D6C2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D6C2 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 D6C2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D6C2 by 16⁰, multiply the second to last digit in D6C2 by 16¹, multiply the third to last digit in D6C2 by 16², multiply the fourth to last digit in D6C2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
C × 16¹ = 192
6 × 16² = 1536
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:

2 + 192 + 1536 + 53248 = 54978

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.

54978 ÷ 2 = 27489 with 0 remainder
27489 ÷ 2 = 13744 with 1 remainder
13744 ÷ 2 = 6872 with 0 remainder
6872 ÷ 2 = 3436 with 0 remainder
3436 ÷ 2 = 1718 with 0 remainder
1718 ÷ 2 = 859 with 0 remainder
859 ÷ 2 = 429 with 1 remainder
429 ÷ 2 = 214 with 1 remainder
214 ÷ 2 = 107 with 0 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 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 D6C2 hexadecimal to binary:

D6C2 hexadecimal = 1101011011000010 binary

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