DA8D hexadecimal to binary

Here we will show you how to convert the hexadecimal number DA8D 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 DA8D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DA8D by 16⁰, multiply the second to last digit in DA8D by 16¹, multiply the third to last digit in DA8D by 16², multiply the fourth to last digit in DA8D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
8 × 16¹ = 128
A × 16² = 2560
D × 16³ = 53248

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 + 128 + 2560 + 53248 = 55949

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.

55949 ÷ 2 = 27974 with 1 remainder
27974 ÷ 2 = 13987 with 0 remainder
13987 ÷ 2 = 6993 with 1 remainder
6993 ÷ 2 = 3496 with 1 remainder
3496 ÷ 2 = 1748 with 0 remainder
1748 ÷ 2 = 874 with 0 remainder
874 ÷ 2 = 437 with 0 remainder
437 ÷ 2 = 218 with 1 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 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 DA8D hexadecimal to binary:

DA8D hexadecimal = 1101101010001101 binary

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DA8E hexadecimal to binary
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