E71 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E71 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 E71 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E71 by 16⁰, multiply the second to last digit in E71 by 16¹, multiply the third to last digit in E71 by 16², multiply the fourth to last digit in E71 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
7 × 16¹ = 112
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 + 112 + 3584 = 3697

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.

3697 ÷ 2 = 1848 with 1 remainder
1848 ÷ 2 = 924 with 0 remainder
924 ÷ 2 = 462 with 0 remainder
462 ÷ 2 = 231 with 0 remainder
231 ÷ 2 = 115 with 1 remainder
115 ÷ 2 = 57 with 1 remainder
57 ÷ 2 = 28 with 1 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 E71 hexadecimal to binary:

E71 hexadecimal = 111001110001 binary

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E72 hexadecimal to binary
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