A8DE hexadecimal to binary

Here we will show you how to convert the hexadecimal number A8DE 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 A8DE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A8DE by 16⁰, multiply the second to last digit in A8DE by 16¹, multiply the third to last digit in A8DE by 16², multiply the fourth to last digit in A8DE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
D × 16¹ = 208
8 × 16² = 2048
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:

14 + 208 + 2048 + 40960 = 43230

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.

43230 ÷ 2 = 21615 with 0 remainder
21615 ÷ 2 = 10807 with 1 remainder
10807 ÷ 2 = 5403 with 1 remainder
5403 ÷ 2 = 2701 with 1 remainder
2701 ÷ 2 = 1350 with 1 remainder
1350 ÷ 2 = 675 with 0 remainder
675 ÷ 2 = 337 with 1 remainder
337 ÷ 2 = 168 with 1 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 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 A8DE hexadecimal to binary:

A8DE hexadecimal = 1010100011011110 binary

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A8DF hexadecimal to binary
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