FC1E hexadecimal to binary

Here we will show you how to convert the hexadecimal number FC1E 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 FC1E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FC1E by 16⁰, multiply the second to last digit in FC1E by 16¹, multiply the third to last digit in FC1E by 16², multiply the fourth to last digit in FC1E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
1 × 16¹ = 16
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 + 16 + 3072 + 61440 = 64542

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.

64542 ÷ 2 = 32271 with 0 remainder
32271 ÷ 2 = 16135 with 1 remainder
16135 ÷ 2 = 8067 with 1 remainder
8067 ÷ 2 = 4033 with 1 remainder
4033 ÷ 2 = 2016 with 1 remainder
2016 ÷ 2 = 1008 with 0 remainder
1008 ÷ 2 = 504 with 0 remainder
504 ÷ 2 = 252 with 0 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 FC1E hexadecimal to binary:

FC1E hexadecimal = 1111110000011110 binary

Hexadecimal to Binary Converter
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FC1F hexadecimal to binary
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