8FC3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8FC3 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 8FC3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8FC3 by 16⁰, multiply the second to last digit in 8FC3 by 16¹, multiply the third to last digit in 8FC3 by 16², multiply the fourth to last digit in 8FC3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
C × 16¹ = 192
F × 16² = 3840
8 × 16³ = 32768

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:

3 + 192 + 3840 + 32768 = 36803

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.

36803 ÷ 2 = 18401 with 1 remainder
18401 ÷ 2 = 9200 with 1 remainder
9200 ÷ 2 = 4600 with 0 remainder
4600 ÷ 2 = 2300 with 0 remainder
2300 ÷ 2 = 1150 with 0 remainder
1150 ÷ 2 = 575 with 0 remainder
575 ÷ 2 = 287 with 1 remainder
287 ÷ 2 = 143 with 1 remainder
143 ÷ 2 = 71 with 1 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 8FC3 hexadecimal to binary:

8FC3 hexadecimal = 1000111111000011 binary

Hexadecimal to Binary Converter
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