FECF hexadecimal to binary

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

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

F × 16⁰ = 15
C × 16¹ = 192
E × 16² = 3584
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 + 192 + 3584 + 61440 = 65231

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.

65231 ÷ 2 = 32615 with 1 remainder
32615 ÷ 2 = 16307 with 1 remainder
16307 ÷ 2 = 8153 with 1 remainder
8153 ÷ 2 = 4076 with 1 remainder
4076 ÷ 2 = 2038 with 0 remainder
2038 ÷ 2 = 1019 with 0 remainder
1019 ÷ 2 = 509 with 1 remainder
509 ÷ 2 = 254 with 1 remainder
254 ÷ 2 = 127 with 0 remainder
127 ÷ 2 = 63 with 1 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 FECF hexadecimal to binary:

FECF hexadecimal = 1111111011001111 binary

Hexadecimal to Binary Converter
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