3D21 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3D21 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 3D21 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3D21 by 16⁰, multiply the second to last digit in 3D21 by 16¹, multiply the third to last digit in 3D21 by 16², multiply the fourth to last digit in 3D21 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
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:

1 + 32 + 3328 + 12288 = 15649

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.

15649 ÷ 2 = 7824 with 1 remainder
7824 ÷ 2 = 3912 with 0 remainder
3912 ÷ 2 = 1956 with 0 remainder
1956 ÷ 2 = 978 with 0 remainder
978 ÷ 2 = 489 with 0 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 3D21 hexadecimal to binary:

3D21 hexadecimal = 11110100100001 binary

Hexadecimal to Binary Converter
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3D22 hexadecimal to binary
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