4C66 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4C66 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 4C66 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4C66 by 16⁰, multiply the second to last digit in 4C66 by 16¹, multiply the third to last digit in 4C66 by 16², multiply the fourth to last digit in 4C66 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
6 × 16¹ = 96
C × 16² = 3072
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:

6 + 96 + 3072 + 16384 = 19558

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.

19558 ÷ 2 = 9779 with 0 remainder
9779 ÷ 2 = 4889 with 1 remainder
4889 ÷ 2 = 2444 with 1 remainder
2444 ÷ 2 = 1222 with 0 remainder
1222 ÷ 2 = 611 with 0 remainder
611 ÷ 2 = 305 with 1 remainder
305 ÷ 2 = 152 with 1 remainder
152 ÷ 2 = 76 with 0 remainder
76 ÷ 2 = 38 with 0 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 4C66 hexadecimal to binary:

4C66 hexadecimal = 100110001100110 binary

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4C67 hexadecimal to binary
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