CF98 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CF98 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 CF98 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CF98 by 16⁰, multiply the second to last digit in CF98 by 16¹, multiply the third to last digit in CF98 by 16², multiply the fourth to last digit in CF98 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
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:

8 + 144 + 3840 + 49152 = 53144

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.

53144 ÷ 2 = 26572 with 0 remainder
26572 ÷ 2 = 13286 with 0 remainder
13286 ÷ 2 = 6643 with 0 remainder
6643 ÷ 2 = 3321 with 1 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 CF98 hexadecimal to binary:

CF98 hexadecimal = 1100111110011000 binary

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CF99 hexadecimal to binary
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