
Here we will show you how to convert the hexadecimal number 39CC 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 39CC from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 39CC by 16⁰, multiply the second to last digit in 39CC by 16¹, multiply the third to last digit in 39CC by 16², multiply the fourth to last digit in 39CC by 16³, and so on, until all the digits are used.
C × 16⁰ = 12
C × 16¹ = 192
9 × 16² = 2304
3 × 16³ = 12288
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 + 192 + 2304 + 12288 = 14796
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.
14796 ÷ 2 = 7398 with 0 remainder
7398 ÷ 2 = 3699 with 0 remainder
3699 ÷ 2 = 1849 with 1 remainder
1849 ÷ 2 = 924 with 1 remainder
924 ÷ 2 = 462 with 0 remainder
462 ÷ 2 = 231 with 0 remainder
231 ÷ 2 = 115 with 1 remainder
115 ÷ 2 = 57 with 1 remainder
57 ÷ 2 = 28 with 1 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 39CC hexadecimal to binary:
39CC hexadecimal = 11100111001100 binary
Hexadecimal to Binary Converter
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39CD hexadecimal to binary
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