AD0D hexadecimal to binary

Here we will show you how to convert the hexadecimal number AD0D 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 AD0D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AD0D by 16⁰, multiply the second to last digit in AD0D by 16¹, multiply the third to last digit in AD0D by 16², multiply the fourth to last digit in AD0D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
0 × 16¹ = 0
D × 16² = 3328
A × 16³ = 40960

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:

13 + 0 + 3328 + 40960 = 44301

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.

44301 ÷ 2 = 22150 with 1 remainder
22150 ÷ 2 = 11075 with 0 remainder
11075 ÷ 2 = 5537 with 1 remainder
5537 ÷ 2 = 2768 with 1 remainder
2768 ÷ 2 = 1384 with 0 remainder
1384 ÷ 2 = 692 with 0 remainder
692 ÷ 2 = 346 with 0 remainder
346 ÷ 2 = 173 with 0 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 AD0D hexadecimal to binary:

AD0D hexadecimal = 1010110100001101 binary

Hexadecimal to Binary Converter
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AD0E hexadecimal to binary
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