4DC8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4DC8 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 4DC8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4DC8 by 16⁰, multiply the second to last digit in 4DC8 by 16¹, multiply the third to last digit in 4DC8 by 16², multiply the fourth to last digit in 4DC8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
C × 16¹ = 192
D × 16² = 3328
4 × 16³ = 16384

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:

8 + 192 + 3328 + 16384 = 19912

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.

19912 ÷ 2 = 9956 with 0 remainder
9956 ÷ 2 = 4978 with 0 remainder
4978 ÷ 2 = 2489 with 0 remainder
2489 ÷ 2 = 1244 with 1 remainder
1244 ÷ 2 = 622 with 0 remainder
622 ÷ 2 = 311 with 0 remainder
311 ÷ 2 = 155 with 1 remainder
155 ÷ 2 = 77 with 1 remainder
77 ÷ 2 = 38 with 1 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4DC8 hexadecimal to binary:

4DC8 hexadecimal = 100110111001000 binary

Hexadecimal to Binary Converter
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4DC9 hexadecimal to binary
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