DF33 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DF33 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 DF33 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DF33 by 16⁰, multiply the second to last digit in DF33 by 16¹, multiply the third to last digit in DF33 by 16², multiply the fourth to last digit in DF33 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
3 × 16¹ = 48
F × 16² = 3840
D × 16³ = 53248

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 + 3840 + 53248 = 57139

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.

57139 ÷ 2 = 28569 with 1 remainder
28569 ÷ 2 = 14284 with 1 remainder
14284 ÷ 2 = 7142 with 0 remainder
7142 ÷ 2 = 3571 with 0 remainder
3571 ÷ 2 = 1785 with 1 remainder
1785 ÷ 2 = 892 with 1 remainder
892 ÷ 2 = 446 with 0 remainder
446 ÷ 2 = 223 with 0 remainder
223 ÷ 2 = 111 with 1 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 DF33 hexadecimal to binary:

DF33 hexadecimal = 1101111100110011 binary

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DF34 hexadecimal to binary
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