DA85 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DA85 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 DA85 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DA85 by 16⁰, multiply the second to last digit in DA85 by 16¹, multiply the third to last digit in DA85 by 16², multiply the fourth to last digit in DA85 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
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:

5 + 128 + 2560 + 53248 = 55941

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.

55941 ÷ 2 = 27970 with 1 remainder
27970 ÷ 2 = 13985 with 0 remainder
13985 ÷ 2 = 6992 with 1 remainder
6992 ÷ 2 = 3496 with 0 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 DA85 hexadecimal to binary:

DA85 hexadecimal = 1101101010000101 binary

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DA86 hexadecimal to binary
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