CF10 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CF10 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 CF10 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CF10 by 16⁰, multiply the second to last digit in CF10 by 16¹, multiply the third to last digit in CF10 by 16², multiply the fourth to last digit in CF10 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
1 × 16¹ = 16
F × 16² = 3840
C × 16³ = 49152

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:

0 + 16 + 3840 + 49152 = 53008

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.

53008 ÷ 2 = 26504 with 0 remainder
26504 ÷ 2 = 13252 with 0 remainder
13252 ÷ 2 = 6626 with 0 remainder
6626 ÷ 2 = 3313 with 0 remainder
3313 ÷ 2 = 1656 with 1 remainder
1656 ÷ 2 = 828 with 0 remainder
828 ÷ 2 = 414 with 0 remainder
414 ÷ 2 = 207 with 0 remainder
207 ÷ 2 = 103 with 1 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 CF10 hexadecimal to binary:

CF10 hexadecimal = 1100111100010000 binary

Hexadecimal to Binary Converter
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