EC7C hexadecimal to binary

Here we will show you how to convert the hexadecimal number EC7C 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 EC7C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EC7C by 16⁰, multiply the second to last digit in EC7C by 16¹, multiply the third to last digit in EC7C by 16², multiply the fourth to last digit in EC7C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
7 × 16¹ = 112
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:

12 + 112 + 3072 + 57344 = 60540

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.

60540 ÷ 2 = 30270 with 0 remainder
30270 ÷ 2 = 15135 with 0 remainder
15135 ÷ 2 = 7567 with 1 remainder
7567 ÷ 2 = 3783 with 1 remainder
3783 ÷ 2 = 1891 with 1 remainder
1891 ÷ 2 = 945 with 1 remainder
945 ÷ 2 = 472 with 1 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 EC7C hexadecimal to binary:

EC7C hexadecimal = 1110110001111100 binary

Hexadecimal to Binary Converter
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