CD0B hexadecimal to binary

Here we will show you how to convert the hexadecimal number CD0B 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 CD0B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CD0B by 16⁰, multiply the second to last digit in CD0B by 16¹, multiply the third to last digit in CD0B by 16², multiply the fourth to last digit in CD0B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
D × 16² = 3328
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:

11 + 0 + 3328 + 49152 = 52491

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.

52491 ÷ 2 = 26245 with 1 remainder
26245 ÷ 2 = 13122 with 1 remainder
13122 ÷ 2 = 6561 with 0 remainder
6561 ÷ 2 = 3280 with 1 remainder
3280 ÷ 2 = 1640 with 0 remainder
1640 ÷ 2 = 820 with 0 remainder
820 ÷ 2 = 410 with 0 remainder
410 ÷ 2 = 205 with 0 remainder
205 ÷ 2 = 102 with 1 remainder
102 ÷ 2 = 51 with 0 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 CD0B hexadecimal to binary:

CD0B hexadecimal = 1100110100001011 binary

Hexadecimal to Binary Converter
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CD0C hexadecimal to binary
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