E11 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E11 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 E11 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E11 by 16⁰, multiply the second to last digit in E11 by 16¹, multiply the third to last digit in E11 by 16², multiply the fourth to last digit in E11 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
1 × 16¹ = 16
E × 16² = 3584

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:

1 + 16 + 3584 = 3601

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.

3601 ÷ 2 = 1800 with 1 remainder
1800 ÷ 2 = 900 with 0 remainder
900 ÷ 2 = 450 with 0 remainder
450 ÷ 2 = 225 with 0 remainder
225 ÷ 2 = 112 with 1 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 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 E11 hexadecimal to binary:

E11 hexadecimal = 111000010001 binary

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E12 hexadecimal to binary
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