38AE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 38AE 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 38AE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 38AE by 16⁰, multiply the second to last digit in 38AE by 16¹, multiply the third to last digit in 38AE by 16², multiply the fourth to last digit in 38AE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
A × 16¹ = 160
8 × 16² = 2048
3 × 16³ = 12288

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 + 160 + 2048 + 12288 = 14510

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.

14510 ÷ 2 = 7255 with 0 remainder
7255 ÷ 2 = 3627 with 1 remainder
3627 ÷ 2 = 1813 with 1 remainder
1813 ÷ 2 = 906 with 1 remainder
906 ÷ 2 = 453 with 0 remainder
453 ÷ 2 = 226 with 1 remainder
226 ÷ 2 = 113 with 0 remainder
113 ÷ 2 = 56 with 1 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 38AE hexadecimal to binary:

38AE hexadecimal = 11100010101110 binary

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38AF hexadecimal to binary
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