EC8B hexadecimal to binary

Here we will show you how to convert the hexadecimal number EC8B 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 EC8B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EC8B by 16⁰, multiply the second to last digit in EC8B by 16¹, multiply the third to last digit in EC8B by 16², multiply the fourth to last digit in EC8B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
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:

11 + 128 + 3072 + 57344 = 60555

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.

60555 ÷ 2 = 30277 with 1 remainder
30277 ÷ 2 = 15138 with 1 remainder
15138 ÷ 2 = 7569 with 0 remainder
7569 ÷ 2 = 3784 with 1 remainder
3784 ÷ 2 = 1892 with 0 remainder
1892 ÷ 2 = 946 with 0 remainder
946 ÷ 2 = 473 with 0 remainder
473 ÷ 2 = 236 with 1 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 EC8B hexadecimal to binary:

EC8B hexadecimal = 1110110010001011 binary

Hexadecimal to Binary Converter
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