F2DC hexadecimal to binary

Here we will show you how to convert the hexadecimal number F2DC 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 F2DC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F2DC by 16⁰, multiply the second to last digit in F2DC by 16¹, multiply the third to last digit in F2DC by 16², multiply the fourth to last digit in F2DC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
D × 16¹ = 208
2 × 16² = 512
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:

12 + 208 + 512 + 61440 = 62172

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.

62172 ÷ 2 = 31086 with 0 remainder
31086 ÷ 2 = 15543 with 0 remainder
15543 ÷ 2 = 7771 with 1 remainder
7771 ÷ 2 = 3885 with 1 remainder
3885 ÷ 2 = 1942 with 1 remainder
1942 ÷ 2 = 971 with 0 remainder
971 ÷ 2 = 485 with 1 remainder
485 ÷ 2 = 242 with 1 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 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 F2DC hexadecimal to binary:

F2DC hexadecimal = 1111001011011100 binary

Hexadecimal to Binary Converter
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F2DD hexadecimal to binary
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