52DC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 52DC 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 52DC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 52DC by 16⁰, multiply the second to last digit in 52DC by 16¹, multiply the third to last digit in 52DC by 16², multiply the fourth to last digit in 52DC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
D × 16¹ = 208
2 × 16² = 512
5 × 16³ = 20480

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:

12 + 208 + 512 + 20480 = 21212

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.

21212 ÷ 2 = 10606 with 0 remainder
10606 ÷ 2 = 5303 with 0 remainder
5303 ÷ 2 = 2651 with 1 remainder
2651 ÷ 2 = 1325 with 1 remainder
1325 ÷ 2 = 662 with 1 remainder
662 ÷ 2 = 331 with 0 remainder
331 ÷ 2 = 165 with 1 remainder
165 ÷ 2 = 82 with 1 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 52DC hexadecimal to binary:

52DC hexadecimal = 101001011011100 binary

Hexadecimal to Binary Converter
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52DD hexadecimal to binary
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