1CFC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1CFC 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 1CFC from hexadecimal to binary are explained below.

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

C × 16⁰ = 12
F × 16¹ = 240
C × 16² = 3072
1 × 16³ = 4096

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 + 240 + 3072 + 4096 = 7420

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.

7420 ÷ 2 = 3710 with 0 remainder
3710 ÷ 2 = 1855 with 0 remainder
1855 ÷ 2 = 927 with 1 remainder
927 ÷ 2 = 463 with 1 remainder
463 ÷ 2 = 231 with 1 remainder
231 ÷ 2 = 115 with 1 remainder
115 ÷ 2 = 57 with 1 remainder
57 ÷ 2 = 28 with 1 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 1CFC hexadecimal to binary:

1CFC hexadecimal = 1110011111100 binary

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