FC3E hexadecimal to binary

Here we will show you how to convert the hexadecimal number FC3E 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 FC3E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FC3E by 16⁰, multiply the second to last digit in FC3E by 16¹, multiply the third to last digit in FC3E by 16², multiply the fourth to last digit in FC3E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
3 × 16¹ = 48
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 + 48 + 3072 + 61440 = 64574

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.

64574 ÷ 2 = 32287 with 0 remainder
32287 ÷ 2 = 16143 with 1 remainder
16143 ÷ 2 = 8071 with 1 remainder
8071 ÷ 2 = 4035 with 1 remainder
4035 ÷ 2 = 2017 with 1 remainder
2017 ÷ 2 = 1008 with 1 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 FC3E hexadecimal to binary:

FC3E hexadecimal = 1111110000111110 binary

Hexadecimal to Binary Converter
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FC3F hexadecimal to binary
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