38C2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 38C2 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 38C2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 38C2 by 16⁰, multiply the second to last digit in 38C2 by 16¹, multiply the third to last digit in 38C2 by 16², multiply the fourth to last digit in 38C2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
C × 16¹ = 192
8 × 16² = 2048
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:

2 + 192 + 2048 + 12288 = 14530

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.

14530 ÷ 2 = 7265 with 0 remainder
7265 ÷ 2 = 3632 with 1 remainder
3632 ÷ 2 = 1816 with 0 remainder
1816 ÷ 2 = 908 with 0 remainder
908 ÷ 2 = 454 with 0 remainder
454 ÷ 2 = 227 with 0 remainder
227 ÷ 2 = 113 with 1 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 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 38C2 hexadecimal to binary:

38C2 hexadecimal = 11100011000010 binary

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