E2D8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E2D8 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 E2D8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E2D8 by 16⁰, multiply the second to last digit in E2D8 by 16¹, multiply the third to last digit in E2D8 by 16², multiply the fourth to last digit in E2D8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
D × 16¹ = 208
2 × 16² = 512
E × 16³ = 57344

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 + 208 + 512 + 57344 = 58072

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.

58072 ÷ 2 = 29036 with 0 remainder
29036 ÷ 2 = 14518 with 0 remainder
14518 ÷ 2 = 7259 with 0 remainder
7259 ÷ 2 = 3629 with 1 remainder
3629 ÷ 2 = 1814 with 1 remainder
1814 ÷ 2 = 907 with 0 remainder
907 ÷ 2 = 453 with 1 remainder
453 ÷ 2 = 226 with 1 remainder
226 ÷ 2 = 113 with 0 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 E2D8 hexadecimal to binary:

E2D8 hexadecimal = 1110001011011000 binary

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E2D9 hexadecimal to binary
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