D921 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D921 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 D921 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D921 by 16⁰, multiply the second to last digit in D921 by 16¹, multiply the third to last digit in D921 by 16², multiply the fourth to last digit in D921 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
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:

1 + 32 + 2304 + 53248 = 55585

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.

55585 ÷ 2 = 27792 with 1 remainder
27792 ÷ 2 = 13896 with 0 remainder
13896 ÷ 2 = 6948 with 0 remainder
6948 ÷ 2 = 3474 with 0 remainder
3474 ÷ 2 = 1737 with 0 remainder
1737 ÷ 2 = 868 with 1 remainder
868 ÷ 2 = 434 with 0 remainder
434 ÷ 2 = 217 with 0 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 D921 hexadecimal to binary:

D921 hexadecimal = 1101100100100001 binary

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D922 hexadecimal to binary
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