8E21 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8E21 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 8E21 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8E21 by 16⁰, multiply the second to last digit in 8E21 by 16¹, multiply the third to last digit in 8E21 by 16², multiply the fourth to last digit in 8E21 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
E × 16² = 3584
8 × 16³ = 32768

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 + 32 + 3584 + 32768 = 36385

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.

36385 ÷ 2 = 18192 with 1 remainder
18192 ÷ 2 = 9096 with 0 remainder
9096 ÷ 2 = 4548 with 0 remainder
4548 ÷ 2 = 2274 with 0 remainder
2274 ÷ 2 = 1137 with 0 remainder
1137 ÷ 2 = 568 with 1 remainder
568 ÷ 2 = 284 with 0 remainder
284 ÷ 2 = 142 with 0 remainder
142 ÷ 2 = 71 with 0 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 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 8E21 hexadecimal to binary:

8E21 hexadecimal = 1000111000100001 binary

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8E22 hexadecimal to binary
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