F0EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number F0EF 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 F0EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F0EF by 16⁰, multiply the second to last digit in F0EF by 16¹, multiply the third to last digit in F0EF by 16², multiply the fourth to last digit in F0EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
0 × 16² = 0
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:

15 + 224 + 0 + 61440 = 61679

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.

61679 ÷ 2 = 30839 with 1 remainder
30839 ÷ 2 = 15419 with 1 remainder
15419 ÷ 2 = 7709 with 1 remainder
7709 ÷ 2 = 3854 with 1 remainder
3854 ÷ 2 = 1927 with 0 remainder
1927 ÷ 2 = 963 with 1 remainder
963 ÷ 2 = 481 with 1 remainder
481 ÷ 2 = 240 with 1 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 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 F0EF hexadecimal to binary:

F0EF hexadecimal = 1111000011101111 binary

Hexadecimal to Binary Converter
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