = 497 with 0 remainder
497 ÷ 2 = 248 with 1 remainder
248 ÷ 2 = 124 with 0 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 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 F8B3 hexadecimal to binary:

F8B3 hexadecimal = 1111100010110011 binary

Hexadecimal to Binary Converter
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