CB10 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CB10 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 CB10 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CB10 by 16⁰, multiply the second to last digit in CB10 by 16¹, multiply the third to last digit in CB10 by 16², multiply the fourth to last digit in CB10 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
1 × 16¹ = 16
B × 16² = 2816
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 + 2816 + 49152 = 51984

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.

51984 ÷ 2 = 25992 with 0 remainder
25992 ÷ 2 = 12996 with 0 remainder
12996 ÷ 2 = 6498 with 0 remainder
6498 ÷ 2 = 3249 with 0 remainder
3249 ÷ 2 = 1624 with 1 remainder
1624 ÷ 2 = 812 with 0 remainder
812 ÷ 2 = 406 with 0 remainder
406 ÷ 2 = 203 with 0 remainder
203 ÷ 2 = 101 with 1 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 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 CB10 hexadecimal to binary:

CB10 hexadecimal = 1100101100010000 binary

Hexadecimal to Binary Converter
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CB11 hexadecimal to binary
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