3984 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3984 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 3984 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3984 by 16⁰, multiply the second to last digit in 3984 by 16¹, multiply the third to last digit in 3984 by 16², multiply the fourth to last digit in 3984 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
8 × 16¹ = 128
9 × 16² = 2304
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:

4 + 128 + 2304 + 12288 = 14724

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.

14724 ÷ 2 = 7362 with 0 remainder
7362 ÷ 2 = 3681 with 0 remainder
3681 ÷ 2 = 1840 with 1 remainder
1840 ÷ 2 = 920 with 0 remainder
920 ÷ 2 = 460 with 0 remainder
460 ÷ 2 = 230 with 0 remainder
230 ÷ 2 = 115 with 0 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 3984 hexadecimal to binary:

3984 hexadecimal = 11100110000100 binary

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3985 hexadecimal to binary
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