D427 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D427 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 D427 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D427 by 16⁰, multiply the second to last digit in D427 by 16¹, multiply the third to last digit in D427 by 16², multiply the fourth to last digit in D427 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
2 × 16¹ = 32
4 × 16² = 1024
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:

7 + 32 + 1024 + 53248 = 54311

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.

54311 ÷ 2 = 27155 with 1 remainder
27155 ÷ 2 = 13577 with 1 remainder
13577 ÷ 2 = 6788 with 1 remainder
6788 ÷ 2 = 3394 with 0 remainder
3394 ÷ 2 = 1697 with 0 remainder
1697 ÷ 2 = 848 with 1 remainder
848 ÷ 2 = 424 with 0 remainder
424 ÷ 2 = 212 with 0 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 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 D427 hexadecimal to binary:

D427 hexadecimal = 1101010000100111 binary

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D428 hexadecimal to binary
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