3898 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3898 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 3898 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3898 by 16⁰, multiply the second to last digit in 3898 by 16¹, multiply the third to last digit in 3898 by 16², multiply the fourth to last digit in 3898 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
9 × 16¹ = 144
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:

8 + 144 + 2048 + 12288 = 14488

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.

14488 ÷ 2 = 7244 with 0 remainder
7244 ÷ 2 = 3622 with 0 remainder
3622 ÷ 2 = 1811 with 0 remainder
1811 ÷ 2 = 905 with 1 remainder
905 ÷ 2 = 452 with 1 remainder
452 ÷ 2 = 226 with 0 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 3898 hexadecimal to binary:

3898 hexadecimal = 11100010011000 binary

Hexadecimal to Binary Converter
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3899 hexadecimal to binary
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