9DDD hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9DDD 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 9DDD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9DDD by 16⁰, multiply the second to last digit in 9DDD by 16¹, multiply the third to last digit in 9DDD by 16², multiply the fourth to last digit in 9DDD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
D × 16¹ = 208
D × 16² = 3328
9 × 16³ = 36864

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 + 208 + 3328 + 36864 = 40413

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.

40413 ÷ 2 = 20206 with 1 remainder
20206 ÷ 2 = 10103 with 0 remainder
10103 ÷ 2 = 5051 with 1 remainder
5051 ÷ 2 = 2525 with 1 remainder
2525 ÷ 2 = 1262 with 1 remainder
1262 ÷ 2 = 631 with 0 remainder
631 ÷ 2 = 315 with 1 remainder
315 ÷ 2 = 157 with 1 remainder
157 ÷ 2 = 78 with 1 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 9DDD hexadecimal to binary:

9DDD hexadecimal = 1001110111011101 binary

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9DDE hexadecimal to binary
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