FCB6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FCB6 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 FCB6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FCB6 by 16⁰, multiply the second to last digit in FCB6 by 16¹, multiply the third to last digit in FCB6 by 16², multiply the fourth to last digit in FCB6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
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:

6 + 176 + 3072 + 61440 = 64694

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.

64694 ÷ 2 = 32347 with 0 remainder
32347 ÷ 2 = 16173 with 1 remainder
16173 ÷ 2 = 8086 with 1 remainder
8086 ÷ 2 = 4043 with 0 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 FCB6 hexadecimal to binary:

FCB6 hexadecimal = 1111110010110110 binary

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