EB12 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EB12 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 EB12 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EB12 by 16⁰, multiply the second to last digit in EB12 by 16¹, multiply the third to last digit in EB12 by 16², multiply the fourth to last digit in EB12 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
1 × 16¹ = 16
B × 16² = 2816
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:

2 + 16 + 2816 + 57344 = 60178

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.

60178 ÷ 2 = 30089 with 0 remainder
30089 ÷ 2 = 15044 with 1 remainder
15044 ÷ 2 = 7522 with 0 remainder
7522 ÷ 2 = 3761 with 0 remainder
3761 ÷ 2 = 1880 with 1 remainder
1880 ÷ 2 = 940 with 0 remainder
940 ÷ 2 = 470 with 0 remainder
470 ÷ 2 = 235 with 0 remainder
235 ÷ 2 = 117 with 1 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 EB12 hexadecimal to binary:

EB12 hexadecimal = 1110101100010010 binary

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EB13 hexadecimal to binary
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