FCC5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FCC5 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 FCC5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FCC5 by 16⁰, multiply the second to last digit in FCC5 by 16¹, multiply the third to last digit in FCC5 by 16², multiply the fourth to last digit in FCC5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
C × 16¹ = 192
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:

5 + 192 + 3072 + 61440 = 64709

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.

64709 ÷ 2 = 32354 with 1 remainder
32354 ÷ 2 = 16177 with 0 remainder
16177 ÷ 2 = 8088 with 1 remainder
8088 ÷ 2 = 4044 with 0 remainder
4044 ÷ 2 = 2022 with 0 remainder
2022 ÷ 2 = 1011 with 0 remainder
1011 ÷ 2 = 505 with 1 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 FCC5 hexadecimal to binary:

FCC5 hexadecimal = 1111110011000101 binary

Hexadecimal to Binary Converter
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