38CE hexadecimal to binary

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

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

E × 16⁰ = 14
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:

14 + 192 + 2048 + 12288 = 14542

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.

14542 ÷ 2 = 7271 with 0 remainder
7271 ÷ 2 = 3635 with 1 remainder
3635 ÷ 2 = 1817 with 1 remainder
1817 ÷ 2 = 908 with 1 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 38CE hexadecimal to binary:

38CE hexadecimal = 11100011001110 binary

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38CF hexadecimal to binary
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