4FBF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4FBF 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 4FBF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4FBF by 16⁰, multiply the second to last digit in 4FBF by 16¹, multiply the third to last digit in 4FBF by 16², multiply the fourth to last digit in 4FBF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
B × 16¹ = 176
F × 16² = 3840
4 × 16³ = 16384

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:

15 + 176 + 3840 + 16384 = 20415

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.

20415 ÷ 2 = 10207 with 1 remainder
10207 ÷ 2 = 5103 with 1 remainder
5103 ÷ 2 = 2551 with 1 remainder
2551 ÷ 2 = 1275 with 1 remainder
1275 ÷ 2 = 637 with 1 remainder
637 ÷ 2 = 318 with 1 remainder
318 ÷ 2 = 159 with 0 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 4FBF hexadecimal to binary:

4FBF hexadecimal = 100111110111111 binary

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

4FC0 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.