3C38 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3C38 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 3C38 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3C38 by 16⁰, multiply the second to last digit in 3C38 by 16¹, multiply the third to last digit in 3C38 by 16², multiply the fourth to last digit in 3C38 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
3 × 16¹ = 48
C × 16² = 3072
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:

8 + 48 + 3072 + 12288 = 15416

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.

15416 ÷ 2 = 7708 with 0 remainder
7708 ÷ 2 = 3854 with 0 remainder
3854 ÷ 2 = 1927 with 0 remainder
1927 ÷ 2 = 963 with 1 remainder
963 ÷ 2 = 481 with 1 remainder
481 ÷ 2 = 240 with 1 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 3C38 hexadecimal to binary:

3C38 hexadecimal = 11110000111000 binary

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3C39 hexadecimal to binary
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