FCED hexadecimal to binary

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

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

D × 16⁰ = 13
E × 16¹ = 224
C × 16² = 3072
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:

13 + 224 + 3072 + 61440 = 64749

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.

64749 ÷ 2 = 32374 with 1 remainder
32374 ÷ 2 = 16187 with 0 remainder
16187 ÷ 2 = 8093 with 1 remainder
8093 ÷ 2 = 4046 with 1 remainder
4046 ÷ 2 = 2023 with 0 remainder
2023 ÷ 2 = 1011 with 1 remainder
1011 ÷ 2 = 505 with 1 remainder
505 ÷ 2 = 252 with 1 remainder
252 ÷ 2 = 126 with 0 remainder
126 ÷ 2 = 63 with 0 remainder
63 ÷ 2 = 31 with 1 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 FCED hexadecimal to binary:

FCED hexadecimal = 1111110011101101 binary

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FCEE hexadecimal to binary
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