8384 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8384 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 8384 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8384 by 16⁰, multiply the second to last digit in 8384 by 16¹, multiply the third to last digit in 8384 by 16², multiply the fourth to last digit in 8384 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
8 × 16¹ = 128
3 × 16² = 768
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:

4 + 128 + 768 + 32768 = 33668

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.

33668 ÷ 2 = 16834 with 0 remainder
16834 ÷ 2 = 8417 with 0 remainder
8417 ÷ 2 = 4208 with 1 remainder
4208 ÷ 2 = 2104 with 0 remainder
2104 ÷ 2 = 1052 with 0 remainder
1052 ÷ 2 = 526 with 0 remainder
526 ÷ 2 = 263 with 0 remainder
263 ÷ 2 = 131 with 1 remainder
131 ÷ 2 = 65 with 1 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 8384 hexadecimal to binary:

8384 hexadecimal = 1000001110000100 binary

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8385 hexadecimal to binary
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