56CD hexadecimal to binary

Here we will show you how to convert the hexadecimal number 56CD 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 56CD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 56CD by 16⁰, multiply the second to last digit in 56CD by 16¹, multiply the third to last digit in 56CD by 16², multiply the fourth to last digit in 56CD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
C × 16¹ = 192
6 × 16² = 1536
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:

13 + 192 + 1536 + 20480 = 22221

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.

22221 ÷ 2 = 11110 with 1 remainder
11110 ÷ 2 = 5555 with 0 remainder
5555 ÷ 2 = 2777 with 1 remainder
2777 ÷ 2 = 1388 with 1 remainder
1388 ÷ 2 = 694 with 0 remainder
694 ÷ 2 = 347 with 0 remainder
347 ÷ 2 = 173 with 1 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 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 56CD hexadecimal to binary:

56CD hexadecimal = 101011011001101 binary

Hexadecimal to Binary Converter
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