FCB9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FCB9 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 FCB9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FCB9 by 16⁰, multiply the second to last digit in FCB9 by 16¹, multiply the third to last digit in FCB9 by 16², multiply the fourth to last digit in FCB9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
B × 16¹ = 176
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:

9 + 176 + 3072 + 61440 = 64697

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.

64697 ÷ 2 = 32348 with 1 remainder
32348 ÷ 2 = 16174 with 0 remainder
16174 ÷ 2 = 8087 with 0 remainder
8087 ÷ 2 = 4043 with 1 remainder
4043 ÷ 2 = 2021 with 1 remainder
2021 ÷ 2 = 1010 with 1 remainder
1010 ÷ 2 = 505 with 0 remainder
505 ÷ 2 = 252 with 1 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 FCB9 hexadecimal to binary:

FCB9 hexadecimal = 1111110010111001 binary

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