3D33 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3D33 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 3D33 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3D33 by 16⁰, multiply the second to last digit in 3D33 by 16¹, multiply the third to last digit in 3D33 by 16², multiply the fourth to last digit in 3D33 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
3 × 16¹ = 48
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:

3 + 48 + 3328 + 12288 = 15667

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.

15667 ÷ 2 = 7833 with 1 remainder
7833 ÷ 2 = 3916 with 1 remainder
3916 ÷ 2 = 1958 with 0 remainder
1958 ÷ 2 = 979 with 0 remainder
979 ÷ 2 = 489 with 1 remainder
489 ÷ 2 = 244 with 1 remainder
244 ÷ 2 = 122 with 0 remainder
122 ÷ 2 = 61 with 0 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 3D33 hexadecimal to binary:

3D33 hexadecimal = 11110100110011 binary

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3D34 hexadecimal to binary
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