EADC hexadecimal to binary

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

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

C × 16⁰ = 12
D × 16¹ = 208
A × 16² = 2560
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:

12 + 208 + 2560 + 57344 = 60124

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.

60124 ÷ 2 = 30062 with 0 remainder
30062 ÷ 2 = 15031 with 0 remainder
15031 ÷ 2 = 7515 with 1 remainder
7515 ÷ 2 = 3757 with 1 remainder
3757 ÷ 2 = 1878 with 1 remainder
1878 ÷ 2 = 939 with 0 remainder
939 ÷ 2 = 469 with 1 remainder
469 ÷ 2 = 234 with 1 remainder
234 ÷ 2 = 117 with 0 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 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 EADC hexadecimal to binary:

EADC hexadecimal = 1110101011011100 binary

Hexadecimal to Binary Converter
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