A0DA hexadecimal to binary

Here we will show you how to convert the hexadecimal number A0DA 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 A0DA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A0DA by 16⁰, multiply the second to last digit in A0DA by 16¹, multiply the third to last digit in A0DA by 16², multiply the fourth to last digit in A0DA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
D × 16¹ = 208
0 × 16² = 0
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:

10 + 208 + 0 + 40960 = 41178

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.

41178 ÷ 2 = 20589 with 0 remainder
20589 ÷ 2 = 10294 with 1 remainder
10294 ÷ 2 = 5147 with 0 remainder
5147 ÷ 2 = 2573 with 1 remainder
2573 ÷ 2 = 1286 with 1 remainder
1286 ÷ 2 = 643 with 0 remainder
643 ÷ 2 = 321 with 1 remainder
321 ÷ 2 = 160 with 1 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 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 A0DA hexadecimal to binary:

A0DA hexadecimal = 1010000011011010 binary

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A0DB hexadecimal to binary
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