8E61 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8E61 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 8E61 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8E61 by 16⁰, multiply the second to last digit in 8E61 by 16¹, multiply the third to last digit in 8E61 by 16², multiply the fourth to last digit in 8E61 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
6 × 16¹ = 96
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 + 96 + 3584 + 32768 = 36449

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.

36449 ÷ 2 = 18224 with 1 remainder
18224 ÷ 2 = 9112 with 0 remainder
9112 ÷ 2 = 4556 with 0 remainder
4556 ÷ 2 = 2278 with 0 remainder
2278 ÷ 2 = 1139 with 0 remainder
1139 ÷ 2 = 569 with 1 remainder
569 ÷ 2 = 284 with 1 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 8E61 hexadecimal to binary:

8E61 hexadecimal = 1000111001100001 binary

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8E62 hexadecimal to binary
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