82E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 82E 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 82E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 82E by 16⁰, multiply the second to last digit in 82E by 16¹, multiply the third to last digit in 82E by 16², multiply the fourth to last digit in 82E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
2 × 16¹ = 32
8 × 16² = 2048

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:

14 + 32 + 2048 = 2094

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.

2094 ÷ 2 = 1047 with 0 remainder
1047 ÷ 2 = 523 with 1 remainder
523 ÷ 2 = 261 with 1 remainder
261 ÷ 2 = 130 with 1 remainder
130 ÷ 2 = 65 with 0 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 82E hexadecimal to binary:

82E hexadecimal = 100000101110 binary

Hexadecimal to Binary Converter
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82F hexadecimal to binary
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