EEDD hexadecimal to binary

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

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

D × 16⁰ = 13
D × 16¹ = 208
E × 16² = 3584
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:

13 + 208 + 3584 + 57344 = 61149

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.

61149 ÷ 2 = 30574 with 1 remainder
30574 ÷ 2 = 15287 with 0 remainder
15287 ÷ 2 = 7643 with 1 remainder
7643 ÷ 2 = 3821 with 1 remainder
3821 ÷ 2 = 1910 with 1 remainder
1910 ÷ 2 = 955 with 0 remainder
955 ÷ 2 = 477 with 1 remainder
477 ÷ 2 = 238 with 1 remainder
238 ÷ 2 = 119 with 0 remainder
119 ÷ 2 = 59 with 1 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 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 EEDD hexadecimal to binary:

EEDD hexadecimal = 1110111011011101 binary

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EEDE hexadecimal to binary
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