F648 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F648 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 F648 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F648 by 16⁰, multiply the second to last digit in F648 by 16¹, multiply the third to last digit in F648 by 16², multiply the fourth to last digit in F648 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
4 × 16¹ = 64
6 × 16² = 1536
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:

8 + 64 + 1536 + 61440 = 63048

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.

63048 ÷ 2 = 31524 with 0 remainder
31524 ÷ 2 = 15762 with 0 remainder
15762 ÷ 2 = 7881 with 0 remainder
7881 ÷ 2 = 3940 with 1 remainder
3940 ÷ 2 = 1970 with 0 remainder
1970 ÷ 2 = 985 with 0 remainder
985 ÷ 2 = 492 with 1 remainder
492 ÷ 2 = 246 with 0 remainder
246 ÷ 2 = 123 with 0 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 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 F648 hexadecimal to binary:

F648 hexadecimal = 1111011001001000 binary

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

F649 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.