FBC9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FBC9 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 FBC9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FBC9 by 16⁰, multiply the second to last digit in FBC9 by 16¹, multiply the third to last digit in FBC9 by 16², multiply the fourth to last digit in FBC9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
C × 16¹ = 192
B × 16² = 2816
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:

9 + 192 + 2816 + 61440 = 64457

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.

64457 ÷ 2 = 32228 with 1 remainder
32228 ÷ 2 = 16114 with 0 remainder
16114 ÷ 2 = 8057 with 0 remainder
8057 ÷ 2 = 4028 with 1 remainder
4028 ÷ 2 = 2014 with 0 remainder
2014 ÷ 2 = 1007 with 0 remainder
1007 ÷ 2 = 503 with 1 remainder
503 ÷ 2 = 251 with 1 remainder
251 ÷ 2 = 125 with 1 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 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 FBC9 hexadecimal to binary:

FBC9 hexadecimal = 1111101111001001 binary

Hexadecimal to Binary Converter
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