ADA hexadecimal to binary

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

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

A × 16⁰ = 10
D × 16¹ = 208
A × 16² = 2560

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 + 2560 = 2778

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.

2778 ÷ 2 = 1389 with 0 remainder
1389 ÷ 2 = 694 with 1 remainder
694 ÷ 2 = 347 with 0 remainder
347 ÷ 2 = 173 with 1 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 ADA hexadecimal to binary:

ADA hexadecimal = 101011011010 binary

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ADB hexadecimal to binary
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