EC18 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EC18 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 EC18 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EC18 by 16⁰, multiply the second to last digit in EC18 by 16¹, multiply the third to last digit in EC18 by 16², multiply the fourth to last digit in EC18 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
1 × 16¹ = 16
C × 16² = 3072
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 + 16 + 3072 + 57344 = 60440

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.

60440 ÷ 2 = 30220 with 0 remainder
30220 ÷ 2 = 15110 with 0 remainder
15110 ÷ 2 = 7555 with 0 remainder
7555 ÷ 2 = 3777 with 1 remainder
3777 ÷ 2 = 1888 with 1 remainder
1888 ÷ 2 = 944 with 0 remainder
944 ÷ 2 = 472 with 0 remainder
472 ÷ 2 = 236 with 0 remainder
236 ÷ 2 = 118 with 0 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 EC18 hexadecimal to binary:

EC18 hexadecimal = 1110110000011000 binary

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EC19 hexadecimal to binary
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