FCFE hexadecimal to binary

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

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

E × 16⁰ = 14
F × 16¹ = 240
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:

14 + 240 + 3072 + 61440 = 64766

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.

64766 ÷ 2 = 32383 with 0 remainder
32383 ÷ 2 = 16191 with 1 remainder
16191 ÷ 2 = 8095 with 1 remainder
8095 ÷ 2 = 4047 with 1 remainder
4047 ÷ 2 = 2023 with 1 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 FCFE hexadecimal to binary:

FCFE hexadecimal = 1111110011111110 binary

Hexadecimal to Binary Converter
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FCFF hexadecimal to binary
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