DA9D hexadecimal to binary

Here we will show you how to convert the hexadecimal number DA9D 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 DA9D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DA9D by 16⁰, multiply the second to last digit in DA9D by 16¹, multiply the third to last digit in DA9D by 16², multiply the fourth to last digit in DA9D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
9 × 16¹ = 144
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 + 144 + 2560 + 53248 = 55965

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.

55965 ÷ 2 = 27982 with 1 remainder
27982 ÷ 2 = 13991 with 0 remainder
13991 ÷ 2 = 6995 with 1 remainder
6995 ÷ 2 = 3497 with 1 remainder
3497 ÷ 2 = 1748 with 1 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 DA9D hexadecimal to binary:

DA9D hexadecimal = 1101101010011101 binary

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DA9E hexadecimal to binary
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