D98D hexadecimal to binary

Here we will show you how to convert the hexadecimal number D98D 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 D98D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D98D by 16⁰, multiply the second to last digit in D98D by 16¹, multiply the third to last digit in D98D by 16², multiply the fourth to last digit in D98D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
8 × 16¹ = 128
9 × 16² = 2304
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 + 2304 + 53248 = 55693

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.

55693 ÷ 2 = 27846 with 1 remainder
27846 ÷ 2 = 13923 with 0 remainder
13923 ÷ 2 = 6961 with 1 remainder
6961 ÷ 2 = 3480 with 1 remainder
3480 ÷ 2 = 1740 with 0 remainder
1740 ÷ 2 = 870 with 0 remainder
870 ÷ 2 = 435 with 0 remainder
435 ÷ 2 = 217 with 1 remainder
217 ÷ 2 = 108 with 1 remainder
108 ÷ 2 = 54 with 0 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 D98D hexadecimal to binary:

D98D hexadecimal = 1101100110001101 binary

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D98E hexadecimal to binary
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