D721 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D721 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 D721 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D721 by 16⁰, multiply the second to last digit in D721 by 16¹, multiply the third to last digit in D721 by 16², multiply the fourth to last digit in D721 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
7 × 16² = 1792
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 + 1792 + 53248 = 55073

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.

55073 ÷ 2 = 27536 with 1 remainder
27536 ÷ 2 = 13768 with 0 remainder
13768 ÷ 2 = 6884 with 0 remainder
6884 ÷ 2 = 3442 with 0 remainder
3442 ÷ 2 = 1721 with 0 remainder
1721 ÷ 2 = 860 with 1 remainder
860 ÷ 2 = 430 with 0 remainder
430 ÷ 2 = 215 with 0 remainder
215 ÷ 2 = 107 with 1 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 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 D721 hexadecimal to binary:

D721 hexadecimal = 1101011100100001 binary

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D722 hexadecimal to binary
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