F0CE hexadecimal to binary

Here we will show you how to convert the hexadecimal number F0CE 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 F0CE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F0CE by 16⁰, multiply the second to last digit in F0CE by 16¹, multiply the third to last digit in F0CE by 16², multiply the fourth to last digit in F0CE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
C × 16¹ = 192
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:

14 + 192 + 0 + 61440 = 61646

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.

61646 ÷ 2 = 30823 with 0 remainder
30823 ÷ 2 = 15411 with 1 remainder
15411 ÷ 2 = 7705 with 1 remainder
7705 ÷ 2 = 3852 with 1 remainder
3852 ÷ 2 = 1926 with 0 remainder
1926 ÷ 2 = 963 with 0 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 F0CE hexadecimal to binary:

F0CE hexadecimal = 1111000011001110 binary

Hexadecimal to Binary Converter
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F0CF hexadecimal to binary
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