CF93 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CF93 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 CF93 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CF93 by 16⁰, multiply the second to last digit in CF93 by 16¹, multiply the third to last digit in CF93 by 16², multiply the fourth to last digit in CF93 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
9 × 16¹ = 144
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:

3 + 144 + 3840 + 49152 = 53139

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.

53139 ÷ 2 = 26569 with 1 remainder
26569 ÷ 2 = 13284 with 1 remainder
13284 ÷ 2 = 6642 with 0 remainder
6642 ÷ 2 = 3321 with 0 remainder
3321 ÷ 2 = 1660 with 1 remainder
1660 ÷ 2 = 830 with 0 remainder
830 ÷ 2 = 415 with 0 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 CF93 hexadecimal to binary:

CF93 hexadecimal = 1100111110010011 binary

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CF94 hexadecimal to binary
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