D918 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D918 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 D918 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D918 by 16⁰, multiply the second to last digit in D918 by 16¹, multiply the third to last digit in D918 by 16², multiply the fourth to last digit in D918 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
1 × 16¹ = 16
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:

8 + 16 + 2304 + 53248 = 55576

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.

55576 ÷ 2 = 27788 with 0 remainder
27788 ÷ 2 = 13894 with 0 remainder
13894 ÷ 2 = 6947 with 0 remainder
6947 ÷ 2 = 3473 with 1 remainder
3473 ÷ 2 = 1736 with 1 remainder
1736 ÷ 2 = 868 with 0 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 D918 hexadecimal to binary:

D918 hexadecimal = 1101100100011000 binary

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D919 hexadecimal to binary
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