3D98 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3D98 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 3D98 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3D98 by 16⁰, multiply the second to last digit in 3D98 by 16¹, multiply the third to last digit in 3D98 by 16², multiply the fourth to last digit in 3D98 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
9 × 16¹ = 144
D × 16² = 3328
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 + 3328 + 12288 = 15768

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.

15768 ÷ 2 = 7884 with 0 remainder
7884 ÷ 2 = 3942 with 0 remainder
3942 ÷ 2 = 1971 with 0 remainder
1971 ÷ 2 = 985 with 1 remainder
985 ÷ 2 = 492 with 1 remainder
492 ÷ 2 = 246 with 0 remainder
246 ÷ 2 = 123 with 0 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 3D98 hexadecimal to binary:

3D98 hexadecimal = 11110110011000 binary

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3D99 hexadecimal to binary
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