CFFF hexadecimal to binary

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

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

F × 16⁰ = 15
F × 16¹ = 240
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:

15 + 240 + 3840 + 49152 = 53247

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.

53247 ÷ 2 = 26623 with 1 remainder
26623 ÷ 2 = 13311 with 1 remainder
13311 ÷ 2 = 6655 with 1 remainder
6655 ÷ 2 = 3327 with 1 remainder
3327 ÷ 2 = 1663 with 1 remainder
1663 ÷ 2 = 831 with 1 remainder
831 ÷ 2 = 415 with 1 remainder
415 ÷ 2 = 207 with 1 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 CFFF hexadecimal to binary:

CFFF hexadecimal = 1100111111111111 binary

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