DC30 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DC30 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 DC30 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DC30 by 16⁰, multiply the second to last digit in DC30 by 16¹, multiply the third to last digit in DC30 by 16², multiply the fourth to last digit in DC30 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
3 × 16¹ = 48
C × 16² = 3072
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:

0 + 48 + 3072 + 53248 = 56368

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.

56368 ÷ 2 = 28184 with 0 remainder
28184 ÷ 2 = 14092 with 0 remainder
14092 ÷ 2 = 7046 with 0 remainder
7046 ÷ 2 = 3523 with 0 remainder
3523 ÷ 2 = 1761 with 1 remainder
1761 ÷ 2 = 880 with 1 remainder
880 ÷ 2 = 440 with 0 remainder
440 ÷ 2 = 220 with 0 remainder
220 ÷ 2 = 110 with 0 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 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 DC30 hexadecimal to binary:

DC30 hexadecimal = 1101110000110000 binary

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DC31 hexadecimal to binary
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