EDA8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EDA8 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 EDA8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EDA8 by 16⁰, multiply the second to last digit in EDA8 by 16¹, multiply the third to last digit in EDA8 by 16², multiply the fourth to last digit in EDA8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
A × 16¹ = 160
D × 16² = 3328
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 + 160 + 3328 + 57344 = 60840

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.

60840 ÷ 2 = 30420 with 0 remainder
30420 ÷ 2 = 15210 with 0 remainder
15210 ÷ 2 = 7605 with 0 remainder
7605 ÷ 2 = 3802 with 1 remainder
3802 ÷ 2 = 1901 with 0 remainder
1901 ÷ 2 = 950 with 1 remainder
950 ÷ 2 = 475 with 0 remainder
475 ÷ 2 = 237 with 1 remainder
237 ÷ 2 = 118 with 1 remainder
118 ÷ 2 = 59 with 0 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 EDA8 hexadecimal to binary:

EDA8 hexadecimal = 1110110110101000 binary

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EDA9 hexadecimal to binary
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